ABSTRACT. This article studies the applicability of the Non-Destructive Techniques (NDT) into semi-rigid structures, particular in soil-cement columns. A numerical model for the semi-rigid soil-cement column is firstly created. Different kinds of defects are intentionally allocated in the model, including necking, bulging and degraded stiffness. The assumption is that by using an excitation as an impact load at the structure head and then letting the structure vibrating freely, studying the wave characteristics inside the structure, i.e. responsive velocity and displacement at various points along the column shaft, the impedance could be determined. If there is any variation in the mechanical impedance Z, which is defined to be the product of mass density, area of the cross section, and the wave velocity, the defects are confirmed. The shape of the impedance curves with respect to combined defects is analyzed and spectral response curves are plotted. The process of analysis in time domain and frequency domain for soil-cement column is conducted using Fast Fourier Transformation. The theoretical and computed impedance of the structure from the numerical model will be compared with each other, in the shape of the responsive curves, and the distinguished issues; some discussions on the propagation of waves through semi-rigid structures are summarized. There is no any distinguished feature in the characteristics of impedance of the structure revealed. It comes to conclusion that the applicability of the vibration test is not clearly recognized. There is quite a difficulty in evaluating the performance of the semi-rigid structures like soil-cement columns by using vibration or impact load test. This outcome suggests that the column is not the same as pile, and another alternative and/or approach is recommended to apply in quality assurance/control QA/QC for such embedded semi-rigid structures.

ABSTRACT. Volterra integrodifferential equations are applied in many models of phenomena in the life sciences, biology, physics and engineering sciences. Stability problem of solutions to Volterra integro-differential equations have been studied intensively during the past decades. In this report, we present a novel approach to the asymptotic stability and exponential stability of solutions to Volterra integro differential systems. Consequently, we obtain some new explicit criteria for the asymptotic stability and exponential stability of solutions to general nonlinear time-varying Volterra-integro differential systems with finite and infinite delays. Some applications of the obtained results are given. Some examples are provided to illustrate the obtained results. This research is supported by the project B2020.SPD.04.

ABSTRACT. We propose some new concepts of generalized quasi-convexity under the terminology "sequential quasi-convexity". The main idea is replacing convex domains or whole line segments, used in the known definitions of (generalized) quasi-convexity, by a sequence of points tending to the point of interest. Applying these significantly relaxed properties of quasi-convexity, we establish new results in the three topics: "local min to global min" and "local max to global min" type properties, optimality conditions, and duality theorems in the Wolfe and Mond-Weir duality schemes. To suit the main research directions in the literature, we consider vector optimization, though when applied to simple scalar problems, the obtained results also improve known ones in the literature.

ABSTRACT. Recently, Adam studied Pexider type functional equation $ f(x+y)+f(x-y)+g(x+y)=2f(x)+2f(y)+g(x)+g(y),$ resulting from summing up quadratic and additive functional equations side by side. The result on the Hyers-Ulam stability of such equation was established in the paper "M.~Adam, Alienation of quadratic and additive functional equations, Analysis Math., D O I : 10.1007/s10476- 019- 086 9- 1, 2018". However, the estimates obtained in above result are relatively big.

The aim of our work is to improve the Adam’s results on stability of Pexider type functional equation with some better estimates.

ABSTRACT. In this paper, we introduce the notion of an asymptotically quasi G-phi-nonexpansive mapping in smooth Banach spaces with directed graphs. After that, we prove some strong convergence results for such mappings via two inertial hybrid iteration processes in uniformly convex and uniformly smooth Banach spaces with directed graphs. As applications, we obtain some strong convergence results in Hilbert spaces with directed graphs. In addition, we give some examples to illustrate obtained~results.

ABSTRACT. In this talk, we focus our attention on set optimization problems based on the set less order relations. First, we introduce the concept of set convergence in the senses of Panilevé–Kuratowski and Hausdorff. Next, we investigate the internal and external stability of the solutions in the image space. Namely, any sequence of solutions to perturbed problems has a subsequence converging to a solution of the original problem. Conversely, each solution of the original problem can be expressed as a limit point of a sequence of solutions to perturbed problems. Our results improve the existing ones in the literature.

