General solution procedures in elasto/viscoplasticity

✍ Scribed by Giulio Alfano; Fabio De Angelis; Luciano Rosati

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 574 KB
• Volume: 190
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(00)00370-4

✦ Synopsis

Constitutive relations and numerical integration algorithms for elasto/viscoplastic problems are investigated. A fully implicit integration scheme is adopted and the relevant expression of the consistent tangent operator for yield criteria and ¯ow functions of arbitrary type is derived by suitably generalizing the approach exploited for rate-independent plasticity. This is achieved by replacing the consistency condition of plasticity with a relation between the viscoplastic consistency parameter and the ¯ow function of the constitutive model in use. The methodology adopted simpli®es alternative procedures for the evaluation of consistent tangent operators which necessitate the inversion of a viscoplastic compliance operator. The general expression of the consistent tangent operator is then specialized to the von Mises yield criterion endowed with commonly adopted viscoplastic constitutive models. Numerical examples are ®nally presented.