Toupin–Mindlin first strain‐gradient elasticity for cubic and isotropic materials at small scales

Abstract

AbstractThe Toupin–Mindlin anisotropic first strain‐gradient elasticity is a generalized continuum field theory valid at small scales. The field theoretical framework, the constitutive tensors, and the material parameters are given for anisotropic, cubic, and isotropic materials in first strain gradient elasticity. Since the characteristic lengths are in the unit‐range of Ångström, first strain‐gradient elasticity leads to Ångström mechanics, in a straightforward manner.