SOLUTION OF CONTACT PROBLEM USING `MIXED` MLPG FINITE VOLUME METHOD WITH MLS APPROXIMATIONS

Authors : Cengiz ERDÖNMEZ

Pages : 90-104

View : 15 | Download : 10

Publication Date : 2016-04-24

Article Type : Research Paper

Abstract :Meshless methods are became an alternative to most popular numerical methods used to solve engineering problems such as Finite Difference and Finite Element Methods. Because of element free nature, problems are solved using meshless methods depending on the general geometry and conditions of the problem. Mixed Meshless Local Petrov-Galerkin insert ignore into journalissuearticles values(MLPG); approach is based on writing the local weak forms of PDEs. Moving least squares insert ignore into journalissuearticles values(MLS); is used as the interpolation schemes. In this study contact analysis problem is modelled using Meshless Finite Volume Method insert ignore into journalissuearticles values(MFVM); with MLS interpolation and solved for beam contact problem. Meshless discretization and linear complementary equation of the 2-D frictionless contact problems are described first. Then the problem is converted to a linear complementary problem insert ignore into journalissuearticles values(LCP); and solved using Lemke’s algorithm. An elastic cantilever beam contact to a rigid foundation is considered as an example problem.
Keywords : Mixed Meshless Local Petrov Galerkin, Moving least squares, Meshless Finite Volume Method, Linear Complimentary Problem, Cantilever beam contact