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Dynamic Fracture Theory

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Crack Dynamics in Metallic Materials

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 310))

Abstract

Dynamic (inertia and strain rate) effects influence crack growth processess if the applied loading rate is sufficiently high or if the crack tip moves with a speed that is a significant fraction of the wave velocities. In the paper basic results as well as solutions to boundary value problems incorporating dynamic effects are discussed. The integral expression for the energy flow to a moving crack tip is derived and related path-area integrals are discussed. It is shown that these quantities are non-trivial only if the energy density behaves as O(r−½). The J-integral emerges as a special case of the general formulations. For linear dynamic problems a line integral defined in the Laplace transform space is introduced. The asymptotic field of a crack growing dynamically in a linear elastic material is derived and the stress-intensity factors are defined. KI-solutions are discussed for a number of problems involving both stationary cracks under dynamic loading as well as moving tips. Asymptotic solutions are given for both stationary and moving tips in different non-linear materials with either rate-independent or rate-dependent elasto-plastic behaviour. These solutions provide the basis for a discussion of dynamic crack growth criteria. Finally, some aspects on numerical modelling of dynamic crack problems are briefly discussed.

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  1. University of Uppsala, Uppsala, Sweden

    F. Nilsson

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  1. F. Nilsson
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  1. University of Metz, France

    J. R. Klepaczko

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© 1990 Springer-Verlag Wien

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Nilsson, F. (1990). Dynamic Fracture Theory. In: Klepaczko, J.R. (eds) Crack Dynamics in Metallic Materials. CISM International Centre for Mechanical Sciences, vol 310. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2824-4_1

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  • DOI: https://doi.org/10.1007/978-3-7091-2824-4_1

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82226-5

  • Online ISBN: 978-3-7091-2824-4

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