A convergent bounding principle for a class of elastoplastic strain-hardening solids

✍ Scribed by Castrenze Polizzotto

• Book ID: 103919158
• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 612 KB
• Volume: 2
• Category: Article
• ISSN: 0749-6419
• DOI: 10.1016/0749-6419(86)90023-9

✦ Synopsis

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.