Examining the contact problem of a functionally graded layer supported by an elastic half‐plane with the analytical and numerical methods
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10129
Abstract: This study offers a comparative study of the analytical and numerical methods for investigating a contact problem. The contact problem comprises a functionally graded layer supported by a half‐plane and loaded with a distributed load… read more here.
Keywords: numerical methods; problem; functionally graded; analytical numerical ... See more keywords
Evaluation of the contact problem of two layers one of functionally graded, loaded by circular rigid block and resting on a Pasternak foundation by analytical and numerical (FEM and MLP) methods
Sign Up to like & getrecommendations! Published in 2025 at "Archive of Applied Mechanics"
DOI: 10.1007/s00419-025-02787-7
Abstract: In this paper, the frictionless contact problem of layers on a Pasternak foundation is addressed using various methods, such as the analytical method, finite element method (FEM), and multilayer perceptron (MLP). The problem consists of… read more here.
Keywords: problem; two layers; pasternak foundation; mlp ... See more keywords
Continuous and discontinuous contact problem of a functionally graded layer resting on a rigid foundation
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mechanica"
DOI: 10.1007/s00707-017-1871-y
Abstract: In this study, the continuous and discontinuous contact problem of a functionally graded (FG) layer resting on a rigid foundation is considered. The top of the FG layer is subjected to normal tractions over a… read more here.
Keywords: layer; contact problem; graded layer; discontinuous contact ... See more keywords
Contact Problem for a Rigid Punch and an Elastic Half Space as an Inverse Problem
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04346-2
Abstract: We solve a contact problem of indentation of a punch into an elastic half space with regard for the friction and in the presence of the zones of adhesion, sliding, and separation. The applied approach… read more here.
Keywords: problem; elastic half; punch elastic; inverse problem ... See more keywords
Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality
Sign Up to like & getrecommendations! Published in 2020 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-020-01305-5
Abstract: In this paper, an electro-elastic frictional contact problem is studied numerically as a hemivariational inequality. Convergence of the Galerkin approximation for the hemivariational inequality is proved, and Cea’s type inequalities are derived for error estimation.… read more here.
Keywords: hemivariational inequality; contact problem; electro elastic;
The Hertz contact problem in couple-stress elasticity
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2019.03.032
Abstract: Abstract The classical three-dimensional Hertz contact problem is re-examined in the present work within the context of couple-stress elasticity. This theory introduces characteristic material length scales that emerge from the underlying microstructure and has proved… read more here.
Keywords: contact; couple stress; hertz contact; stress elasticity ... See more keywords
Surface effect on the contact problem of a piezoelectric half-plane
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2019.07.024
Abstract: Based on the theory of the surface piezoelectricity, the two-dimensional frictionless contact problem of the piezoelectric half-plane under rigid flat and cylindrical punches is investigated in this paper. The Fourier integral transform method is adopted… read more here.
Keywords: plane; contact; surface; surface effect ... See more keywords
On the transient planar contact problem in the presence of dry friction and slip
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2020.02.031
Abstract: Abstract This article models a plane strain dynamic contact problem for an infinite elastic body. Contact is established for x > 0 under the action of a time-dependent remote compressive load, and the system is subjected to… read more here.
Keywords: transient planar; contact problem; slip; friction ... See more keywords
Analysis of a contact problem involving thermoelastic mixtures
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.07.039
Abstract: Abstract In this work we study a dynamic contact problem between a thermoelastic mixture and a deformable obstacle. The classical normal compliance condition is used for modeling the contact. The variational formulation of this problem… read more here.
Keywords: problem involving; problem; analysis contact; involving thermoelastic ... See more keywords
Optimal control of a two-dimensional contact problem
Sign Up to like & getrecommendations! Published in 2018 at "Applicable Analysis"
DOI: 10.1080/00036811.2017.1337895
Abstract: We consider a frictionless contact problem with unilateral constraints for a 2D bar. We describe the problem, then we derive its weak formulation, which is in the form of an elliptic variational inequality of the… read more here.
Keywords: contact problem; control; problem prove; problem ... See more keywords
Optimal control of hemivariational inequalities for thermo-electro-elastic contact problem
Sign Up to like & getrecommendations! Published in 2025 at "Applicable Analysis"
DOI: 10.1080/00036811.2025.2509311
Abstract: This paper seeks to explore optimal control for a thermo-piezoelectric frictional contact problem. The model's variational formulation is constructed by integrating three hemivariational inequalities (HVIs). Recent advances in HVIs theory are utilized to demonstrate both… read more here.
Keywords: hemivariational inequalities; optimal control; contact problem;