Material homogenization technique for composites: A meshless formulation

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Rodrigues, DES (Author) Other; Belinha, J (Author) Other; F.M. Andrade Pires (Author) FEUP; Dinis, LMJS (Author) Other; Renato Natal Jorge (Author) FEUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: Science and Technology of Materials

Vol. 30

Pages: 50-59

ISSN: 2603-6363

Indexing

Scopus - 3 Citations

Other information

Authenticus ID: P-00P-EDW

DOI: 10.1016/j.stmat.2018.01.001

Abstract (EN): The analysis of the structural behaviour of heterogeneous materials is a topic of research in the engineering field. Some heterogeneous materials have a macro-scale behaviour that cannot be predicted without considering the complex processes that occur in lower dimensional scales. Therefore, multi-scale approaches are often proposed in the literature to better predict the homogeneous mechanical properties of these materials. This work uses a multi-scale numerical transition technique, suitable for simulating heterogeneous materials, and combines it with a meshless method ¿ the Radial Point Interpolation Method (RPIM) [1]. Meshless methods only require an unstructured nodal distribution to discretize the problem domain. In the case of the RPIM, the numerical integration of the integro-differential equation from the Galerkin weak form is performed using a background integration mesh. The nodal connectivity is enforced by the overlap of influence-domains defined in each integration point. In this work, using a plane-strain formulation, representative volume elements (RVE) are modelled and periodic boundary conditions are imposed on them. A computational homogenization is implemented and effective elastic properties of a composite material are determined. In the end, the solutions obtained using the RPIM and also a lower-order Finite Element Method are compared with the ones provided in literature. © 2018 Sociedade Portuguesa de Materiais (SPM)

Language: English

Type (Professor's evaluation): Scientific