6533b823fe1ef96bd127f4e5

RESEARCH PRODUCT

A Consistent Formulation of the BEM within Elastoplasticity

C. Polizzotto

subject

Work (thermodynamics)DiscretizationBoundary equationApplied mathematicsBoundary (topology)PlasticityBoundary element methodEnergy (signal processing)Mathematics

description

A symmetric-definite BEM formulation is derived by making alternatively use of two energy principles, i.e. the Hellinger-Reissner principle and a boundary min-max principle ad-hoc formulated. Two kinds of discretization are operated, one by boundary elements to model the system elastic properties, another by cell-elements to model the material plastic behavior. The cell yielding laws are expressed in terms of generalized variables and comply with the features of associated plasticity, due to the maximum plastic work theorem used for their derivation.

https://doi.org/10.1007/978-3-642-83003-7_34