6533b831fe1ef96bd129980f

RESEARCH PRODUCT

A Variational Formulation of the BEM for Elastic-Plastic Analysis

C. PolizzottoM. Zito

subject

SequenceDiscretizationMathematical analysisBoundary (topology)Algebraic numberBoundary element methodDomain (mathematical analysis)Symmetry (physics)MathematicsSign (mathematics)

description

The quasi-static elastic perfectly plastic analysis problem is approached by the boundary element method (BEM). To this purpose, a time semidiscretization is first achieved by finite intervals (Fl) in order to transform, through a variationally consistent procedure, the evolutive problem into a discrete sequence of inelastic holonomic-type “weighted” problems for each of which a mixed boundary/domain min-max principle is established. This principle is then discretized by means of boundary elements (BE) and cell elements (CE), the latter having the only purpose of suitably interpolating the FI weighted yielding laws within the domain. The algebraic governing equations obtained show symmetry and sign definiteness. Double integrations are needed.

yearjournalcountryeditionlanguage
1990-01-01
https://doi.org/10.1007/978-3-642-49373-7_19