Another look at the evolution of material structures. (English) Zbl 1024.74006

Binz, Ernst; Elżanowski, Marek Z.

Math. Mech. Solids 7, No. 2, 203-214 (2002).

Summary: The evolution of a distribution of material inhomogeneities is investigated by analyzing the evolution of the corresponding material connection. We also derive some general relations describing how the deformation of a material \(G\)-structure modifies the material connection associated with it. These relations are then analyzed for different material isotropy groups.

MSC:

74A99	Generalities, axiomatics, foundations of continuum mechanics of solids
74E05	Inhomogeneity in solid mechanics

Keywords:

evolution of material inhomogeneities; material \(G\)-structure; material connection; material isotropy groups

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