A mixed strain element method for pressure-dependent elastoplasticity at moderate finite strain

✍ Scribed by Xikui Li; S. Cescotto; P. G. Duxbury

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 844 KB
• Volume: 43
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19980915)43:1<111::aid-nme337>3.0.co;2-y

✦ Synopsis

This paper presents a framework to describe a mixed element method in the context of pressure-dependent elastoplasticity at moderate ÿnite strain. A mixed strain element with one-point quadrature and hourglass control at moderate ÿnite strain is developed on the basis of the Hu-Washizu principle and the co-rotational formulation. The element is formulated with reference to the so-called natural co-ordinate system, 1 which allows to derive the consistent tangent modulus matrix and the single step backward Euler integration scheme at the element quadrature point for pressure-dependent elastoplasticity in an elegant and numerically e cient form.

In addition, with the introduction of the natural co-ordinate system, a new deÿnition of internal state variable for the pressure-dependent elasto-plasticity is proposed to allow for the simultaneous description of the two strain hardening=softening paths in tension and compression. Numerical examples are given to demonstrate the performance of the mixed element method presented in this paper. ?