ABSTRACT. Leopard skin appeared on the surface of the cervix in vaginitis is associated with trichomoniasis infection. Trichomoniasis is one of the most common sexually transmitted infections (STIs) worldwide with about 276 million new cases each year. The appearance of leopard skin in the cervix is the origin of cervicitis and some other dangerous gynecological diseases. Without early detection and timely treatment, the disease can become one of the causes of infertility and cervical cancer. In clinical, colposcopy combined with the use of Lugol's iodine is a common method for detecting the presence of leopard skin. This method is considered to be of low accuracy, the diagnosis result depends on the quality of lugol, the smear technique and the experience of doctor reading result. In this study, based on the distribution characteristics of blood and glycogen, we developed an automated method of detecting the presence of leopard skin from images obtained by digital colposcopes. Results of image segmentation are compared and evaluated with traditional method. Finally, the ratio of inflammatory pixels to cervical surface pixels is calculated which assists the doctor to draw conclusions about the extent of the disease.

ABSTRACT. This study aims to describe the mechanical behavior of ankle-foot orthotics (AFO) through ANSYS software. With the application of the finite element method to simulate mechanical behavior, fatigue strength over time, and optimize the structure, this allows us to assess hazardous locations and working time. From there, you can reinforce those positions and increase product life. Reality has shown that traditional models are uncomfortable for patients and do not work long-term, through this study partly solve the above problems. To check reliability, the calculated results will be compared with sample articles in prestigious scientific journals or printed in 3D and tested directly on patients and consulted.

ABSTRACT. Collagen is an important component of cervix. Cervical collagen orientation and distribution can be used to detect diseases such as cervical cancer and preterm birth. In recent years, many researches based on optical method were given to describe collagen fibers organization in cervix using optical coherence tomography or Mueller matrix polarimetry. However, almost previous methods are expensive and complicated to study in patient. In this study, we propose a non-invasive method based on cross-polarized light imaging combine Radon transform to measure the collagen orientation distribution in cervix. Our method has real-time result and fast acquisition of cervical images to determine collagen fibers orientation distribution.

ABSTRACT. Studies of otitis media (OM) pathology indicate that most of the clinical symptoms of its appearance on the tympanic membrane (TM). There have been many studies published methods to segment the TM. However, the results were not high due to the influence of biological objects on the TM. In this study, we propose a method to support the TM segmentation from the surrounding tissue region based on multi-wavelength imaging technology. The obtained result is quite high when using the red image in combination with the median filter with an accuracy of more than 87%. This result opens up a new direction in combining multi-wavelength images to segment the eardrum and automatically diagnose middle ear infections.

ABSTRACT. The aim of this research is to evaluate the effect of low-level laser therapy (LLLT) on the healing of the burn for the mouse. 4 mouses are divided into 4 groups. Group 1, 2, 3 is irradiated by a wavelength of 532nm, 850nm, and 940nm. Group 4 is a control group which has a natural recovery. Low-level laser therapy makes the regenerative process, healing occurs faster, and rehabilitation of mouse activity during treatment.

ABSTRACT. Many assumption models that belong to contact were given by physicists. Due to, many questions need answers such as principal stress’s equation of special bodies, the changing of contact area when bodies interact together, influencing of sizing bodies with contact’s results, ... For example, one of the classic problems was created by hertz with content include two-sphere interact and subject loads for each end. Another, the elastic half-space contact with a rigid flat punch was described detail in Johnson (1987). In this paper, the two problems will be simulated by using the Finite Element Method (FEM). FEM will be compared with Analytics which was given by physicists. Especially, in the elastic half-space, FEM’s results will be simulated again by changing some sizing model which was used in FEM software.

ABSTRACT. Hyperelastic material is the material that cannot be accurately simulated bases on linear elastic models because of its nonlinearity in stress-strain relationship. Many different models have been developed to deal with this type of material such as neo-Hookean, Mooney-Rivlin and Arruda Boyce model. Due to its behavior which responds elastically when subjected to very large strains. It not only account for nonlinear material but also nonlinear deformation. Different from linear elastic material, hyperelastic material uses strain energy density function to derive the relationship between stress and strain. This material has been widely used to describe the behavior of biological tissues, foam, rubber, and so on. Up to now, there are many methods that have been developed to deal with these problems with geometric and material nonlinearity. Meshfree method has been well-known for its effective due to no requirement of explicit mesh in computation and avoid mesh distortion in large deformation problem. In this study, an improved moving Kriging meshless method is used to demonstrate the behavior of hyperelastic materials based on the Neo-Hookean model. The obtained results will then be compared with the reference solutions which was given by other methods to verify the accuracy of the proposed method.

