Meshless local integral equation method for two-dimensional nonlocal elastodynamic problems

10th International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes

Huang, X.J.^1 ; Wen, P.H.^1

School of Engineering and Material Science, Queen Mary University of London, London

E1 4NS, United Kingdom^1

关键词: Boundary domains;    Divergence theorem;    Elastodynamic problem;    Governing equations;    Local integral equations;    Mechanical problems;    Radial Basis Function(RBF);    Time-domain technique;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/734/3/032131/pdf
DOI  :  10.1088/1742-6596/734/3/032131

来源: IOP

【 摘 要 】

This paper presents the meshless local integral equation method (LIEM) for nonlocal analyses of two-dimensional dynamic problems based on the Eringen's model. A unit test function is used in the local weak-form of the governing equation and by applying the divergence theorem to the weak-form, local boundary-domain integral equations are derived. Radial Basis Function (RBF) approximations are utilized for implementation of displacements. The Newmark method is employed to carry out the time marching approximation. Two numerical examples are presented to demonstrate the application of time domain technique to deal with nonlocal elastodynamic mechanical problems.