Articles with "contact problem" as a keyword



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Continuous and discontinuous contact problem of a functionally graded layer resting on a rigid foundation

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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
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Contact Problem for a Rigid Punch and an Elastic Half Space as an Inverse Problem

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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
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Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality

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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;
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The Hertz contact problem in couple-stress elasticity

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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
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Surface effect on the contact problem of a piezoelectric half-plane

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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
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On the transient planar contact problem in the presence of dry friction and slip

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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
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Analysis of a contact problem involving thermoelastic mixtures

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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
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Optimal control of a two-dimensional contact problem

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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
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Discontinuous Galerkin Methods for Solving a Frictional Contact Problem with Normal Compliance

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Published in 2018 at "Numerical Functional Analysis and Optimization"

DOI: 10.1080/01630563.2018.1472609

Abstract: Abstract Several discontinuous Galerkin (DG) methods are introduced for solving a frictional contact problem with normal compliance, which is modeled as a quasi-variational inequality. Consistency, boundedness, and stability are established for the DG methods. Two… read more here.

Keywords: problem normal; discontinuous galerkin; contact problem; frictional contact ... See more keywords
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Solution of the elastodynamic contact problem for a cracked body using the boundary integral equation method

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Published in 2019 at "Mechanics of Advanced Materials and Structures"

DOI: 10.1080/15376494.2018.1430279

Abstract: ABSTRACT This paper considers the mathematical formulation of the elastodynamic contact problem for a cracked body. The contact interaction of the crack edges in 2D is studied for the case of normal incidence of a… read more here.

Keywords: contact problem; problem cracked; cracked body; boundary integral ... See more keywords
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Analysis of a dynamic frictional contact problem for hyperviscoelastic material with non-convex energy density

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Published in 2018 at "Mathematics and Mechanics of Solids"

DOI: 10.1177/1081286517718604

Abstract: Using the time approximation method we obtain the existence of a weak solution for the dynamic contact problem with damping and a non-convex stored elastic energy function. On the contact boundary we assume the normal… read more here.

Keywords: energy; contact; contact problem; non convex ... See more keywords