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On the generation of discrete isotropic orientation distributions for linear elastic cubic crystals

Bertram, A.; Boehlke, T.; Gaffke, N.; Heiligers, B.

We consider a model for the elastic behavior of a polycrystalline material based on volume averages. In this case the effective elastic properties depend only on the distribution of the grain orientations. The aggregate is assumed to consist of a finite number of grains each of which behaves elastically like a cubic single crystal. The material parameters are fixed over the grains. An important problem is to find discrete orientation distributions (DODs) which are isotropic, i.e., whose Voigt and Reuss averages of the grain stiffness tensors are isotropic. We succeed in finding isotropic DODs for any even number of grains N≥4 and uniform volume fractions of the grains. Also, N=4 is shown to be the minimum number of grains for an isotropic DOD.

Zugehörige Institution(en) am KIT Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2000
Sprache Englisch
Identifikator ISSN: 0374-3535
KITopen-ID: 1000013758
Erschienen in Journal of elasticity
Band 58
Seiten 233-248
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