A note on variational theorems in non-linear elastostatics

DOI10.1017/S0305004100051422zbMath0312.73052MaRDI QIDQ4070425

Ray W. Ogden

Publication date: 1975

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (12)

Indeterminacy of first order stress functions and the stress- and rotation-based formulation of linear elasticity ⋮ Unified theory of variation principles in nonlinear theory of elasticity ⋮ Multi-scale modelling and canonical dual finite element method in phase transitions of solids ⋮ Analytical solutions to general anti-plane shear problems in finite elasticity ⋮ Post-buckling solutions of hyper-elastic beam by canonical dual finite element method ⋮ On Chien's question to the Hu-Washizu three-field functional and variational principle ⋮ Error bounds in nonlinear elastostatics ⋮ On dual configurational forces ⋮ On the work theorems for finite and incremental elastic deformations with discontinuous fields: A unified treatment of different versions ⋮ Canonical Duality Theory: Connections between Nonconvex Mechanics and Global Optimization ⋮ Complementary energy principle for large elastic deformation ⋮ Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality

Cites Work

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• New horizons in the mechanics of solids
• A program toward rediscovering the rational mechanics of the age of reason
• On constitutive inequalities for simple materials. I
• A new variational principle for finite elastic displacements
• On dual approximation principles and optimization in continuum mechanics
• On the Principle of Stationary Complementary Energy in the Nonlinear Theory of Elasticity
• On a Variational Theorem for Finite Elastic Deformations

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