Zobrazeno 1 - 10
of 101
pro vyhledávání: '"74M10"'
The aim of this work is to analyse a shape optimization problem in a mechanical friction context. Precisely we perform a shape sensitivity analysis of a Tresca friction problem, that is, a boundary value problem involving the usual linear elasticity
Externí odkaz:
http://arxiv.org/abs/2411.10158
This paper investigates, without any regularization procedure, the sensitivity analysis of a mechanical friction problem involving the (nonsmooth) Tresca friction law in the linear elastic model. To this aim a recent methodology based on advanced too
Externí odkaz:
http://arxiv.org/abs/2410.22356
This paper investigates, without any regularization or penalization procedure, a shape optimization problem involving a simplified friction phenomena modeled by a scalar Tresca friction law. Precisely, using tools from convex and variational analysis
Externí odkaz:
http://arxiv.org/abs/2410.11750
We consider a class of elliptic quasivariational inequalities in a reflexive Banach space $X$ for which we recall a convergence criterion obtained in [10]. Each inequality $\cal P$ in the class is governed by a set of constraints $K$ and has a unique
Externí odkaz:
http://arxiv.org/abs/2409.16031
Publikováno v:
Mathematics 12 (2024), no. 3, Art. 434
We investigate a quasi-static-antiplane contact problem, examining a thermo-electro-visco-elastic material with a friction law dependent on the slip rate, assuming that the foundation is electrically conductive. The mechanical problem is represented
Externí odkaz:
http://arxiv.org/abs/2402.01747
Penalty method for unilateral contact problem with Coulomb's friction in time-fractional derivatives
Autor:
Essafi Lakbir, Bouallala Mustapha
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 103-115 (2024)
The purpose of this work is to study a mathematical model that describes a contact between a deformable body and a rigid foundation. A linear viscoelastic Kelvin-Voigt constitutive law with time-fractional derivatives describes the material’s behav
Externí odkaz:
https://doaj.org/article/9875d186517e4ad684e448e313c6b872
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 $u$. We formulate a convergence criterion to the solution $u$, i.e., we provide
Externí odkaz:
http://arxiv.org/abs/2309.04805
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 variatio
Externí odkaz:
http://arxiv.org/abs/2309.04356
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation, 2023
The purpose of this work is to present an improved energy conservation method for hyperelastodynamic contact problems based on specific normal compliance conditions. In order to determine this Improved Normal Compliance (INC) law, we use a Moreau--Yo
Externí odkaz:
http://arxiv.org/abs/2301.10471
In this paper we present an abstract nonsmooth optimization problem for which we recall existence and uniqueness results. We show a numerical scheme to approximate its solution. The theory is later applied to a sample static contact problem describin
Externí odkaz:
http://arxiv.org/abs/2103.14518