Mathematical modeling of the elastic properties of cubic crystals at small scales based on the toupin-Mindlin anisotropic first strain gradient elasticity

DOI10.1007/s00161-021-01050-yzbMath1516.74023OpenAlexW3200536962MaRDI QIDQ6168740

Markus Lazar, E. K. Agiasofitou, Thomas Böhlke

Publication date: 9 August 2023

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-021-01050-y

zbMATH Keywords

anisotropyVoigt averagecharacteristic lengthsstrain gradient elasticityhigher-rank constitutive tensors

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Crystalline structure (74E15)

Related Items (6)

On the ellipticity of static equations of strain gradient elasticity and infinitesimal stability ⋮ Semi-analytical solution for the Lamb's problem in second gradient elastodynamics ⋮ On well‐posedness of the first boundary‐value problem within linear isotropic Toupin–Mindlin strain gradient elasticity and constraints for elastic moduli ⋮ Nonlocal elasticity of Klein-Gordon type: fundamentals and wave propagation ⋮ On angular and surface interactions in two-dimensional elastic lattices ⋮ Effective length scale parameters of the fiber-reinforced composites

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