ABSTRACT. Mechanical gear is one of the most common and important components in machinery. Evaluation on durability of gears plays an important role in the assessment of the whole system reliability and service life. For other parts like shafts, the gears act as loads. Therefore, dimensions and weight of the gears should be reduced as much as possible, contributing to the size and weight reduction of the whole system, which is essential to be cost-effectiveness. The current research focuses on optimal weight design problem of spur gears, such that the weight is minimized under the constraints taken from working conditions. The set of optimum parameters is determined by the heuristic algorithm Grey Wolf Optimizer (GWO). The accuracy and efficiency of the GWO in the optimal weight design problem of spur gears is assessed based on comparison with the popular Genetic Algorithm (GA).

ABSTRACT. Mechanical gears usually work under cyclic loading and thus are subject to fatigue failure. The stress distribution in gears is not uniform. High stress concentration is observed locally in contact areas and in regions near the root of gear teeth. Although the local high stress values may not exceed the limit according to strength of materials, they obviously have influence on the total service life of the gear. A small change in the stress values may lead to a big change in the prediction of remaining life. Therefore, an accurate assessment of stress in gears are of great importance. Furthermore, reducing the local stress concentration is crucial. Some previous works have proposed the employment of small holes in the region around gear teeth, namely the stress-relieving holes. The present work focuses on investigation of stress distribution in spur gears under two conditions: with and without stress-relieving holes. For this purpose, a finite element model of spur gears is developed. The numerical model is also used to examine how factors such as position, size and shape of the holes may affect the stress distribution in spur gears.

ABSTRACT. Gears are one of the most common mechanical components in any mechanical systems. Durability of gears plays an important role in the reliability and service life of the whole system. Therefore, stress analysis of spur gears in working is a crucial engineering task. This process aims to identify regions where stress concentration occurs, since these area are where damage would be likely initiated. Furthermore, a detailed assessment of stress distribution enables the engineers to explore the possibility of mass reduction. The current develops a finite element model to numerically simulate the contact of spur gears in working. The influence of geometric parameters such as the fillet radius of gear teeth, the position and shape of mass reduction holes on the stress field is investigated.

ABSTRACT. The rate of air pollution in centrally controlled cities in Vietnam is getting more severe. The fact that the level of air pollutants in Ha Noi city and Ho Chi Minh city is being reported to be equal or even more than that of the two most polluted cities in the world which are Beijing and New Delhi. Depend on many sources of information, we have created a device that can synthesize and display all the parameters of air quality. The aim of creating a new device has low-cost, high efficiency, and practical applicability. The device is designed on an Arduino electronic circuit combine with sensors. This device can measure temperature, humidity, PM2.5 dust, CO2 concentration, ... with many applications for air quality management and health protection. From these results, they are shown the characteristic of our surroundings and making our health become better. In the future, we will improve and upgrade this device in the direction of IoT. This important thing can provide data objectively at key locations of Vietnam on smartphones and domain access.

ABSTRACT. A magnetic stirrer is a device used in the laboratory, used for chemical and material experiments, chemical containers of different sizes, there are four types of vials with diameters of 100 mm, 120 mm, 150 mm and 200 mm. Machines on the market have only one heater unit for each type of machine, the 140mm heating plate and the 200mm heating plate are inconvenient to use, requiring two types of machines, and energy loss when using a large heating plate for small chemical jars. Research project on manufacturing magnetic stirrer with two separate heating plates on one heating element, there is a mode to choose the type of bottle to heat properly to save energy during the heating process. The heater is seamlessly molded and individually insulated for each heating plate.

ABSTRACT. Noise cancellation technology is a promising technology aimed at reducing unwanted ambient sound. In this paper, we developed a prototype device using active noise cancellation (ANC) method. This method uses aural overlap and destructive interference to target and attenuates background noise. There are some research groups and carmakers who have successfully built ANC models in cars. However, the cost of these models is very high. The research team will inherit advantages from existing models, thereby designing the ANC system in cars with minimal cost, weight, and energy consumption to reduce the unwanted sounds affecting the driver. The achieved experimental and simulation results with engine noise show the effectiveness of the proposed device.

