Constitutive equations of elastic polycrystalline materials

DOI10.1007/S002050050184zbMath0958.74014OpenAlexW2027409707MaRDI QIDQ1968695

Chi-Sing Man, Roberto Paroni

Publication date: 9 April 2001

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050184

zbMATH Keywords

Cauchy stressorientation distribution functionconstitutive equationtexturecubic crystallitesacoustoelastic tensorselastic polycrystalline materialsgroup-theoretical characterizationlinear elasticity with initial stressesmaterial descriptorsorthorhombic aggregates

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Crystalline structure (74E15) Texture in solid mechanics (74E25) Statistical mechanics of crystals (82D25) Theory of constitutive functions in solid mechanics (74A20)

Related Items (11)

Estimates of nonlinear elastic constants and acoustic nonlinearity parameters for textured polycrystals ⋮ Crystallographic texture and group representations ⋮ Constitutive relation of an orthorhombic polycrystal with the shape coefficients ⋮ A representation theorem for material tensors of weakly-textured polycrystals and its applications in elasticity ⋮ Solvent-vapor induced spherulitic growth in multicomponent elastic films ⋮ Perturbation of phase velocity of Rayleigh waves in pre-stressed anisotropic media with orthorhombic principal part ⋮ Perturbation approach to elastic constitutive relations of polycrystals ⋮ Constitutive relation of elastic polycrystal with quadratic texture dependence ⋮ On the continuum modeling of materials with kinematic structure ⋮ Shape transitions in a soft incompressible sphere with residual stresses ⋮ Explicit Bounds of Effective Stiffness Tensors for Textured Aggregates of Cubic Crystallites

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