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M-Integral and Virial Theorem in Elastodynamics

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Abstract

The elastodynamic M-integral of Fracture Mechanics is formulated via the virial theorem of continuum mechanics. The theorem is adapted to nonlinear elastic solids and presented in physical as well as in material space, so that it is consistent with associated balance laws. The M-integral is applied to a stationary crack subjected to time harmonic load and it is related to the J-integral.

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Authors and Affiliations

  1. Department of Mechanical, Industrial, and Manufacturing Engineering, Northeastern University, Boston, MA, 02115-5000

    B. Gommerstadt

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  1. B. Gommerstadt
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Gommerstadt, B. M-Integral and Virial Theorem in Elastodynamics. International Journal of Fracture 112, 33–38 (2001). https://doi.org/10.1023/A:1022676903502

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  • DOI: https://doi.org/10.1023/A:1022676903502

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