ABSTRACT. Portable electroencephalogram (EEG) device is considered as the most convenient way of reflecting how mental statement of the object is. The leading model in this field is EPOC+ which is fully supported from Emotiv manufactory by providing two versions of Application Programming Interface (API). In the scope of this paper, These two API combine with three different Integrated Developing Environment (IDE) into four potential methods in retrieving, processing and warming real time EEG band power signal from EPOC+ in the Android smartphone. On the other expectation, this paper involved in evaluating parallel coefficient between this portable equipment and clinical device, which both devices recorded five objects in the same arousal. By calculating Cohen's kappa coefficient which is quite low as expectation ( kappa coefficient between EPOC+ and Nicolet v32 is lower than 0.6), this paper concludes that EPOC+ might be not trustable in clinical diagnosing but it still is valuable in real time processing and daily using.

ABSTRACT. This paper presents autonomous landing system for unmanned air vehicles (UAVs) on a moving target using vision-based algorithm. The moving target is covered by new marker type which is constructed by Aruco board and color region. Visual data is used to extract information about distance and motion estimation between platform and UAVs. These information will be captured by monocular camera and realtime computed by on-board computer equipped on UAVs without any external vision system and prior platform location information. The proposed algorithm provide a solution for navigation problem both indoor and outdoor environments with visual conditions consideration. The obtained results will be provided and validated by comparision with GPS signal

ABSTRACT. Mosquito is an insect that the most harmful to humans all the entire animal in the world. So our purpose is to design a cheap system that applies technology to help protect vulnerable people from the effect of mosquitos, easy to build and deployment without the need to pay a lot of money, also we hope that it provides a new solution for everyone can choose for. Our system divides into 3 main parts: First is the ‘laser wall’, second is the ‘identified and lock-on’ and the third is ‘laser head control moving system’. ‘Laser wall’ is the wall created by using the laser in the fit lightwave and power to prevent the mosquito from passing. This is the first layer of protection. If the mosquito passes the first layer it encounters the second layer. This layer includes two-part ‘identified and lock-on’ the mosquito while ‘laser head control moving system’ moving the laser head to the correct position and shoot, instantly kill the mosquito with the high power laser beam. This system protects an area where the user wants in which no harm to people, animals. It can be deployed in some special place than that of a normal method.

ABSTRACT. A well-balanced high-order scheme for shallow water equations with variable topography and temperature gradient is constructed. This scheme is of van Leer-type and is based on exact Riemann solvers. The scheme is shown to be well-balanced as it can capture almost exactly stationary waves. Numerical tests show that the scheme gives a much better accuracy than the Godunov-type scheme and can work well even in the resonant regime. Wave interaction problems are also tested where the scheme possesses a good accuracy. It turns out that the superbee limiter can provide us with more accurate approximations than van Leer's limiter.

ABSTRACT. We study variational approximations of a dual pair of mathematical programming problems in terms of epi/hypo-convergence and inside epi/hypo-convergence of approximating Lagrange functions of the pair. First, the Painlev\'{e}-Kuratowski convergence of approximate saddle points of approximating Lagrange functions is established under the inside epi/hypo-convergence of these approximating Lagrange functions or under types of inside convergence directly of the data of problems. From this, we obtain a couple of solutions of the pair of problems and a strong duality. Under a stronger variational convergence called ancillary tight epi/hypo-convergence, we obtain the Painlev\'{e}-Kuratowski convergence of approximate minsup-points and approximate maxinf-points of approximating Lagrange functions (when approximate saddle points are not necessary to exist).

ABSTRACT. In this paper, we first provide some results on first and second order analysis to a circular cone complementary set $\Gamma$. In this way, we obtain a parabolical regularity of $\Gamma$ as well as an exact computation for second epi-derivative of the indicator function to $\Gamma$. We then establish first and second order optimality conditions for a mathematical programming problem involving a circular cone complementary constraint under the validation of metric subregularity and second order tangent constraint qualification. Our results are sharpened in comparison with some existing ones in the literature.

ABSTRACT. Let A be a linear, closed, densely defined unbounded operator in a Hilbert space. Assume that A is not boundedly invertible. This may happen if the null space is not trivial, i.e., is not injective, or if is injective but is unbounded, i.e., the range of is not closed. If Equation (1) is solvable, and , then the following results are provided: Problem has a unique global minimizer for any , . There is a function , such that , where y is the unique minimal-norm solution to (1). In this paper a priori and a posteriori choices of are given. Dynamical Systems Method is justified for Eq. (1).

