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Thermomechanical response of non-local porous material

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Author

Summary, in English

A thermomechanical model of a porous material is presented. The constitutive model is based on the Gurson model, formulated within a thermodynamic framework and adapted to large deformations. The thermodynamic framework yields a heat equation that naturally includes the mechanical dissipation. To introduce a length scale, the Gurson model was enhanced through non-local effects of the porosity being taken into account. A numerical integration scheme of the constitutive model and the algorithmic stiffness tensor are derived. The integration of the plastic part of the deformation gradient is based on an exponential update operator, an eigenvalue decomposition is also being used to reduce the number of equations that need to be solved. The coupled problem that arises is dealt with by employing a staggered solution method. To examine the capabilities of the model, shear band formation in a thick disc and crack growth in a thick notched disc were investigated. (c) 2006 Elsevier Ltd. All rights reserved.

Department/s

Publishing year

2006

Language

English

Pages

2066-2090

Publication/Series

International Journal of Plasticity

Volume

22

Issue

11

Document type

Journal article

Publisher

Elsevier

Topic

  • Mechanical Engineering

Keywords

  • heat generation
  • non-local damage
  • Gurson
  • thermoplasticity

Status

Published

ISBN/ISSN/Other

  • ISSN: 0749-6419