An asymptotic analysis of crack initiation from an interfacial zone surrounding the circular inclusion

2019 ◽  
Vol 208 ◽  
pp. 479-497 ◽  
Author(s):  
T. Profant ◽  
M. Hrstka ◽  
J. Klusák
Keyword(s):  
Crack Initiation ◽  
Asymptotic Analysis ◽  
Circular Inclusion ◽  
Interfacial Zone

scholarly journals Microcrack interaction with circular inclusion and interfacial zone

2019 ◽  
Vol 13 (48) ◽  
pp. 503-512
Author(s):  
Tomas Profant ◽  
Miroslav Hrstka ◽  
Jan Klusak
Keyword(s):  
Circular Inclusion ◽  
Interfacial Zone ◽  
Microcrack Interaction

Numerical simulation of the interaction between a crack and an inclusion

2018 ◽  
Vol 14 (2) ◽  
pp. 339-359
Author(s):  
Zhiyong Wang ◽  
Jing Gu ◽  
Cheng Hou ◽  
Ming Song
Keyword(s):  
Crack Initiation ◽  
Mixed Mode ◽  
Process Zone ◽  
Circular Inclusion ◽  
Content Type ◽  
Stress Criterion ◽  
Replacement Method ◽  
Maximum Tangential Stress Criterion ◽  
Crack Initiation Angle ◽  
Material Mismatch

Purpose The purpose of this paper is to propose the interaction integral method combing with a XFEM-based local mesh replacement method to evaluate both the stress intensity factors (SIFs) and T-stress at the crack tip near a circular inclusion. Design/methodology/approach Special attention is pay to the effect of T-stress on crack initiation angle in 2D composite medium. The generalized maximum tangential stress criterion is employed during the simulation which simultaneously involves the effects of the mixed-mode SIFs, the T-stress and a physical length scale rc (the size of the fracture process zone). Findings It is shown that T-stress could affect the crack initiation angle significantly for mixed-mode conditions. Varies types of material mismatch are also considered and their influences on T-stress are given quantitatively. Originality/value The proposed numerical method allows a considerable flexibility for such problems and provides a basic framework for quasi-static crack growth in materials containing complex interfaces.

scholarly journals A Circular Inclusion and Two Radial Coaxial Cracks with Contacting Faces in a Piecewise Homogeneous Isotropic Plate Under Bending

2020 ◽  
Vol 14 (1) ◽  
pp. 16-21
Author(s):  
Heorgij Sulym ◽  
Viktor Opanasovych ◽  
Ivan Zvizlo ◽  
Roman Seliverstov ◽  
Oksana Bilash
Keyword(s):  
Isotropic Plate ◽  
Singular Integral Equations ◽  
Circular Inclusion ◽  
Contact Forces ◽  
Interfacial Zone ◽  
Algebraic Equations ◽  
Linear Algebraic Equations ◽  
Radial Cracks ◽  
Crack Faces ◽  
Task Parameters

AbstractThe bending problem of an infinite, piecewise homogeneous, isotropic plate with circular interfacial zone and two coaxial radial cracks is solved on the assumption of crack closure along a line on the plate surface. Using the theory of functions of a complex variable, complex potentials and a superposition of plane problem of the elasticity theory and plate bending problem, the solution is obtained in the form of a system of singular integral equations, which is numerically solved after reducing to a system of linear algebraic equations by the mechanical quadrature method. Numerical results are presented for the forces and moments intensity factors, contact forces between crack faces and critical load for various geometrical and mechanical task parameters.

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