RT Journal Article ID 529fb2e7677d78a0 A1 Jaworska, Irena A1 Milewski, SÅ‚awomir T1 ON TWO-SCALE ANALYSIS OF HETEROGENEOUS MATERIALS BY MEANS OF THE MESHLESS FINITE DIFFERENCE METHOD JF International Journal for Multiscale Computational Engineering JO JMC YR 2016 FD 2016-08-23 VO 14 IS 2 SP 25 OP 43 K1 meshless methods K1 numerical homogenization K1 MWLS approximation AB The finite element (FE) method is the commonly applied engineering tool for numerical analysis of heterogeneous materials. The FE solution approach is successfully applied at all analysis levels, including the macro (material at large) and the micro (e.g., representative volume element) ones. However, this paper focuses on an alternative, perhaps more effective approach, based upon the meshless discretization and approximation. The aim of this paper is to present the formulation of the numerical homogenization in terms of the meshless finite difference method, as well as the results of the selected two-dimensional linear elasticity examples. Moreover, several benefits of the proposed approach are highlighted, especially toward analysis of more complex engineering problems. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,564adb191f6fe874,529fb2e7677d78a0.html