Formulation of implicit stress integration and consistent tangent modulus for an anisotropic hardening constitutive model

✍ Scribed by Seboong Oh; Seung R. Lee

• Book ID: 104266874
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 526 KB
• Volume: 191
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(01)00274-2

✦ Synopsis

An anisotropic hardening constitutive model based on the generalized isotropic hardening (GIH) rule was implemented into the nonlinear ®nite element method. The GIH rule describes discrete formation of homology centers and simultaneous hardening of both inner and outer yield surfaces. Consequently, yielding in the ®eld of reverse loading can be accurately modeled by this rule. In order to preserve the accuracy of nonlinear ®nite element analysis, an implicit stress integration technique employing the generalized trapezoidal rule was applied to the GIH constitutive equation. Furthermore, the consistent tangent modulus was formulated and coded into a nonlinear FEA program, which has the advantage of the quadratic rate of convergence in Newton's iteration. Accuracy and convergence were successfully veri®ed through examples, and thus the anisotropic hardening constitutive model could assess the plastic straining mobilized in overconsolidated state and versatile loading sequences.