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The non-Riemannian dislocated crystal: a tribute to Ekkehart Kröner (1919–2000). (English) Zbl 1281.74029

Summary: This expository paper is a tribute to Ekkehart Kröner’s results on the intrinsic non-Riemannian geometrical nature of a single crystal filled with point and/or line defects. A new perspective on this old theory is proposed, intended to contribute to the debate around the still open Kröner’s question: “what are the dynamical variables of our theory?”

MSC:

74N05 Crystals in solids
74A05 Kinematics of deformation
74B05 Classical linear elasticity
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Kröner, Ekkehart
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