Mixed-Mode Fracture Analysis of Functionally Graded Materials Under Thermal Stresses: A New Approach UsingJk-Integral

2007 ◽  
Vol 30 (3) ◽  
pp. 269-296 ◽  
Author(s):  
Serkan Dag
Keyword(s):  
Functionally Graded Materials ◽  
Mixed Mode ◽  
Thermal Stresses ◽  
Fracture Analysis ◽  
Functionally Graded ◽  
Mixed Mode Fracture ◽  
Graded Materials ◽  
New Approach ◽  
Mode Fracture

A New Interaction Integral Method for Mesh-Free Analysis of Cracks in Functionally Graded Materials

2002 ◽  
Author(s):  
B. N. Rao ◽  
S. Rahman
Keyword(s):  
Functionally Graded Materials ◽  
Meshless Method ◽  
Mixed Mode ◽  
Functionally Graded ◽  
Mixed Mode Fracture ◽  
Smooth Functions ◽  
Graded Materials ◽  
Element Free Galerkin ◽  
Mesh Free ◽  
Element Free

This paper presents a Galerkin-based meshless method for calculating stress-intensity factors (SIFs) for a stationary crack in two-dimensional functionally graded materials of arbitrary geometry. The method involves an element-free Galerkin method (EFGM), where the material properties are smooth functions of spatial co-ordinates and two newly developed interaction integrals for mixed-mode fracture analysis. These integrals can also be implemented in conjunction with other numerical methods, such as the finite element method (FEM). Five numerical examples including both mode-I and mixed-mode problems are presented to evaluate the accuracy of SIFs calculated by the proposed EFGM. Comparisons have been made between the SIFs predicted by EFGM and available reference solutions in the literature, generated either analytically or by FEM using various other fracture integrals or analyses. A good agreement is obtained between the results of the proposed meshless method and the reference solutions.

A New Interaction Integral Method for Analysis of Cracks in Orthotropic Functionally Graded Materials

2003 ◽  
Author(s):  
B. N. Rao ◽  
S. Rahman
Keyword(s):  
Finite Element ◽  
Functionally Graded Materials ◽  
Mixed Mode ◽  
Functionally Graded ◽  
Mixed Mode Fracture ◽  
Arbitrary Geometry ◽  
Smooth Functions ◽  
Graded Materials ◽  
Element Discretization ◽  
Element Method

This paper presents two new interaction integrals for calculating stress-intensity factors (SIFs) for a stationary crack in two-dimensional orthotropic functionally graded materials of arbitrary geometry. The method involves the finite element discretization, where the material properties are smooth functions of spatial co-ordinates and two newly developed interaction integrals for mixed-mode fracture analysis. These integrals can also be implemented in conjunction with other numerical methods, such as meshless method, boundary element method, and others. Three numerical examples including both mode-I and mixed-mode problems are presented to evaluate the accuracy of SIFs calculated by the proposed interaction integrals. Comparisons have been made between the SIFs predicted by the proposed interaction integrals and available reference solutions in the literature, generated either analytically or by finite element method using various other fracture integrals or analyses. An excellent agreement is obtained between the results of the proposed interaction integrals and the reference solutions.

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