Die Spannungsfunktionen der dreidimensionalen anisotropen Elastizit�tstheorie

Nonlocal continuum crystal plasticity with internal residual stresses

“…Here, the extension for anisotropic case is presented (Kröner, 1955). For the anisotropic case the incompatibility equation is written as (compare Eq.…”

“…The explicit formulation for X ijkl operator for cubic symmetry media has been derived by Kröner (1955) and extended to fully anisotropic case by Michelitsch and Wunderlin (1996).…”

The non-Riemannian dislocated crystal: A tribute to Ekkehart Kröner (1919-2000)

“…A recent thermodynamic analysis with W3 has been remarkably reported by Berdichevsky [5] where ðb is identified with the plastic distortion. Let us remark however that by (17) & (18), ðb is not, because of the prescription of the arbirary x0, an unambiguous state variable, as opposed to ðω.…”

“…He has been actively publishing for 50 years, mostly as a single author, on the physical understanding of defective solids, but also on their mathematical structure. One could make a distinction between a first series of paper [17]- [19] where he constructs an original approach to understand dislocations, and a later series [20]- [24] where he raises questions, while reporting new knowledge in the field.…”

Solution of the incompatibility problem in linear three‐dimensional anisotropic media for an isotropic incompatibility tensor

“…Now we introduce the fourth-order stress function tensor Y which is defined by [3] f ( V ) y 7 j + v2, = 0…”