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The 3-D weight functions for a quasi-static planar crack

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Al-Falou, A. A. and Ball, Robin. (2000) The 3-D weight functions for a quasi-static planar crack. International Journal of Solids and Structures, Vol.37 (No.37). pp. 5079-5096. ISSN 0020-7683

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Official URL: http://dx.doi.org/10.1016/S0020-7683(99)00061-X

Abstract

We explicitly evaluate the 3-D weight functions for a planar crack in an isotropic, homogeneous material; these give the full stress intensity factors induced by a static point force applied at an arbitrary position. If we Fourier decompose the 3-D weight functions with respect to the z variable then each Fourier mode satisfies the homogeneous equations of elasticity (except at the crack tip) and the boundary conditions on the crack face. Each Fourier mode diverges like r(-1/2) near the crack tip and decays exponentially for non-zero k(z). It is proved that these necessary conditions, which hold everywhere in the elastic material excluding the crack tip, are also sufficient to determine the 3-D weight functions. In particular, the 3-D weight functions can be calculated without considering an explicit loading problem. (C) 2000 Elsevier Science Ltd. All rights reserved.

Item Type:

Journal Article

Subjects:

Q Science > QC Physics
T Technology > TA Engineering (General). Civil engineering (General)

Divisions:

Faculty of Science > Physics

Library of Congress Subject Headings (LCSH):

Fracture mechanics

Journal or Publication Title:

International Journal of Solids and Structures

Publisher:

Pergamon

ISSN:

0020-7683

Official Date:

September 2000

Dates:

Date	Event
September 2000	Published

Volume:

Vol.37

Number:

No.37

Number of Pages:

Page Range:

pp. 5079-5096

Identification Number:

10.1016/S0020-7683(99)00061-X

Status:

Peer Reviewed

Publication Status:

Published

References:

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