scholarly journals Three-dimensional mixed-mode stress intensity factors for cracks in functionally graded materials using enriched finite elements

2009 ◽  
Vol 46 (3-4) ◽  
pp. 796-810 ◽  
Author(s):  
Ali O. Ayhan
Keyword(s):  
Stress Intensity ◽  
Finite Elements ◽  
Functionally Graded Materials ◽  
Mixed Mode ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Intensity Factors ◽  
Graded Materials ◽  
Mode Stress ◽  
Enriched Finite Elements

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.

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