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A damage analysis for brittle materials using stochastic micro-structural information

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A Correction to this article was published on 26 February 2018

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Abstract

In this work, a micro-crack informed stochastic damage analysis is performed to consider the failures of material with stochastic microstructure. The derivation of the damage evolution law is based on the Helmholtz free energy equivalence between cracked microstructure and homogenized continuum. The damage model is constructed under the stochastic representative volume element (SRVE) framework. The characteristics of SRVE used in the construction of the stochastic damage model have been investigated based on the principle of the minimum potential energy. The mesh dependency issue has been addressed by introducing a scaling law into the damage evolution equation. The proposed methods are then validated through the comparison between numerical simulations and experimental observations of a high strength concrete. It is observed that the standard deviation of porosity in the microstructures has stronger effect on the damage states and the peak stresses than its effect on the Young’s and shear moduli in the macro-scale responses.

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  • 26 February 2018

    After publication of the original article [1], it has come to our attention that a citation of article [2] was missed.

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Acknowledgments

The support of this work by US Army Engineer Research and Development Center under contract W912HZ-07-C-0019 to UC San Diego for the first two authors, and National Science Foundation of China under Grant No. 91315301 to Tongji University for the third author are gratefully acknowledged.

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Authors and Affiliations

  1. Research and Innovation Center, Ford Motor Company, Dearborn, MI, 48121, USA

    Shih-Po Lin

  2. Department of Structural Engineering, University of California, San Diego, CA, 92093, USA

    Jiun-Shyan Chen

  3. School of Civil Engineering, Tongji University, Shanghai, 200092, People’s Republic of China

    Shixue Liang

Authors
  1. Shih-Po Lin
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  2. Jiun-Shyan Chen
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  3. Shixue Liang
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Corresponding author

Correspondence to Jiun-Shyan Chen.

Additional information

A correction to this article is available online at https://doi.org/10.1007/s00466-017-1526-9.

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Lin, SP., Chen, JS. & Liang, S. A damage analysis for brittle materials using stochastic micro-structural information. Comput Mech 57, 371–385 (2016). https://doi.org/10.1007/s00466-015-1247-x

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  • DOI: https://doi.org/10.1007/s00466-015-1247-x

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