Closed-Form Solutions for a Mode-III Moving Interface Crack at the Interface of Two Bonded Dissimilar Orthotropic Elastic Layers | Zendy

Brij Mohan Singh | Zendy; Jon Rokne | Zendy; Ranjit S. Dhaliwal | Zendy

Open Access

Closed-Form Solutions for a Mode-III Moving Interface Crack at the Interface of Two Bonded Dissimilar Orthotropic Elastic Layers

Author(s) -

Brij Mohan Singh,

Jon Rokne,

Ranjit S. Dhaliwal

Publication year - 2008

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2008/930820

Subject(s) - orthotropic material , antiplane shear , tearing , materials science , shear (geology) , enhanced data rates for gsm evolution , interface (matter) , composite material , stress intensity factor , structural engineering , geometry , fracture mechanics , mechanics , mathematical analysis , mathematics , physics , engineering , telecommunications , capillary number , finite element method , capillary action

An integral transform technique is used to solve the elastodynamic problem of a crack of fixed length propagating at a constant speed at the interface of two bonded dissimilar orthotropic layers of equal thickness. Two cases of practical importance are investigated. Firstly, the lateral boundaries of the layers are clamped and displaced in equal and opposite directions to produce antiplane shear resulting in a tearing motion along the leading edge of the crack, and secondly, the lateral boundaries of the layers are subjected to shear stresses. The analytic solution for a semi-infinite crack at the interface of two bonded dissimilar orthotropic layers has been derived. Closed-form expressions are obtained for stressing the intensity factor and other physical quantities in all cases.

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