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Scattering of SH-Wave by an Interface Cavity of ARbitrary Shape and the Crack at Its Edge

Author: ChenZhiGang
Tutor: LiuDianKui
School: Harbin Engineering University
Course: Solid Mechanics
Keywords: Dynamic stress concentration factor Dynamic stress intensity factor The interface arbitrarily shaped hole Hole edge radial crack Green's function SH -wave scattering
CLC: O343
Type: PhD thesis
Year: 2003
Downloads: 243
Quote: 3
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Abstract

This article online elasticity within the context of complex function and the Green function method of plane SH waves in the interface cavity of arbitrary shape, side holes on the radial side of radial cracks and holes interface crack scattering problem. First construct the Green function, which is a suitable answer the problem of this article contains answers to antiplane elastic half-space arbitrary shaped depression at any point in its horizontal plane under time harmonic line source load displacement field. Interface cavity of arbitrary shape and hole edge crack SH wave scattering problem as a \answers starting along the interface of the elastic space containing holes split two elastic half-space containing arbitrary shaped depression in the split surfaces plus home unknown anti-plane loads in the location of cracks plus home antiplane reaction force constructed cracks. Green's function to write the interface displacement continuity conditions, the establishment of the first kind of Fredholm integral equations solving unknown external force system, direct discrete definite solution of the integral equations into algebraic equations to solve. The specific work of this paper are as follows: 1. The basic solution starting from the the complete elastic half-space surface to withstand the loads of the line source, with a complex function of the conformal mapping method to obtain the elastic half-space containing arbitrary shaped depression at any point in its level surface withstand time harmonic antiplane line LOAD answers of the displacement field, the Green function. The construction of the Green function method and derivation process, to discuss the nature of the Green function. 2. The SH waves Interface arbitrary shaped hole near the dynamic stress concentration. Constructed at the junction of two different nature of the elastic half-space surface cavity of arbitrary shape the way the \transformed into algebraic equations to solve. Derived an expression of the interface arbitrarily shaped hole near the dynamic stress concentration factor. Interface oval hole, square hole and the edge of the diamond-shaped hole moving the numerical results of the stress concentration factor. The shape of the wave number, the angle of incidence, the combination of different media and bore hole near the dynamic stress concentration factor. 3. The far-field solution the interface arbitrarily shaped hole scattering of SH waves. On the basis to solve the the interface hole SH wave scattering near-field solution, further study of the characteristics of the far field. The interface oval hole and square hole displacement of the far-field pattern and scattering cross-section of the answer. The shape of the hole, the nature of the medium, the angle of incidence and wave scattering far-field characteristics. 4. Arbitrarily shaped hole edge in the isotropic medium radial cracks SH wave scattering, solving the crack tip dynamic stress intensity factor. Constructed hole using crack cutting edge of radial cracks, Harbin Engineering University Doctoral Dissertation Green's function to establish a definite solution of integral equations to directly solve the dynamic stress intensity factor of the crack tip of m-type. The radial edge of the oval hole and square holes to the numerical results of the dynamic stress intensity factor of the crack tip, the presence of the different shape of the holes on the crack tip dynamic stress intensity factor. 5. Solving arbitrarily shaped hole edge the radial interface crack SH wave scattering and crack tip dynamic stress intensity factor. Press the \Radial side of the oval hole and square holes interface crack tip dynamic stress intensity factor values ??are discussed in terms of different shapes hole, side hole under different wave number, different incident angles and different combination of material constants radial interface crack tip dynamic stress intensity factor to change the law.

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CLC: > Mathematical sciences and chemical > Mechanics > Solid Mechanics > Elasticity
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