ABSTRACT. Casio fx-580VN X is developed and provided in Vietnam market in April, 2018. Up to now, it is the newest version of Casio which has many good functions comparing with many different old versions in Vietnam. In this paper, we introduce and develop some new algorithms on the Casio fx-580VN X to solve some types of mathematical elementary exercises in high school or univeristy. First of all, we present some new algorithms which use function of table calculation on Casio fx-580VN X to solve some types of mathematical analysis and arithmetic exercises. Finally, we present some applications of calculator algorithms in solving some types of practical elementary mathematics exercises in high school and in university. By using these algorithms to solve mathematical exercises, students and teachers are supported to save time and contribute to enhance their calculating effectiveness. Furthermore, the obtained results also have pedagogical significance, that is, high school mathematics teachers need to know these mentioned algorithms to avoid some tests having fast algorithms that students need not pay much attention to mathematical knowledge therein. Therefore, the most important contribution of the obtained results is to help the mathematics teachers update new calculator knowledge for their suitable student’s tests.

ABSTRACT. Gliomas (GLMs) are the most common primary brain neoplasm with distinct degrees of aggressiveness, variable prognosis. Besides accurate and robust tumor segmentation and classification of tumors, prediction of patients' overall survival is important for diagnosis, treatment planning, and risk factor identification. This study conducted the tumor grade patient's overall survival prediction based on feature extraction from segmented tumor regions of MRI images (provided by the BRATS 2019 challenge) by the Multilayer Perceptron model combined with recursive feature elimination (RFE) to select potent features. Finally, a random forest model is trained to predict the overall survival of patients. The dataset is labeled into three classes of survivors: short-term (<300 days), mid-term (>=300 days and <=450 days), and long-term (>450 days). The proposed approach uses fewer features (41 features) but improved accuracy. The accuracy of the model for the test set is 74% grade survival prediction.

ABSTRACT. Nowadays, applications like Web app and Mobile app have been really useful in Medical Field, typically in Medical Image Processing. These apps help doctors and medical experts diagnose and treat diseases more easily and accurately, especially cancer. Fighting cancer is one of the most important medical tasks and we need assistance from Information Technology to do that. In this paper, we present our Web App which can show, preprocess DICOM files, and segment, classify brain tumors. This App can help users save time and increase accuracy in the diagnostic process. It includes image preprocessing tools such as denoising and improving contrast tools, canny edge detection, and drawing tools to segment tumors. Tumor classification is performed automatically using morphological features (Area, Perimeter, Circularity, Compactness and Elliptical Fourier Analysis) and Gray Level Co-occurrence Matrix (GLCM) to distinguish between high-grade gliomas (HGGs) and lower-grade gliomas (LGGs) of MRI brain images. The classification model we used in this research is Multilayer Perceptron (MLP) and the dataset from BRATS 2019.

ABSTRACT. In modern life, nutrition and food safety are issues related to the standard of life. Pork is a popular food in VietNam with a high rate of consumption, thus the evaluation of the quality and the freshness of food is critical. Electric impedance spectroscopy (EIS) is an appreciated approach at present for the assessment of food quality thank for highlight properties: fast, nondestructive, easily implemented, inexpensive. Considering the demand for the device which can value pork quality quickly, this research evaluates the freshness of pork by EIS method, using simulation and experimental measurement. Simulation of the interaction of pork tissue and an electric field is carried out via the Comsol Multiphysics program based finite element method. Moreover, the electrical properties of pork are also examined with a 5 to 70 kHz frequency bioimpedance analysis device, using the AD5933 chip. The simulation shows 2 results: impedance of pork decreases during storage; whereas it increases during the increase of electrodes distance. In addition, experimental measurement gives 5 results: firstly, there is a downward trend of the impedance of pork tissue during storage. Secondly, transverse direction impedance is more dependent on frequency than the longitudinal one. Thirdly, impedance witnesses an upward trend while the distance of electrodes rises. Fourthly, there is a contract of the Cole-Cole diagram during storage. Fifthly, it experiences an upward trend of phase angle during storage. Results from this research strengthen the ability of the EIS method to assess pork freshness. Moreover, these results are groundward for following researches into an effective device for pork quality evaluation.

