6533b7d1fe1ef96bd125c04d

RESEARCH PRODUCT

A Variationally Consistent Time Modelling of Elastic-Plastic Constitutive Equations

G. BorinoC. Polizzotto

subject

SequenceDiscretizationVariational principleMathematical analysisConstitutive equationBoundary value problemPlasticitySpace (mathematics)Finite element methodMathematics

description

A general energy-based time discretization method for evolutive analysis is presented. Most known time integration procedures (mid-point rule, backward difference, etc.) are shown to be particular cases of it. For space continuous systems, a sequence of weighted boundary value problems of deformation-theory plasticity are obtained, each characterizable by a number of variational principles useful for finite element discretization.

yearjournalcountryeditionlanguage
1991-01-01
https://doi.org/10.1007/978-94-011-3644-0_136