Ram Maheshwari Logo Image
Polina Tanasevich

Patent

Program for numerical evaluation of effective properties

Abstract

The program implements a numerical assessment of the effective elastic-plastic characteristics of a heterogeneous material in a two-dimensional case. The effective characteristics are estimated by solving a number of boundary value problems of plasticity theory on a representative area of ​​the material in the form of a rectangle. The boundary value problems are solved numerically, using the finite difference method on a regular grid. An explicit time scheme is used. The transition from a dynamic problem to a static one is implemented using the establishment method. The solution of the static problem (stress tensor) is averaged over the area, after which the effective properties are calculated in the form of bulk compression and shear moduli depending on the level of applied deformations. The solution of static boundary value problems is parallelized on the GPU using CUDA technology.

Tools Used

C++
CAE Fidesys
MatLab
CUDA
Applied Mathematics
Physics (Mechanics)
Scientific Research