Computation of Thermal Stress Intensity Factors for Bimaterial Interface Cracks Using Domain Integral Method

2009 ◽  
Vol 76 (4) ◽  
Author(s):  
Ratnesh Khandelwal ◽  
J. M. Chandra Kishen
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Thermal Loading ◽  
Thermal Stresses ◽  
Body Force ◽  
Bimaterial Interface ◽  
Intensity Factors ◽  
Linear Elastic ◽  
Domain Integral ◽  
Bimaterial Interface Crack

The concept of domain integral used extensively for J integral has been applied in this work for the formulation of J2 integral for linear elastic bimaterial body containing a crack at the interface and subjected to thermal loading. It is shown that, in the presence of thermal stresses, the Jk domain integral over a closed path, which does not enclose singularities, is a function of temperature and body force. A method is proposed to compute the stress intensity factors for bimaterial interface crack subjected to thermal loading by combining this domain integral with the Jk integral. The proposed method is validated by solving standard problems with known solutions.

Representations of Stress Intensity Factors by Path-Independent Integrals

1989 ◽  
Vol 56 (4) ◽  
pp. 780-785 ◽  
Author(s):  
Kuang-Chong Wu
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Body Force ◽  
Anisotropic Body ◽  
Crack Tip ◽  
Intensity Factors ◽  
Elastic Materials ◽  
Linear Elastic ◽  
Finite Crack

Stress intensity factors are represented by path independent integrals for linear elastic materials. Two types of representation are given. The first type of integrals are expressed by integration over contours surrounding a crack tip. Those of the second type are integrated over contours enclosing a finite crack. The path independent integrals are applied to determine the stress intensity factors due to a body force and a dislocation for a finite crack in an infinite anisotropic body.

Transient thermal stress intensity factors of bimaterial interface cracks using refined three-fringe photoelasticity

2009 ◽  
Vol 44 (6) ◽  
pp. 427-438 ◽  
Author(s):  
B Neethi Simon ◽  
R G R Prasath ◽  
K Ramesh
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Thermal Stresses ◽  
Bimaterial Interface ◽  
Intensity Factors ◽  
Fringe Order ◽  
Colour Image ◽  
Opening Mode ◽  
Single Colour ◽  
Transient Thermal

Transient thermal stresses of a bimaterial specimen with interface edge cracks subjected to heating along an edge is analysed by refined three-fringe photoelasticity (RTFP). Whole-field, noise-free, fringe order estimation using a single colour image is made possible using RTFP combined with colour adaptation. The stress intensity factors (SIFs) of the interface crack are determined through a multiparameter overdeterministic system of equations by a least-squares approach using experimental data collected automatically. The transient SIFs are found to peak to a higher value than in steady state, and the opening mode is found to be dominant. An increase in thermal load causes the crack to propagate, and this is easily visualized on the basis of quantitative fringe order data available for the whole field. The SIFs of a propagating crack are found to be low. The study shows that the crack propagates easily when the opening mode is dominant.

Part-Elliptical Cracks Emanating From Open and Loaded Holes in Plates

1979 ◽  
Vol 101 (1) ◽  
pp. 12-17 ◽  
Author(s):  
T. E. Kullgren ◽  
F. W. Smith
Keyword(s):  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Opening ◽  
Plate Thickness ◽  
Hole Diameter ◽  
Elastic Analysis ◽  
Intensity Factors ◽  
Linear Elastic ◽  
Elliptical Cracks

A linear elastic analysis using the finite element-alternating method is conducted for problems of single semi-elliptical and double quarter-elliptical cracks near fastener holes. Mode-one stress intensity factors are presented along the crack periphery for cases of open and loaded holes and crack opening displacements are calculated. Results are shown for a variety of crack geometries and loading conditions and for two ratios of hole diameter to plate thickness.

