Unified theory of variation principles in nonlinear theory of elasticity

DOI10.1007/BF01872624zbMath0612.73016OpenAlexW2032666805MaRDI QIDQ1088437

Zhongheng Guo

Publication date: 1980

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01872624

zbMATH Keywords

principle of virtual workcomplementary energy principleLegendre transformationgeneralized variational principlesclassical potential energy principlecomplementary energy principlesFraeijs de Veubeke principleLevinson principle

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Variational principles of physics (49S05)

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Application of Chien's theorem to general variational principles in finite elasticity with body couple ⋮ The generalized variational principles about blending energy form of nonlinear elasticity ⋮ Variational methods for the problems of nonconservative force fields in the micropolar elastodynamics ⋮ Dynamical equations of various types for finite deformable polar elastic media ⋮ On various variational principles in nonlinear theory of elasticity ⋮ Structure of rod-shell theories in Hilbert space ⋮ Subspace variational principle of rods and shells ⋮ Extended variational principle in nonlinear theory of elasticity

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