Implementing the New First and Second Differentiation of a General Yield Surface in Explicit and Implicit Rate-Independent Plasticity

Subject Areas : Engineering

F Moayyedian ¹ , M Kadkhodayan ²

1 - Mechanical Engineering Department, Ferdowsi University of Mashhad
2 - Mechanical Engineering Department, Ferdowsi University of Mashhad

Received: 2014-04-18 Accepted : 2014-06-20 Published : 2014-09-30

Keywords: Rate-independent Euler backward/forward methods, Consistent elastic-plastic modulus, Internally pressurized thick walled cylinder,

Abstract :

In the current research with novel first and second differentiations of a yield function, Euler forward along with Euler backward with its consistent elastic-plastic modulus are newly implemented in finite element program in rate-independent plasticity. An elastic-plastic internally pressurized thick walled cylinder is analyzed with four famous criteria including both pressure dependent and independent. The obtained results are in good agreement with experimental results. The consistent/continuum elastic-plastic moduli for Euler backward method are also investigated.

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