Submacroscopically Stable Equilibria of Elastic Bodies Undergoing Disarrangements and Dissipation

DOI10.1177/1081286509106101zbMath1257.74056OpenAlexW2056917290MaRDI QIDQ4905293

David R. Owen, Luca Deseri

Publication date: 15 February 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: http://www.math.cmu.edu/CNA/Publications/publications2008/014abs/08-CNA-014.pdf

zbMATH Keywords

stabilityelasticitydissipationnematic elastomerssubmacroscopic structures

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Elastic materials (74B99)

Related Items (11)

Stable disarrangement phases arising from expansion/contraction or from simple shearing of a model granular medium ⋮ Moving interfaces that separate loose and compact phases of elastic aggregates: a mechanism for drastic reduction or increase in macroscopic deformation ⋮ Submacroscopic disarrangements induce a unique, additive and universal decomposition of continuum fluxes ⋮ Residual stresses in random elastic composites: nonlocal micromechanics-based models and first estimates of the representative volume element size ⋮ Elasticity with hierarchical disarrangements: a field theory that admits slips and separations at multiple submacroscopic levels ⋮ Laminar flow through fractal porous materials: the fractional-order transport equation ⋮ Disarrangements and instabilities in augmented one-dimensional hyperelasticity ⋮ Hyperelastic internal balance by multiplicative decomposition of the deformation gradient ⋮ Elasticity with gradient-disarrangements: a multiscale perspective for strain-gradient theories of elasticity and of plasticity ⋮ Stable disarrangement phases of elastic aggregates: a setting for the emergence of no-tension materials with non-linear response in compression ⋮ Finite stretching and shearing of an internally balanced elastic solid

Cites Work

• Unnamed Item
• Implicit partial differential equations
• Structured deformations of continua
• Macroscopic response of nematic elastomers via relaxation of a class of \(SO(3)\)-invariant energies
• Toward a field theory for elastic bodies undergoing disarrangements
• Invertible structured deformations and the geometry of multiple slip in single crystals
• Integral-gradient formulae for structured deformations
• Energetics of Two-Level Shears and Hardening of Single Crystals

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