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Fracture parameter for thermoinelasticity

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Abstract

A path domain independent integral, S, that equals the energy release rate for an extending crack in a thermoinelastic field is presented. This paper develops the new parameter from its theoretical foundations in continuum mechanics, demonstrates that S can be calculated from finite element results and describes how S can be obtained from experiments.

The S-integral is developed for simple uncoupled and linearized fully coupled quasi static thermoinelastic cases. Invoking thermoinelastic continuum mechanics linearized for small strain and small temperature changes, S emanates from a discrete Lagrangian describing the thermoinelastic system and Noether's theorem from classical field theory. S defines the force acting on an extending crack and represents a conservation law for a crack free body analogous to the Budiansky and Rice interpretation of the J-integral.

The conservation law nature of S for a singularity free region is demonstrated by both computational and physical experiments. S can be calculated from finite element results via a two step postprocessing algorithm. Furthermore, S can be obtained from physical experiments. The S-integral offers a parameter to improve the understanding of the strength and reliability of materials subjected to thermomechanical loadings.

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Authors and Affiliations

  1. Scientific Research Lab, Ford Motor Company, 23400 Michigan Avenue, 48124, Dearborn, Michigan, USA

    D. A. Wagner

  2. Applied Mechanics, Stanford University, 94305, Stanford, California, USA

    J. C. Simo

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  1. D. A. Wagner
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  2. J. C. Simo
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Wagner, D.A., Simo, J.C. Fracture parameter for thermoinelasticity. Int J Fract 56, 159–187 (1992). https://doi.org/10.1007/BF00015598

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  • DOI: https://doi.org/10.1007/BF00015598

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