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A simplified model of rigid-ideally plastic crystal. (English) Zbl 0687.73054

After a review of main results of the author [J. Tech. Phys. 28, No.3, 309-326 (1987); ibid. 29, No.2, 155-176 (1988)], a method of approximation of the Schmid law is shown. Next a comparison between the Mises and the Schmid yield surface for f.c.c. crystals is given. Finally, the case of an idealized crystal with a double slip under plane strain conditions is examined in detail.

MSC:

74B99 Elastic materials
74C99 Plastic materials, materials of stress-rate and internal-variable type
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
82D25 Statistical mechanics of crystals
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