ABSTRACT. Studies of otitis media (OM) pathology indicate that most of the clinical symptoms of its appear on the tympanic membrane (TM). There have been many studies published methods to segment the TM. However, the results were not high due to the influence of biological objects on the TM. In this study, we propose a method to support the TM segmentation from the surrounding tissue region based on multi-wavelength imaging technology. The obtained result is quite high when using the red image in combination with the median filter with an accuracy of more than 87%. This result opens up a new direction in combining multi-wavelength images to segment the eardrum and automatically diagnose middle ear infections.

ABSTRACT. Feature extraction in the processing of EEG signals is required for the input block of machine learning algorithms. After signal pre-processing, this study was conducted by automatically analyzing data layers based on the principle of extracting basic signal features, there by converting them into the input of the processing block for machine learning algorithms. This study is based on the Fast Fourier Transform (FFT) algorithm to extract EEG signal features. The extracted features can be mentioned as frequency, energy, power ratio, energy density, power spectral density. The next step is to use features post-extraction data as input in the automatic classification function block using machine learning algorithms. The extracted features will be put into machine learning blocks with Support Vector Machine (SVM). The classification result of two different sleep and emotion stages in this study achieved 82% accuracy and sensitivity.

ABSTRACT. This paper aims to model the effect of the inclusion aspect ratio on the homogenized viscoelastic properties of particulate media made of a viscoelastic matrix and spheroidal elastic particles. The viscoelastic behavior of the matrix phase is modeled by the Generalized Maxwell rheology. The effective properties are firstly derived by combining the homogenization theory of elasticity and the correspondence principle. Then the effective rheological properties in time-space are explicitly derived without using the complex inverse Laplace-Carson transformation (LC). Closed-form solutions for the effective bulk and shear rheological viscoelastic properties, the relaxation and creep moduli, as well as the Poisson ratio, are obtained for the isotropic case with random orientation distribution of the spheroidal inclusions. The developed approach is validated against the exact solutions obtained by the classical inverse LC method. It is observed that the homogenized viscoelastic moduli are strongly sensitive to the aspect ratio of the inclusions.

ABSTRACT. Pervious/porous material is composed of a solid structure that is continuously arranged in an orderly or random way, forming a framework and between them exists empty spaces called pores filled with fluid (liquid, gas). One of the important applications of porous materials in the construction industry is high porous concrete that used to make surface pavement with natural water permeation capacity. This solution is called Sustainable Drainage Systems (SUDS). In this paper, a novel micromechanical model is developed to predict the relationship between the porosity and the strength of the previous concrete materials. Based on the three-phase composite sphere assemblage model with coated pore-concrete inclusions embedded in a fictitious effective medium, the strain, stress mean fields and the effective properties of material are constructed. Moreover, illustrative applications are reported by comparing the theoretical predictions with the previous experimental review to show pertinence of model. According to the obtained results, it can be concluded that due to the additional information on the maximum porosity and elastic modulus of the material, the new approximation model is better suited to experimental results than some of the published analytical models, which demonstrates the effectiveness of this research approach.

ABSTRACT. In the MPM algorithm, all the particles are in a single-valued velocity field hence the non-slip contact can be satisfied without any contact treatment. However, in some impact and penetration problems, the non-slip contact condition is not appropriate, so it is important to overcome this drawback by using a contact algorithm in the MPM. In this paper, the variation of contact force caused by impact is investigated. To overcome the cell-crossing error, the B-spline basis functions are used in this study. The results obtained from this study are validated with finite element results and performs an excellent agreement.

ABSTRACT. This study aims at programming in order to analyze the fracture behaviour of a plate structure containing initial crack via Extended Finite Element Method (XFEM). With the application of enrichment function, this allows us to reduce re-meshing and to obtain higher accurate results in stress and displacement fields at crack tip. XFEM produces high effectiveness in accurately simulating the crack propagation of plate structures without increasing the number of equations and the complexity of calculating procedure. To examine the reliability of the program, the simulation results will be compared to the published results.

ABSTRACT. The hyper-elastic materials is highly applicable in science and technical. Moreover, the interaction of many hyper-elastic objects is very complicated. So, a nonlinear finite element approach is given in this study for the numerical treatment of contact problems in hyper-elastic model. In the problems, not only the geometrical and material nonlinear but also the nonlinear contact are considered. Furthermore, interface law is taken into account for the tangential and normal stress components in the contact area. Thus the standard discretization schemes will be discussed even so ways to search for contact in case of large deformations. In this study, contact problems with hyper-elastic materials are considered in cases of frictionless sliding and frictionless compressing and the obtained results are verified with the solution given by commercial program.