From nonlinear elasticity to linearized theory: examples defying intuition

DOI10.1007/s10659-009-9191-7zbMath1273.74023OpenAlexW1989295733MaRDI QIDQ834635

N. E. Zubov

Publication date: 27 August 2009

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-009-9191-7

zbMATH Keywords

functionally graded materialinhomogeneous bodiesirregular solutionzero residual stress

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Related Items (4)

A generalized formulation of elastodynamics: small on rigid ⋮ On pressurized curvilinearly orthotropic circular disk, cylinder and sphere made of radially nonuniform material ⋮ A reexamination of some puzzling results in linearized elasticity ⋮ A continuum model for circular graphene membranes under uniform lateral pressure

Uses Software

• deal.ii

Cites Work

• Unnamed Item
• The Piola-Kirchhoff stress may depend linearly on the deformation gradient
• Convexity conditions and existence theorems in nonlinear elasticity
• On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids
• A primer in elasticity
• The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials
• Bifurcation instability in linear elasticity with the constraint of local injectivity
• Quasi-convexity and the lower semicontinuity of multiple integrals
• deal.II—A general-purpose object-oriented finite element library
• De Giorgi’s counterexample in elasticity
• The constraint of local injectivity in linear elasticity theory
• Multiple natural states for an elastic isotropic material with polyconvex stored energy

This page was built for publication: From nonlinear elasticity to linearized theory: examples defying intuition