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Weight Function for a Crack in a Two-dimensional Orthotropic Medium Under Impact Shear Loading

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Abstract

The paper examines the elastodynamic response of an infinite two-dimensional orthotr- opic medium containing a central crack under impact shear loading. Laplace and Fourier integral transforms are employed to reduce the problem to a pair of dual integral equations in the Laplace transformed plane. These equations are reduced to integral differential equations, which have been solved in the low frequency domain by iterations. To determine time dependence, these equations are inverted to yield the dynamic stress intensity factor (SIF) for shear point force loading that corresponds to the weight function for the crack under shear loading. It is used to derive SIF for polynomial loading.

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Authors and Affiliations

  1. Department of Mathematics, B. P. Poddar Institute of Management & Technology, Poddar Vihar, 137,V. I. P. Road, Kolkata, 700 0052, West Bengal, INDIA

    S. Das

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  1. S. Das
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Correspondence to S. Das.

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Das, S. Weight Function for a Crack in a Two-dimensional Orthotropic Medium Under Impact Shear Loading. Int J Fract 142, 331–338 (2006). https://doi.org/10.1007/s10704-006-9038-1

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  • DOI: https://doi.org/10.1007/s10704-006-9038-1

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