6533b852fe1ef96bd12aab4a

RESEARCH PRODUCT

Symmetric BEM Formulations for Elastic-Damage Material Models

C. Polizzotto

subject

DiscretizationStructure (category theory)Applied mathematicsRelaxation (iterative method)Boundary (topology)Damage effectsDomain (mathematical analysis)Mathematics

description

BEM analysis for elastic-damage materials is addressed by “undamaged” fundamental solutions. In step-by-step analysis, the actual response is obtained by an iterative procedure in which the undamaged structure is subjected to the loads and to some fictitious strains (or relaxation stresses) simulating the damage effects. Through symmetric BEM, the solution to the typical iteration problem is shown to solve a boundary/domain stationarity principle, whereas the above iterative procedure can be incorporated in a predictor/corrector scheme aimed at the integration of the damage laws. Discretization by boundary and interior elements leads to a symmetric equation system.

yearjournalcountryeditionlanguage
1997-01-01
https://doi.org/10.1007/978-94-011-5706-3_28