Semi-analytical solution for mode I penny-shaped crack in a soft inhomogeneous layer

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:53

Article

Aizikovich, S. M.^1,2  Galybin, A. N.³  Krenev, L. I.¹ 

[1] Don State Tech Univ, Res & Educ Ctr Mat, Rostov Na Donu 344000, Russia

[2] Southern Fed Univ, Vorovich Res Inst Mech & Appl Math, Rostov Na Donu 344090, Russia

[3] Russian Acad Sci, Schmidt Inst Phys Earth IPE, Moscow 123995, Russia

关键词: Mode I penny-shaped crack;    Elastic inhomogeneous layer;    Young's modulus variation;    Stress intensity factor;    Approximate analytical solution;    Axisymmetric problem;    Elastostatics;   

DOI  :  10.1016/j.ijsolstr.2014.10.010

来源: Elsevier

【 摘 要 】

An axisymmetric elastostatics problem for a penny-shaped crack placed in the middle of a inhomogeneous (FGM) elastic layer is considered. It is assumed that the elastic modulus of the layer varies through the thickness symmetrically with respect to the crack plane. Several specific distributions of the moduli variations have been analysed. We report a semi-analytical approximate solution for the determination of the stress intensity factor for the distributions considered. The obtained solution is accurate enough and can be applied in engineering applications for the analysis of crack propagation in FGM and hydrofracture growth in elastic reservoirs. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

Free