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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…
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Keywords:
layer;
contact problem;
graded layer;
discontinuous contact ... See more keywords
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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…
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Keywords:
problem;
elastic half;
punch elastic;
inverse problem ... See more keywords
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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.…
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Keywords:
hemivariational inequality;
contact problem;
electro elastic;
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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…
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Keywords:
contact;
couple stress;
hertz contact;
stress elasticity ... See more keywords
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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…
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Keywords:
plane;
contact;
surface;
surface effect ... See more keywords
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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…
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Keywords:
transient planar;
contact problem;
slip;
friction ... See more keywords
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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…
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Keywords:
problem involving;
problem;
analysis contact;
involving thermoelastic ... See more keywords
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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…
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Keywords:
contact problem;
control;
problem prove;
problem ... See more keywords
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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…
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Keywords:
problem normal;
discontinuous galerkin;
contact problem;
frictional contact ... See more keywords
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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…
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Keywords:
contact problem;
problem cracked;
cracked body;
boundary integral ... See more keywords
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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…
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Keywords:
energy;
contact;
contact problem;
non convex ... See more keywords