On the Partly Bonded Thermoelastic Circular Inhomogeneity

1995 ◽  
Vol 62 (2) ◽  
pp. 535-537 ◽  
Author(s):  
M. A. Kattis ◽  
S. A. Meguid
Keyword(s):  
Stress Intensity Factor ◽  
Crack Problem ◽  
Interfacial Crack ◽  
Thermomechanical Properties ◽  
Complex Stress ◽  
Elastic Plane ◽  
Open Crack ◽  
Linear Temperature ◽  
Complex Stress Intensity Factor ◽  
Circular Inhomogeneity

The thermoelastic problem of an infinite elastic plane containing a partly bonded circular inhomogeneity of different thermomechanical properties is considered. Based upon the solution of a perfectly bonded inhomogeneity established in the current work, the complex stress intensity factor of the interfacial crack problem is obtained for full heat-conductive conditions of an “open” crack and for a linear temperature change at infinity.

Photoelastic Determination of Stress Intensity Factor of an Interfacial Crack in a Bi-material

1993 ◽  
Vol 60 (1) ◽  
pp. 93-100 ◽  
Author(s):  
Hua Lu ◽  
F. P. Chiang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Radial Distance ◽  
Interfacial Crack ◽  
Complex Stress ◽  
Phase Changes ◽  
Complex Vector ◽  
Complex Stress Intensity Factor

The stress intensity factor of an interfacial crack in a bi-material can be represented by a complex vector whose phase changes as a function of r, the radial distance from a crack tip. Two photoelasticity approaches are proposed for the determination of both the magnitude and the phase angle of this complex vector. It is shown that within the K-dominated zone the complex stress intensity factor can be determined at any r and then converted to any other r. The case of an interfacial crack under remote tension is used as an example for the illustration of the proposed techniques.

scholarly journals Stress Intensity Factor for Interface Cracks in Bimaterials Using Complex Variable Meshless Manifold Method

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Hongfen Gao ◽  
Gaofeng Wei
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Complex Variable ◽  
Interfacial Crack ◽  
Dissimilar Materials ◽  
Complex Stress ◽  
Interface Cracks ◽  
Interfacial Cracks ◽  
Crack Problems

This paper describes the application of the complex variable meshless manifold method (CVMMM) to stress intensity factor analyses of structures containing interface cracks between dissimilar materials. A discontinuous function and the near-tip asymptotic displacement functions are added to the CVMMM approximation using the framework of complex variable moving least-squares (CVMLS) approximation. This enables the domain to be modeled by CVMMM without explicitly meshing the crack surfaces. The enriched crack-tip functions are chosen as those that span the asymptotic displacement fields for an interfacial crack. The complex stress intensity factors for bimaterial interfacial cracks were numerically evaluated using the method. Good agreement between the numerical results and the reference solutions for benchmark interfacial crack problems is realized.

Analysis of a Curved Interfacial Crack Between Viscoelastic Foam and Anisotropic Composites Under Antiplane Shear

2003 ◽  
Vol 17 (08n09) ◽  
pp. 1573-1579
Author(s):  
Heoung Jae Chun ◽  
Sang Hyun Park
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Composite Materials ◽  
Intensity Factor ◽  
Hilbert Problem ◽  
Crack Problem ◽  
Interfacial Crack ◽  
Shear Loading ◽  
Antiplane Shear ◽  
Stiffness Coefficients

The analysis of curved interfacial crack between viscoelastic foam and anisotropic composites was conducted under antiplane shear loading applied at infinity. In the analysis, in order to represent viscoelastic behavior of foam, the Kelvin-Maxwell model was incorporated and Laplace transform was applied to treat the viscoelastic characteristics of foam. The curved interfacial crack problem was reduced to a Hilbert problem and a closed-form asymptotic solution was derived. The stress intensity factors in the vicinity of the interfacial crack tip were predicted by considering both anisotropic characteristics of composites and viscoelastic properties of foam. It was found from the analysis that the stress intensity factor was governed by material properties such as shear modulus and relaxation time, and increased with the increase in the curvature as well as the ratio of stiffness coefficients of composite materials. It was also observed that the effect of fiber orientation in the composite materials on the stress intensity factor decreased with the increase in the difference in stiffness coefficients between foam and composite.

Numerical Computation of Complex Stress Intensity Factors of Interface Cracks in Bi-Materials Based on Photoelastic Theory

2013 ◽  
Vol 444-445 ◽  
pp. 50-54
Author(s):  
Peng Cheng Li ◽  
Bang Cheng Yang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Numerical Method ◽  
Fringe Pattern ◽  
Complex Stress ◽  
Theoretical Solution ◽  
Isochromatic Fringe ◽  
Complex Stress Intensity Factor ◽  
Raphson Iteration

This paper presents a new numerical method for obtaining the complex stress intensity factor with an interface crack in bi-materials using photoelastic isochromatic fringe numbers N. The theoretical solution of stress field at the crack tip was deduced from Muskhelishvilis stress function and an undetermined term σ0 which is a function of material properties was added to this theoretical solution. A partial differential iterative equation with fast convergence was formed by applying the photoelastic theory. The complex stress intensity factor K=K1+iK2 and σ0 were obtained by Newton-Raphson iteration method and K domain was discussed. The simulant photoelastic isochromatic fringe pattern could be generated through image processing and numerical calculation according to K and σ0. The simulant isochromatic fringe pattern accords with experimental photoelastic isochromatic fringe pattern, so it is practicable for this numerical method of obtaining the complex stress intensity factor.

Analysis of Stress Intensity Factor for Interfacial Crack in Bonded Dissimilar Plate under Bending

2009 ◽  
Vol 417-418 ◽  
pp. 153-156 ◽  
Author(s):  
Hatsuki Kakuno ◽  
Kazuhiro Oda ◽  
Tetsuya Morisaki
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Interface Crack ◽  
Present Method ◽  
Interfacial Crack ◽  
Complex Stress ◽  
Simple Method ◽  
Single Interface ◽  
Reference Problem

This paper presents the simple method to determine the complex stress intensity factor of interface crack in bi-material plate under bending. In the present method, the stress values at the crack tip calculated by FEM are used and the stress intensity factors of interface crack are evaluated from the ratio of stress values between a given and a reference problems. A single interface crack in an infinite bi-material plate subjected to tension and shear is selected as the reference problem in this study. The accuracy of the present analysis is discussed through the results obtained by body force method. As the result, it is confirmed that the present method is useful for analyzing the interface crack under bending.

Self-Similar Interfacial Crack Growth in Anisotropic Material Under Anti-Plane Shear

1998 ◽  
Vol 14 (1) ◽  
pp. 17-22
Author(s):  
Kuang-Chong Wu
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Release Rate ◽  
Anisotropic Material ◽  
Constant Velocity ◽  
Interfacial Crack ◽  
Plane Shear ◽  
Dynamic Propagation ◽  
Self Similar

ABSTRACTDynamic propagation of a crack along the interface in an anisotropic material subjected to remote uniform anti-plane shear is studied. The crack is assumed to nucleate from an infinitesimal microcrack and expands with a constant velocity. Explicit expressions for the stress intensity factor and the energy release rate are derived.

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