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CivilComp Proceedings
ISSN 17593433 CCP: 90
PROCEEDINGS OF THE FIRST INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED AND GRID COMPUTING FOR ENGINEERING Edited by:
Paper 39
OpenMP Parallel Computing using the Material Point Method Z. Wieckowski
Chair of Mechanics of Materials, Technical University of Lódz, Poland Z. Wieckowski, "OpenMP Parallel Computing using the Material Point Method", in , (Editors), "Proceedings of the First International Conference on Parallel, Distributed and Grid Computing for Engineering", CivilComp Press, Stirlingshire, UK, Paper 39, 2009. doi:10.4203/ccp.90.39
Keywords: material point method, arbitrary LagrangianEulerian formulation, granular flow, plastic forming, parallel processing, OpenMP.
Summary
The material point method (MPM) is a computational approach which is
an efficient tool of analysis of problems of solid mechanics with
large strains, [1,2]. Two kinds of
space discretisation are used in the method: the Lagrangian and
Eulerian ones. Beside the division of the region representing an
analysed body into a set of subregions, a computational finite element
mesh, covering the virtual position of the body, is introduced.
Each subregion is represented by one of its points called a material
point. The motion of the material points is traced together with the
values of state variables using the interpolation functions and their
derivatives defined by the use of the computational mesh which can
remain constant or be changed during the computations. As the
computational mesh can be defined in an arbitrary way, the problem of
element distortions, which appears in the purely Lagrangian
formulation of the finite element method, is avoided. The material
point method can be regarded as the finite element method formulated
in an arbitrary LagrangianEulerian description of motion. Due to
its features, the method is wellsuited for modelling the large strain
engineering problems like granular flow and plastic forming problems
[2].
The analyses of dynamic, large strain problems, to which the material point method can be applied, are time consuming. Therefore, there is a need to use parallel computations for such tasks. A parallelism technique used in the present paper is based on the OpenMP programming model [3,4]. As, in many cases, OpenMP may require only small modifications of the serial code, it is very attractive especially due to the fact that, at present, PC computers and notebooks allow the use of multicore and hyper threading technologies. In the present paper, a part of the existing finite element program related to the material point analysis has been parallelised using looplevel parallelism in the following procedures:
The parallelised version of MPM has been utilised for problems of granular flow and plastic forming problems. Using a four processor computer, the speedup factor of up to 2.6 has been obtained in the calculations. References
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