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Large deformation finite element analysis with inelastic constitutive models including damage

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Abstract

In this paper, the kinematic quantities needed for the description of finite deformations with inelastic constitutive models are summarized and the formulation of an inelastic mateial model for large deformations is given. Here, the Bodner-Partom model is used and extended to include damage effects based on Gurson's model. An approximation of the constitutive model is given which takes into account the volumetric constraint and which is suitable for the incremental numerical scheme.

The numerical time integration of the constitutive equations is performed using an implicit scheme which is equivalent to the radial return method of rate independent plasticity. Linearization of the numerical scheme leads to a consistent tangent operator. Therefore, the overall incremental algorithm exhibits quadratic convergence.

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Authors and Affiliations

  1. MTU München GmbH, Dachauer Str. 665, D-80995, München, Germany

    H. -P. Hackenberg

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  1. H. -P. Hackenberg
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Communicated by S. N. Atluri, 4 April 1995

dedicated to Prof. Dr.-Ing. F. G. Kollmann on the occasion of his 60th birthday

This research has been performed while the author was still at “Fachgebiet Maschinenelemente und Maschinenakustik, Technische Hochschule Darmstadt”.

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Hackenberg, H.P. Large deformation finite element analysis with inelastic constitutive models including damage. Computational Mechanics 16, 315–327 (1995). https://doi.org/10.1007/BF00350721

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