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Article
Convergence analysis for elliptic quasivariational inequalities
We deal with a class of elliptic quasivariational inequalities with constraints in a reflexive Banach space. We use arguments of monotonicity, convexity and compactness in order to prove a convergence criterio...
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Article
Open AccessUnified primal-dual active set method for dynamic frictional contact problems
In this paper, we propose a semi-smooth Newton method and a primal-dual active set strategy to solve dynamical contact problems with friction. The conditions of contact with Coulomb’s friction can be formulate...
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Chapter
A Variational-Hemivariational Inequality in Contact Mechanics
This chapter deals with a new mathematical model for the frictional contact between an elastic body and a rigid foundation covered by a deformable layer made of soft material. We study the model in the form of...
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Article
Numerical solution of a contact problem with unilateral constraint and history-dependent penetration
A numerical method is presented for a mathematical model which describes the frictionless contact between a viscoplastic body and an obstacle, the so-called foundation. The process is quasistatic, and the cont...
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Chapter and Conference Paper
A Contact Problem with Normal Compliance, Finite Penetration and Nonmonotone Slip Dependent Friction
In this work, we consider a static frictional contact problem between a linearly elastic body and an obstacle, the so-called foundation. This contact is described by a normal compliance condition of such a typ...
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Chapter
A Hyperelastic Dynamic Frictional Contact Model with Energy-Consistent Properties
In this chapter we present an energy-consistent numerical model for the dynamic frictional contact between a hyperlastic body and a foundation. Our contribution has two traits of novelty. The first one arises ...
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Chapter
Modelling of Piezoelectric Contact Problems
We consider a mathematical model which describes the frictional contact between an electro-viscoelastic body and a conductive foundation. The process is dynamic and the contact is modelled with normal complian...
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Chapter and Conference Paper
An Adapted Coarse Space for Balancing Domain Decomposition Methods in Nonlinear Elastodynamics
This work is devoted to a scalable domain decomposition method to solve nonlinear elastodynamic problems. Large nonlinear elastodynamic problems represent an appropriate application field for substructuring me...
