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Analysis and numerical simulation of frictionless contact problem with normal compliance in thermo-viscoelasticity
This article is concerned with the existence and uniqueness of results and the numerical modeling of a frictionless contact problem between a...
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Optimizing Control for a Piezo-Viscoelastic Contact Challenge Involving Normal Compliance and Coulomb’s Friction
The objective of this paper is to investigate an optimal control problem related to a frictional contact problem involving a piezo-viscoelastic body...
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A Frictional Dynamic Thermal Contact Problem with Normal Compliance and Damage
We study a class of non-clamped dynamical problems for visco-elastic materials, the contact condition is modeled by a normal compliance, with...
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Conditions for the Parallelism of the Normal Curvature Tensor of Submanifolds
In this paper, sufficient conditions for the parallelism of the normal curvature tensor of submanifolds in spaces of constant curvature are obtained.
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Error analysis of the compliance model for the Signorini problem
The present paper is concerned with a class of penalized Signorini problems also called normal compliance models. These nonlinear models approximate...
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Axisymmetric Thermoelastic Deformation of a Multilayer Foundation with Imperfect Thermal Contact of the Layers
An axisymmetric stationary problem of thermoelasticity for a multilayer foundation with imperfect thermal contact between the layers is solved by the...
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Variational Analysis of a Dynamic Thermoviscoelastic Unilateral Contact Problem with Normal Damped Response and Friction
In this paper, we study a mathematical model that describes the dynamic frictional contact between the thermoviscoelastic body and the foundation....
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Dynamic Contact Problem with Normal Damped Response, Friction and Adhesion
This work considers a mathematical model describing a dynamic frictional contact between a viscoelastic body and an adhesive foundation. The contact...
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Existence and numerical approximation of a solution to frictional contact problem for electro-elastic materials
In this paper, a frictional contact problem between an electro-elastic body and an electrically conductive foundation is studied. The contact is...
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Discontinuous Galerkin Methods for Hemivariational Inequalities in Contact Mechanics
In this paper, we study discontinuous Galerkin (DG) methods for solving two contact problems. The first problem involves a frictionless normal...
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Non-intrusive polynomial chaos expansion for robust topology optimization of truss-like continuum under random loads
This paper dedicates to presenting an uncertainty analysis framework for robust topology optimization (RTO) based on truss-like material model that...
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Coulomb Friction
This chapter is about the Coulomb frictional contact model. As we have already seen for Tresca friction, when taking into account friction in...
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A thermoviscoelastic contact problem with friction, damage and wear diffusion
In this paper we present a model for quasistatic frictional contact between a thermoviscoelastic body and a moving foundation that involves wear of...
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Topology optimization of truss-like structures with bidirectional non-orthogonal materials based on mathematical programming
Topology optimization of structures composed of truss-like members has been shown to produce results that are very close to the theoretical solution....
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The (human) respiratory rate at rest
All schoolchildren know how often they breathe, but even experts don’t know exactly why. The aim of this publication is to develop a model of the...
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Optimal design of Kirchhoff–Love plates under the low contrast assumption
A method for the optimization of the distribution of two materials in a thin symmetric plate is presented. The model for the plate is the...
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Modeling of Deformable Thermoelastic Thread-Like Inclusions in Isotropic Media
By using the principle of coupling of continua of different dimensions, we propose an approach to the mathematical modeling of deformable thread-like...
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A frictional contact problem with adhesion for viscoelastic materials with long memory
We consider a quasistatic contact problem between a viscoelastic material with long-term memory and a foundation. The contact is modelled with a...
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A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality
We study a priori error estimates of discontinuous Galerkin (DG) methods for solving a quasi-variational inequality, which models a frictional...
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Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures
We consider an optimization problem for the eigenvalues of a multi-material elastic structure that was previously introduced by Garcke et al....
