Solvability and optimization for a class of mixed variational problems
, 2019 We consider an abstract mixed variational problem governed by a nonlinear operator $A$ and a bifunctional $J$, in a real reflexive Banach space $X$. The operator $A$ is assumed to be continuous, Lipschitz continuous on each bounded subset of $X,$ and ...
Matei, Andaluzia, Sofonea, Mircea
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On the Tykhonov Well-posedness of an Antiplane Shear Problem
, 2020 We consider a boundary value problem which describes the frictional antiplane shear of an elastic body. The process is static and friction is modeled with a slip-dependent version of Coulomb's law of dry friction.
Sofonea, Mircea, Tarzia, Domingo A.
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A quasistatic frictional contact problem with normal compliance and finite penetration for elastic materials [PDF]
, 2010 We consider a quasistatic unilateral contact problem with finite penetration between an elastic body and an obstacle, say a foundation. The constitutive law is assumed to be nonlinear and the contact is modelled with normal compliance associated to a ...
Arezki Touzaline
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A Convergence Criterion for Elliptic Variational Inequalities
, 2023 We consider an elliptic variational inequality with unilateral constraints in a Hilbert space $X$ which, under appropriate assumptions on the data, has a unique solution $u$.
Gariboldi, Claudia +3 more
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Modeling hydrogen embrittlement for pricing degradation in gas pipelines [PDF]
This paper addresses aspects of the critical challenge of hydrogen embrittlement in the context of Germany's transition to a sustainable, hydrogen-inclusive energy system.
Amer, Zeina +15 more
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Duality Arguments in the Analysis of a Viscoelastic Contact Problem
, 2023 We consider a mathematical model which describes the quasistatic frictionless contact of a viscoelastic body with a rigid-plastic foundation. We describe the mechanical assumptions, list the hypotheses on the data and provide three different variational ...
Bartman, Piotr +2 more
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Steady sliding frictional contact problem for a 2d elastic half-space with a discontinuous friction coefficient and related stress singularities [PDF]
, 2016 International audienceThe steady sliding frictional contact problem between a moving rigid indentor of arbitrary shape and an isotropic homogeneous elastic half-space in plane strain is extensively analysed.
Ballard, Patrick
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Convergence Analysis of Penalty Based Numerical Methods for Constrained Inequality Problems
, 2019 This paper presents a general convergence theory of penalty based numerical methods for elliptic constrained inequality problems, including variational inequalities, hemivariational inequalities, and variational-hemivariational inequalities.
Han, Weimin, Sofonea, Mircea
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Convergence and Optimization Results for a History-dependent Variational Problem
, 2019 We consider a mixed variational problem in real Hilbert spaces, defined on on the unbounded interval of time and governed by a history-dependent operator.
Matei, Andaluzia, Sofonea, Mircea
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Homogenization of contact problem with Coulomb's friction on periodic cracks [PDF]
, 2019 International audienceWe consider the elasticity problem in a domain with contact on multiple periodic open cracks. The contact is described by the Signorini and Coulomb-friction conditions.
Griso, Georges, Orlik, Julia
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