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The energy release rate for hygrothermal coupling elastic materials

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Abstract

In the fracture problems of hydrophilic elastic materials under coupling effects of heat conduction, moisture diffusion and mechanical deformation, the conventional J-integral is no longer path independent. The value of J is unequal to the energy release rate in hygrothermal coupling cases. In the present paper, we derived a general form of the energy release rate for hygrothermal fracture problems of the hydrophilic elastic materials on the basis of energy balance equation in cracked areas. By introducing the constitutive relations and the essential equations of irreversible thermodynamics, a specific expression of the energy release rate was obtained, and the expression can be reformmulated as path independent integrals, which is equivalent to the energy release rate of the fracture body. The path independence of the integrals is then verified numerically.

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Authors and Affiliations

  1. Institute of Computational Engineering and Science, Southwest Jiaotong University, Chengdu, 610031, China

    Fan Yang & Dapeng Chen

  2. Department of Material Science, Fudan University, Shanghai, 200433, China

    Jun Wang

Authors
  1. Fan Yang
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  2. Jun Wang
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  3. Dapeng Chen
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Corresponding author

Correspondence to Jun Wang.

Additional information

The project supported by the Key Project of Chinese Ministry of Education (03145) and the Science Fund of Southwest Jiaotong University.

The English text was polished by Yunming Chen.

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Yang, F., Wang, J. & Chen, D. The energy release rate for hygrothermal coupling elastic materials. ACTA MECH SINICA 22, 28–33 (2006). https://doi.org/10.1007/s10409-006-0087-5

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  • DOI: https://doi.org/10.1007/s10409-006-0087-5

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