Tensor Presentation of Algorithmic Tangent Modulus for Plastic-Damage Models

Ji Zhang; Zhong Xian Zhang; Cai Ping Huang

doi:10.4028/www.scientific.net/AMM.29-32.1747

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 29-32Tensor Presentation of Algorithmic Tangent Modulus...

Tensor Presentation of Algorithmic Tangent Modulus for Plastic-Damage Models

Abstract:

For a class of plastic-damage models, spectral return-mapping algorithm performed upon the principal effective stresses is efficient, while algorithmic tangent modulus formulated upon the general effective stress components is much simpler. In order to facilitate the transformation between these two sets of stress components in the formulation of algorithmic tangent modulus, a new concept of fictitious stress tensor, which is orthogonally similar to the real stress tensor, is proposed in this paper. The rank four Jacobian tensor of the fictitious effective stress is calculated from spectral decomposition; and a clear tensor formulation of algorithmic tangent modulus is presented.

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Periodical:

Applied Mechanics and Materials (Volumes 29-32)

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1747-1752

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.29-32.1747

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Online since:

August 2010

Authors:

Ji Zhang, Zhong Xian Zhang, Cai Ping Huang

Keywords:

Algorithmic Tangent Modulus, Fictitious Stress Tensor, Plastic-Damage Model, Spectral Return-Mapping Algorithm

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