Three Dimensional Modeling of Inclined Surface Cracks in FGM Coatings

2009 ◽  
Vol 631-632 ◽  
pp. 109-114
Author(s):  
Sadik Kosker ◽  
Serkan Dag ◽  
Boray Yildirim
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Thermal Stresses ◽  
Three Dimensional ◽  
Transient Behavior ◽  
Correlation Technique ◽  
Mixed Mode Fracture ◽  
Intensity Factors ◽  
Parametric Analyses

This study presents a three dimensional finite element method for mixed-mode fracture analysis of an FGM coating-bond coat-substrate structure. The FGM coating is assumed to contain an inclined semi-elliptical crack at the free surface. The trilayer structure is examined under the effect of transient thermal stresses. Strain singularity around the crack front is simulated by utilizing collapsed wedge-shaped singular elements. The modes I, II and III stress intensity factors are computed by applying the displacement correlation technique and presented as a function of time. Four different FGM coating types are examined in the parametric analyses which are metal-rich, ceramic-rich, linear variation and homogeneous coatings. The results provided illustrate the influences of the FGM coating type and crack inclination angle on the transient behavior of the mixed-mode stress intensity factors.

Stress Intensity Factor Evaluation of Anisotropic Cracked Sheets under Dynamic Loads Using Energy Domain Integral

2010 ◽  
Vol 454 ◽  
pp. 97-112
Author(s):  
M. Mauler ◽  
P. Sollero ◽  
E.L. Albuquerque
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Dynamic Loads ◽  
Intensity Factors ◽  
Dynamic Stress Intensity Factors ◽  
Domain Integral ◽  
Energy Domain ◽  
Factor Evaluation ◽  
Boundary Elements Method

The aim of this paper is to present a procedure to perform the evaluation of dynamic stress intensity factors of composite cracked sheets. The numerical method that is used to perform the modeling of the crack is the dual boundary element method. The inertial effects are modeled using the dual reciprocity boundary elements method. The Houbolt Method is used to integrate time, and the energy domain integral is used to evaluate stress intensity factors.

scholarly journals Numerical Analysis for Cracked Functionally Graded Materials by Finite Block Method

2017 ◽  
Vol 754 ◽  
pp. 145-148
Author(s):  
J. Li ◽  
C. Shi ◽  
Pi Hua Wen
Keyword(s):  
Stress Intensity ◽  
Functionally Graded Materials ◽  
Stress Intensity Factors ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Intensity Factors ◽  
Block Method ◽  
Graded Materials ◽  
Linear Elastic ◽  
Derivative Matrix

The finite block method (FBM) is developed to determine stress intensity factors with orthotropic functionally graded materials under static and dynamic loads in this paper. The higher order derivative matrix for two and three dimensional problems can be constructed directly. For linear elastic fracture mechanics, the COD and J-integral techniques to determine the stress intensity factors are applied. Several examples are given and comparisons have been made with both analytical solutions and the finite element method in order to demonstrate the accuracy and convergence of the finite block method.

A Green’s Function for the Stress-Intensity Factors of Edge Cracks and Its Application to Thermal Stresses

1969 ◽  
Vol 91 (4) ◽  
pp. 618-624 ◽  
Author(s):  
A. F. Emery ◽  
G. E. Walker ◽  
J. A. Williams
Keyword(s):  
Stress Intensity ◽  
Green’S Function ◽  
Green's Function ◽  
Stress Intensity Factors ◽  
Thermal Stresses ◽  
Rectangular Plates ◽  
Intensity Factors ◽  
Edge Cracks ◽  
Predicted Values ◽  
Transient Thermal

A Green’s function for the computation of stress-intensity factors for edge cracks in rectangular plates is given for any distribution of stress in the uncracked plate which is tensile over the crack length. The function is used to compute stress intensity factors for transient thermal stresses produced by sudden cooling of one edge. Experimentally measured stresses and stress-intensity factors are given and shown to be in good agreement with the predicted values.

Sign in / Sign up

Export Citation Format

Share Document