A dynamic contact problem with regularized friction law. Application to impact problems
نویسندگان
چکیده
منابع مشابه
Dynamic Contact Problems with Slip-dependent Friction in Viscoelasticity
The dynamic evolution with frictional contact of a viscoelastic body is considered. The assumptions on the functions used in modelling the contact are broad enough to include both the normal compliance and the Tresca models. The friction law uses a friction coefficient which is a non-monotone function of the slip. The existence and uniqueness of the solution are proved in the general three-dime...
متن کاملA Complementarity Problem Approach for Multibody Contact Dynamics with Regularized Friction
Contact modelling, simulation, and analysis of mechanical systems with friction need proper treatments due to the non-smooth nature of the contact phenomenon. Two main approaches to deal with the contact problems are constraint and compliant based formulations [3]. In constraint based approaches, the problem is formulated by imposing the kinematic unilateral constraints between bodies in contac...
متن کاملDiscrete 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 کاملFormulating Dynamic Multi-rigid-body Contact Problems with Friction as Solvable Linear Complementarity Problems
A linear complementarity formulation for dynamic multi-rigid-body contact problems with Coulomb friction is presented. The formulation, based on explicit Euler integration and polygonal approximation of the friction cone, is guaranteed to have a solution for any number of contacts and contact con guration. A model with the same property is formulated for impact problems with friction and nonzer...
متن کاملA class of dynamic contact problems with Coulomb friction in viscoelasticity
The aim of this work is to study a class of nonsmooth dynamic contact problem which model several surface interactions, including relaxed unilateral contact conditions, adhesion and Coulomb friction laws, between two viscoelastic bodies of Kelvin-Voigt type. An abstract formulation which generalizes these problems is considered and the existence of a solution is proved by using Ky Fan’s fixed p...
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: Mathematical and Computer Modelling
سال: 1998
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(98)00109-5