New estimates of the third-order elastic constants for isotropic aggregates of cubic crystals

DOI10.1016/S0022-5096(96)00113-5zbMath0974.74551MaRDI QIDQ1589249

Vlado A. Lubarda

Publication date: 3 January 2001

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

zbMATH Keywords

nonlinear elasticitypolycrystalline materialself-consistent methodeffective third-order elastic constantsisotropic aggregates of cubic crystals

Mathematics Subject Classification ID

Crystalline structure (74E15) Effective constitutive equations in solid mechanics (74Q15)

Related Items (7)

Modeling elasticity of cubic crystals using a novel nonlocal lattice particle method ⋮ Estimates of nonlinear elastic constants and acoustic nonlinearity parameters for textured polycrystals ⋮ Nonlinear thermomechanics for analysis of weak shock profile data in ductile polycrystals ⋮ Ultrasonic attenuation in polycrystals using a self-consistent approach ⋮ Applicability of the interface spring model for micromechanical analyses with interfacial imperfections to predict the modified exterior Eshelby tensor and effective modulus ⋮ Unnamed Item ⋮ Reconstruction for the coefficients of a quasilinear elliptic partial differential equation

Cites Work

• Nonlinear elastic properties of particulate composites
• On the overall moduli of non-linear elastic composite materials
• Determination of the overall moduli in second order incompressible elasticity
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• Dimensional Changes in Crystals Caused by Dislocations
• Fourth-rank tensors of the thirty-two crystal classes: multiplication tables
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