Fracture parameter for thermoinelasticity |
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Authors: | D. A. Wagner J. C. Simo |
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Affiliation: | (1) Scientific Research Lab, Ford Motor Company, 23400 Michigan Avenue, 48124 Dearborn, Michigan, USA;(2) Applied Mechanics, Stanford University, 94305 Stanford, California, USA |
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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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