Existence of long‐time solutions to dynamic problems of viscoelasticity with rate‐and‐state friction [PDF]
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 99, Issue 11, November 2019., 2019 We establish existence of global solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate‐and‐state friction.
Pipping, Elias
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A dynamic electroviscoelastic problem with thermal effects [PDF]
, 2021 We consider a mathematical model which describes the dynamic process of contact between a piezoelectric body and an electrically conductive foundation. We model the material’s behavior with a nonlinear electro-viscoelastic constitutive law with thermal ...
LEBRI, Nemira, SMATA, Sihem
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A dynamic problem with wear involving electro-elastic-viscoplastic materials with damage [PDF]
, 2022 A dynamic contact problem is considered in the paper. The material behavior is described by electro-elastic-viscoplastic law with piezoelectric effects. The body is in contact with damage and an obstacle.
BACHMAR, Aziza, BOUTECHEBAK , Souraya
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Analysis of quasistatic viscoelastic viscoplastic piezoelectric contact problem with friction and adhesion [PDF]
, 2022 In this paper we study the process of bilateral contact with adhesion and friction between a piezoelectric body and an insulator obstacle, the so-called foundation.
CHOUGUI, Nadhir
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Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics [PDF]
, 2019 In this paper an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method.
Migorski, Stanislaw, Zeng, Shengda
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Convergence Results for Elliptic Variational-Hemivariational Inequalities
Advances in Nonlinear Analysis, 2020 We consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling +2 more
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A nonsmooth optimization approach for hemivariational inequalities with applications to contact mechanics [PDF]
, 2021 In this paper we introduce an abstract nonsmooth optimization problem and prove existence and uniqueness of its solution. We present a numerical scheme to approximate this solution.
Jureczka, Michał, Ochal, Anna
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Tippe Top Equations and Equations for the Related Mechanical Systems [PDF]
, 2012 The equations of motion for the rolling and gliding Tippe Top (TT) are nonintegrable and difficult to analyze. The only existing arguments about TT inversion are based on analysis of stability of asymptotic solutions and the LaSalle type theorem. They do
Rutstam, Nils
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On the genesis of directional friction through bristle-like mediating elements [PDF]
, 2016 We propose an explanation of the genesis of directional dry friction, as emergent property of the oscillations produced in a bristle-like mediating element by the interaction with microscale fluctuations on the surface.
DeSimone, Antonio, Gidoni, Paolo
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Analysis of the modified mass method for the dynamic Signorini problem with Coulomb friction [PDF]
, 2011 International audienceThe aim of the present work is to analyze the modified mass method for the dynamic Signorini problem with Coulomb friction. We prove that the space semi-discrete problem is equivalent to an upper semi-continuous one-sided Lipschitz ...
Doyen, David, Ern, Alexandre
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