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A convergent bounding principle for a class of elastoplastic strain- hardening solids. (English) Zbl 0612.73035

For a class of elastoplastic solids exhibiting a mixed kinematic- isotropic behavior, a convergent bounding principle is presented. This principle, formulated by means of a suitable perturbation method, is able to provide upper bounds on different kinds of the actual plastic deformation induced by a specified load history. These bounds, expressed in terms of a ”fictitious solution,” can be rendered as close to the actual deformations as desired, but at the cost of increasing computational efforts. A bounding principle for repeated loads and a shakedown theorem are also presented as special cases of the convergent bounding principle.

MSC:

74R20 Anelastic fracture and damage
74C99 Plastic materials, materials of stress-rate and internal-variable type
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