6533b856fe1ef96bd12b24e7

RESEARCH PRODUCT

A Boundary/Interior Element Discretization Method for the Analysis of Two- and Three-Dimensional Elastic-Plastic Structures

Heiko AndräC. PolizzottoEckart Schnack

subject

DiscretizationMathematical analysisAnalytic element methodBoundary (topology)Method of fundamental solutionsBoundary knot methodSingular boundary methodBoundary element methodDomain (mathematical analysis)Mathematics

description

A coupled boundary/interior element method is presented for the analysis of elastic-plastic structures with material models endowed of dual internal variables. The domain field modelling is limited to the only plastic strains and strain-like internal variables, represented by their node values at a set of strain points in each interior element. The formulation, based on a Galerkin-type approach, is variationally consistent and leads to a fully symmetric-definite equation system. The backward difference method is adopted for the step-by-step integration procedure, and each step is addressed by an iterative predictor/corrector solution scheme. The analysis method is expected to be most appropriate and effective for a large class of engineering problems for which an accurate description of the stress in all, or part of, the domain is paramount.

yearjournalcountryeditionlanguage
1992-01-01
https://doi.org/10.1007/978-3-642-84833-9_41