Hits:

Indexed by:期刊论文

Date of Publication:2017-05-01

Journal:INTERNATIONAL JOURNAL OF FRACTURE

Included Journals:SCIE、EI

Volume:205

Issue:1

Page Number:23-36

ISSN No.:0376-9429

Key Words:Inclined crack; bi-material interface; Reissner plate; Stress singularity; Eigenfunction expansion method

Abstract:On the basis of Reissner's plate theory, the stress singularities at the tip of an arbitrarily inclined semiinfinite crack terminating at the interface of two dissimilar materials are investigated in the present paper. Using the eigenfunction expansion method, the eigenequation of the corresponding problem is derived explicitly by directly solving the governing equations of Reissner's plate theory in terms of three generalized displacement components. In this paper, the focus is on the calculation of the singularity order as a fundamental quantity in fracture mechanics. The singularity orders of the moments and shear force at the crack tip are determined by the dominant eigenvalues whose real parts lie between 0 and 1. The influences of the bi-material parameters and the crack inclination angle on the moment and shear force singularity orders are discussed in detail. Specifically, the variations of the shear force singularity order with the bi-material parameter and the crack inclination angle are examined in detail. It is proved that the shear force singularity order is a completely monotonic function of the bi-material parameter and the inclination angle. Some numerical results are given in order to prove the validity of the present study.