Elastic anisotropy and yield surface estimates of polycrystals

DOI10.1016/j.ijsolstr.2009.04.001zbMath1167.74367OpenAlexW2108486278MaRDI QIDQ837826

O. Castelnau, Renald Brenner, Ricardo A. Lebensohn

Publication date: 21 August 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2009.04.001

zbMATH Keywords

fast Fourier transformyield surfacepolycrystalselastic anisotropyself-consistent model

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Crystalline structure (74E15) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (6)

Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver ⋮ FFT-based modelling of transformation plasticity in polycrystalline materials during diffusive phase transformation ⋮ Computational approach for composite materials with coupled constitutive laws ⋮ FFT-based micromechanical simulations of transformation plasticity. Comparison with a limit-analysis-based theory ⋮ Stress-induced phase transformations in shape-memory polycrystals ⋮ Effect of regularization of Schmid law on self-consistent estimates for rate-independent plasticity of polycrystals

Uses Software

• FFTW

Cites Work

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• Residual stresses and stored elastic energy of composites and polycrystals
• Static elastic and thermoelastic field fluctuations in multiphase composites
• Bounds for effective elastic moduli of disordered materials
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• Intraphase strain heterogeneity in nonlinear composites: A computational approach
• Micro-stress distribution within polycrystalline aggregate
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• On the accuracy of self-consistent elasticity formulations for directionally solidified polycrystal aggregates
• Elastic properties of reinforced solids: Some theoretical principles
• Mechanical field fluctuations in polycrystals estimated by homogenization techniques
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• EIGENTENSORS OF LINEAR ANISOTROPIC ELASTIC MATERIALS

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