MACRO-MICRO SCALE DYNAMIC ANALYSIS OF 2D POLYCRYSTALLINE MATERIALS USING THE BOUNDARY ELEMENT METHOD

J. E Alvarez¹; A. F Galvis¹; P. Sollero¹

¹ University of Campinas

doi:10.20906/CPS/CILAMCE2017-0088

Resumo

The relevance of a multiscale analysis in polycrystalline materials is due to the change of physical properties of the modeled scale. This work presents a 2D dynamic analysis by bridging macro-micro scales, considering both isotropic and anisotropic properties for the material in different length scales. The Boundary Element Method (BEM) is formulated at macroscale to evaluate the nodal displacement as a consequence of transient loads applied to the surface. Subsequently, a partial region of the largest domain is modeled with internal points to evaluate the microscale analysis. At the smallest size, the Voronoi tessellation algorithm is included to generate random crystalline orientations, while the BEM multi-region methodology is applied by taking into account an anisotropic formulation. Finally, in order to validate the bridging methodology, a numerical example is presented.

Palavras-chave: Polycrystalline Materials; Transient Analysis; Boundary Element Method; Anisotropic and Isotropic formulations