Numerical aspects associated with the implementation of a finite strain, elasto-viscoelastic–viscoplastic constitutive theory in principal stretches

Holmes, D.W., and Loughran, J.G. (2010) Numerical aspects associated with the implementation of a finite strain, elasto-viscoelastic–viscoplastic constitutive theory in principal stretches. International Journal for Numerical Methods in Engineering, 83 (3). pp. 366-402.

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Abstract

This paper treats the numerical implementation of a finite strain, elasto-viscoelastic–viscoplastic constitutive model for semi-crystalline polymers, written in principal stretches. A parallel configuration of the three model elements is used that enables the decoupled algorithmic treatment of each response within a stress update numerical scheme. The numerical aspects associated with the use of principal stretch constitutive expressions in a tensor space numerical environment are initially developed for the general cases of any elastic or inelastic constitutive element. Included is the formulation of the closed-form, consistent tangential modulus tensor. The principal space algorithmic treatments of the elastic, viscoelastic and viscoplastic elements are then used as specific examples. Of particular importance is the development of a principal space, closest point projection return mapping algorithm for viscoplasticity including isotropic strain hardening. Preliminary numerical examples are presented to illustrate the versatility of the model.

Item ID: 15530
Item Type: Article (Refereed Research - C1)
Keywords: elasto-viscoelastic–viscoplastic; numerical implementation; closest point projection; principal stretches
ISSN: 1097-0207
Funders: Gough Plastics Pty Ltd
Date Deposited: 04 Mar 2011 04:10
FoR Codes: 01 MATHEMATICAL SCIENCES > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis @ 50%
09 ENGINEERING > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation @ 50%
SEO Codes: 89 INFORMATION AND COMMUNICATION SERVICES > 8902 Computer Software and Services > 890201 Application Software Packages (excl. Computer Games) @ 30%
97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 50%
97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 20%
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