On the work theorems for finite and incremental elastic deformations with discontinuous fields: A unified treatment of different versions

DOI10.1016/0045-7825(83)90156-1zbMath0487.73095OpenAlexW1990410047MaRDI QIDQ1165660

Hans Bufler

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90156-1

zbMATH Keywords

hyperelastic bodyvirtual forcesprinciples of virtual displacementsgeneralized variational principlescomplementary extremum principlesapplied to incremental equationsconservative loadingdeformation quantitiesmaterial independent work theoremsPiola's, Kirchhoff's or Biot's stressesstatical and kinematical relationsthree different versionsunified abstract formulation of basic equations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Variational principles of physics (49S05)

Related Items

Some aspects of the variational principles problem in elasticity, The generalized (nonlinear) Poisson problem: A dual variational approach, Mixed finite element with drilling rotations for plane problems in finite elasticity, Quadratic-stretch elasticity

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