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On a class of constitutive relations for nonlinear infinitesimal elasticity

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Publication:1821573
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DOI10.1016/0022-5096(87)90017-2zbMath0616.73004OpenAlexW2089914999MaRDI QIDQ1821573

Rodney Hill

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-5096(87)90017-2

zbMATH Keywords

self-similarcontour surfaceshighly nonlinear anisotropic behaviourLegendre dual potentialsnonlinear infinitesimal elasticityunstressed state


Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Theory of constitutive functions in solid mechanics (74A20)


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Consistent tangent operator for plasticity models based on the plastic strain rate potential, On high-order hypoplastic models for granular materials, Dual potentials and extremum work principles in single crystal plasticity, Deformation and damage of composites with anisotropic components (review), Uniform strain fields and microstructure-independent relations in nonlinear elastic fibrous composites



Cites Work

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  • New horizons in the mechanics of solids
  • Constitutive dual potentials in classical plasticity
  • Bounds and self-consistent estimates for creep of polycrystalline materials
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