Numerical Calculations Models for Physical-Mechanical Systems

On Parallel Computing Algorithms For The Assessment Of Effective Mechanical Properties Of Porous Materials

V. A. Levin^a, K. M. Zingerman^b, Prokopenko Alexey Sergeevich<sup>c

a</sup> Department of Computational Mechanics, Mechanics and Mathematics Faculty M.V. Lomonosov Moscow State University.
^b Tver State University
^c Mechanics and Mathematics Faculty of Moscow State University. M.V. Lomonosov Moscow State University.

Abstract: A method and algorithm for numerical estimation of effective properties of porous materials are described. The materials with statistically homogeneous and isotropic distribution of pores are considered. It is assumed that the effective material is linear elastic, and its properties are described by Hooke's law. The program module is developed on the base of this algorithm. The performance of this module is analyzed, and the optimization is performed by parallelization using CUDA technique. Effective properties of foam concrete are analyzed. Dependence of effective properties on porosity is investigated.

Keywords: theory of elasticity, effective properties, numerical strength analysis, CUDA, GPU, high-performance computations, finite-element method.

UDC: 539.4, 519.6

Received: 10.12.2012
Revised: 20.01.2013