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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2016014435
pages 25-43

ON TWO-SCALE ANALYSIS OF HETEROGENEOUS MATERIALS BY MEANS OF THE MESHLESS FINITE DIFFERENCE METHOD

Irena Jaworska
Institute for Computational Civil Engineering, Cracow University of Technology, Warszawska 24, 31-155 Cracow, Poland
Sławomir Milewski
Institute for Computational Civil Engineering, Cracow University of Technology, Warszawska 24, 31-155 Cracow, Poland

ABSTRACT

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.


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