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Thomas, Marita; Heida, Martin

GENERIC for dissipative solids with bulk-interface interaction. (English) Zbl 1500.74002

Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 333-364 (2022).
Summary: The modeling framework of GENERIC was originally introduced by M. Grmela and H. C. Öttinger [“Dynamics and thermodynamics of complex fluids. I: Development of a general formalism”, Phys. Rev. E 56, No. 6, 6620–6632 (1997; doi:10.1103/PhysRevE.56.6620)] for thermodynamically closed systems. It is phrased with the aid of the energy and entropy as driving functionals for reversible and dissipative processes and suitable geometric structures. Based on the definition of functional derivatives, we propose a GENERIC framework for systems with bulk-interface interaction and apply it to discuss the GENERIC structure of models for delamination processes.
For the entire collection see [Zbl 1495.74001].

MSC:

74A40 Random materials and composite materials
74A45 Theories of fracture and damage
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
74A15 Thermodynamics in solid mechanics

Keywords:

functional derivative; thermo-viscoelastic body; delamination; cohesive zone model; bulk Onsager operator
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\textit{M. Thomas} and \textit{M. Heida}, Assoc. Women Math. Ser. 31, 333--364 (2022; Zbl 1500.74002)
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