Multiscale Interpretation Of Contact Problems
Author(s)
P. Brož
Abstract
Analysis of interactions between discrete and granular media demands larger
computational mines. It is advantageous to employ for discrete systems with
diffuse non-smoothness a domain-decomposition-like method. Concurrently, the
numerical strategy is enriched by means of multiscale methodology to heal
differences between discrete and continuum versions. To assess the said
techniques, the balance of a tensegrity construction is selected. To express an
idea of representative elements respective to the continuous medium
homogenized variables are introduced.
The late developments in the numerical interpretation of large multicontact
problems demand multiprocessor computers to obtain allowable computer time
modellings. Contact stipulations result in non smooth mathematical formulations
of steady-state and dynamical problems appearing from structural and granular
mechanics. The examples of solvers as the Non Linear Gauss Seidel algorithm
and the Conjugate Projected Gradient method were developed adaptable to a
parallel treatment. The domain decomposition procedures permit one to go into
large-scale mechanical problems, and their effectivity was demonstrated for
linear tasks.
Keywords: beam, cable, granule, homogenization, non-smoothness, space frame,
surface and volume representative elements.
1 Introduction
If variables in mechanical problems are independent between them, an easy
distribution of the computations on different processors is effective; that implies
that the problem is simply divided into many independent subproblems. The
transition from large scale contact formulations to multilevel ones seems to be
Keywords
beam, cable, granule, homogenization, non-smoothness, space frame,
surface and volume representative elements
Related Book
Other papers in this volume
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