Biot Stress and Strain in Thin-Plate Theory for Large Deformations

DOI10.1134/S1990478918030109zbMath1413.74054OpenAlexW2888022757MaRDI QIDQ4558320

V. B. Myntiuk

Publication date: 21 November 2018

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478918030109

zbMATH Keywords

plategeometrically nonlinear theoryright stretch tensorBiot stress tensor

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Membranes (74K15)

Related Items

Postbuckling of a uniformly compressed simply supported plate with free in-plane translating edges

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom
• A shell theory with independent rotations for relaxed Biot stress and right stretch strain
• On constitutive inequalities for simple materials. I
• A new variational principle for finite elastic displacements
• Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analyses of finitely deformed solids, with application to plates and shells—I
• The Biot stresses in nonlinear elasticity and the associated generalized variational principles
• The Nonlinear Theory of Elastic Shells
• Nonlinear Shell Theory With Finite Rotation and Stress-Function Vectors