(to be submitted for journal publication)


Elasto-viscoplastic Consistent Tangent Operator-based Implicit Algorithm for Boundary Element Method

 

G.H. Paulino
Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Newmark Laboratory, 205 North Mathews Avenue,
IL, 61801, USA

Y. Liu
Department of Mechanical Engineering, Aeronautical Engineering & Mechanics, Rensselaer Polytechnic Institute, Troy, NY 12180


Abstract


This paper presents a non-linear boundary element formulation and corresponding implementation for elasto-viscoplasticity using the consistent tangent operator (CTO) concept, and considering both kinematic and isotropic hardening.  When viscoplastic deformation occurs, the effective stresses in the non-linear region is allowed to exceed the loading surface, and the purely plastic theory is not suitable for this situation.   Therefore, this paper investigates the viscoplastic problem, and presents a novel implicit viscoplastic algorithm using the CTO concept within a boundary element framework.   Relevant numerical examples are provided, which validate the present model.   Conclusions are inferred and potential extensions of this work are discussed.

 

Key words:  elasto-viscoplastic material, plasticity, consistent tangent operator, boundary element method (BEM)

 

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