Weight Function for a Crack in a Two-dimensional Orthotropic Medium Under Impact Shear Loading
Source abstract
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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Research context
OpenAlex topics: Thermoelastic and Magnetoelastic Phenomena · Ultrasonics and Acoustic Wave Propagation · Numerical methods in engineering
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References (10)
Show source-provided references
1. Bakshi A, Das S, Bera RK (2003) Impact response of a cracked orthotropic medium-revisited. Int J Engng Sci. 41:2063–207910.1016/S0020-7225(03)00133-2 ↗
2. Bueckner HF (1970) A novel principle for the computation of stress intensity factor. Z Angew Math Mech. 50:529–546
3. Bueckner HF (1973) Field singularities and related integral representations. Mechanics of Fracture – 1. Sih GC (ed). Noordhoff–Leyden, The Netherlands, pp 239–31910.1007/978-94-017-2260-5_5 ↗
4. Cooke JC (1970) The solution of some integral equations and their connection with dual integral equations and series. Glasgow Math J 11:9–2010.1017/S0017089500000793 ↗
5. Das S (2006) Elastodynamic response of a cracked orthotropic medium under impact loading. Computat Mater Sci 37:187–19210.1016/j.commatsci.2005.12.037 ↗
6. Gonzalez CR, Mason JJ (1999) Response of finite cracks in orthotropic materials due to concentrated impact shear loads. J Appl Mech 66:485–49110.1115/1.2791073 ↗
7. Isida M (1972) Data on crack tip stress intensity factors. JSME 75:1127–1135
8. Kassir MK, Bandhopadhya KK (1983) Impact response of a cracked orthotropic medium. ASME J Appl Mech 50:630–63610.1115/1.3167101 ↗
9. Papoulis A (1957) The method of inversion of Laplace transform. Q Appl Math 14:405–41410.1090/qam/82734 ↗
10. Rice JR (1989) ASTM-STP Proceedings of 20 th National symposium on Fracture Mechanics, Lehigh University, 29–57