6533b826fe1ef96bd12844d3

RESEARCH PRODUCT

Boundary/Field Variational Principles for the Elastic Plastic Rate Problem

Castrenze PolizzottoM. ZitoT. Panzeca

subject

Field (physics)Variational principleInfinitesimalMathematical analysisBoundary (topology)Solid bodyIntegral equationBoundary element methodVariable (mathematics)Mathematics

description

An elastic-plastic continuous solid body under quasi-statically variable external actions is herein addressed in the hypoteses of rate-independent material model with dual internal variables and of infinitesimal displacements and strains. The related analysis problem for assigned rate actions is first formulated through a boundary/field integral equation approach, then is shown to be characterized by two variational principles, one of which is a stationarity theorem, the other a min-max one.

yearjournalcountryeditionlanguage
1991-01-01
https://doi.org/10.1007/978-3-642-85463-7_41