Convergence Analysis And EFG Of A Tresca Frictional Contact Problem For Elastic Viscoplastic Material

The element-free Galerkin method(EFG)is a meshless method.This method only needs node information,avoids the construction of complex meshes,and has stable computation and high precision.It is a mainly meshless method.In this paper,the method is applied to solve the quasi-static Tresca frictional contact problem of elastic and elastic-viscoplastic body.The main contents of this paper are as follows1.The second chapter introduces the basic principle of MLS approximation method and its error estimation,and introduces the mathematical model of the elastic quasi-static Tresca frictional contact problem.The time interval is equally divided to obtain the time semi-discrete format,and the MLS approximation scheme for the space to obtain the EFG full discrete format of the problem.The convergence results of the EFG full discrete format are obtained.The numerical calculation framework of the EFG method is constructed,and the convergence results are verified by numerical examples.2.The third chapter introduces the quasi-static Tresca friction contact problem of elastic viscoplastic bodies.The time semi-discrete format is obtained by equally partition of the time interval,and it presented the error estimation of the time semi-discrete format of the elastic viscoplastic Tresca frictional contact model.It constructs the full discrete format of the problem base on the EFG.The convergence of the EFG full discrete format is discussed.The numerical computation framework of the EFG method with penalty parameters is introduced.Finally,numerical examples are implemented.