Summary
G-structures are the geometric backbone of the theory of material uniformity in continuum mechanics. Within this geometric framework, anelasticity is seen as a result of evolving distributions of inhomogeneity reflected as material nonintegrability. Constitutive principles governing thetime evolution of the G-structure underlying the finite-strain theory of anelasticity (e.g., plasticity) are proposed. The material Eshelby stress tensor is shown to be thedriving force behind this evolution. This should allow for a thermodynamically admissible formulation of anelasticity viewed as a G-structure evolution.
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Epstein, M., Maugin, G.A. On the geometrical material structure of anelasticity. Acta Mechanica 115, 119–131 (1996). https://doi.org/10.1007/BF01187433
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DOI: https://doi.org/10.1007/BF01187433