On drilling degrees of freedom in nonlinear elasticity and a hyperelastic material description in terms of the stretch tensor. I: Theory

DOI10.1007/BF01212631zbMath0856.73011MaRDI QIDQ1814894

Hans Bufler

Publication date: 2 March 1997

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

strain energy densityCauchy-Green deformation tensorgeneralized variational principlesquasi-incompressible and incompressible materialsstrong symmetry condition

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items

Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom ⋮ Warping and in-plane twist parameters in kinematics of finite rotation shells ⋮ On drilling degrees of freedom in nonlinear elasticity and a hyperelastic material description in terms of the stretch tensor. II: Application to membranes ⋮ Theory and FE analysis for structures with large deformation under magnetic loading ⋮ Quadratic-stretch elasticity

Cites Work

• Unnamed Item
• On drilling degrees of freedom
• Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
• A robust quadrilateral membrane finite element with drilling degrees of freedom
• The Biot stresses in nonlinear elasticity and the associated generalized variational principles