Unilateral contact problems with a friction
نویسندگان
چکیده
منابع مشابه
Discrete Contact Problems with Coulomb Friction
The paper deals with a discrete model of a two-dimensional Signorini problem with Coulomb friction and a coefficient of friction F depending on the spatial variable. It is shown that a solution exists for any F and is unique if F is sufficiently small. We also prove that this unique solution is a Lipschitz continuous function of F . Numerical realization is done by the piecewise smooth Newton m...
متن کاملPENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH COULOMB’S FRICTION FOR LOCKING MATERIAL
In this work, we study a unilateral contact problem with non local friction of Coulombbetween a locking material and a rigid foundation. In the first step , we present the mathematicalmodel for a static process, we establish the variational formulation in the form of a variationalinequality and we prove the existence and uniqueness of the solution. In the second step, usingthe penalty method we...
متن کاملMechanical design problems with unilateral contact
We formulate two problems of optimal design for mechanical structures in unilatéral contact the truss topology problem and the matenal design problem for elastic bodies In both cases we consider gênerai multi-load formulations, wherefor each load-case we may have different set of contact constraints (ngid obstacles) We show that both problems (after discretizatwn of the latter one) can be rewri...
متن کاملA domain decomposition algorithm for contact problems with Coulomb’s friction
Contact problems of elasticity are used in many fields of science and engineering, especially in structural mechanics, geology and biomecanics. Many numerical procedures solving contact problems have been proposed in the engineering literature. They are based on standard discretization techniques for partial differential equations in combination with a special implementation of non-linear conta...
متن کاملShape Optimization in Contact Problems with Coulomb Friction and a Solution-Dependent Friction Coefficient
The present paper deals with shape optimization in discretized two-dimensional (2D) contact problems with Coulomb friction, where the coefficient of friction is assumed to depend on the unknown solution. Discretization of the continuous state problem leads to a system of finite-dimensional implicit variational inequalities, parametrized by the so-called design variable, that determines the shap...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of A. Razmadze Mathematical Institute
سال: 2016
ISSN: 2346-8092
DOI: 10.1016/j.trmi.2016.09.003