Mode-I pressurized axisymmetric penny-shaped crack in graded interfacial zone with variable modulus and Poisson's ratio. (August 2020)

• Record Type: Journal Article
• Authors: Chen, X.W.; Yue, Z.Q.
• Is Part Of: Engineering fracture mechanics. Volume 235(2020)
• Publication Date: 2020-08
• Subjects: Penny-shaped crack -- Graded interfacial zone/interlayer -- Functionally graded materials (FGMs) -- Stress intensity factor -- T-Stress -- Leonov-Panasyuk-Dugdale plastic crack -- Complete solution of crack tip fields -- Multilayered model; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2020.107164
• Languages: English
• ISSNs: 0013-7944

Abstract

Graphical abstract: Highlights: Both the gradations of shear modulus and Poisson's ratio in the graded interfacial zone are considered. Exact analytical expressions for the complete fracture responses are derived. Extended solutions to Leonov-Panasyuk-Dugdale plastic crack are also obtained. Graded Poisson's ratio can have considerable effects on the COD, T-Stress and deformation. Abstract: This paper presents an analytical treatment to the fracture problem of a Mode-I pressurized penny-shaped crack in a graded interfacial zone or FGMs interlayer with variable shear modulus and Poisson's ratio. An efficient multilayered model is proposed to address the general form of material inhomogeneity. The mixed boundary value problem is reduced to a Fredhom integral equation of the second kind. The solution procedure is also extended to address the Leonov-Panasyuk-Dugdale plastic crack. Analytical solutions in explicit form are derived for the full stress fields at the crack plane, Mode-I stress intensity factor (SIF), crack opening displacement (COD), T-Stress and plastic zone in terms of the solution of the integral equations. Numerical results of SIF, elastic stress fields, COD, T-Stress and length of plastic zone are presented to quantitively explore the effects of material inhomogeneity on the fracture response. It is demonstrated that the graded Poisson's ratio has non-negligible influences on COD and T-Stress under certain condition. The present solutions can be used to advanced fracture analysis of pressurized crack in engineering composite material.