Probabilistic Fracture Analysis of Functionally Graded Materials—Part I: Uncertainty and Probabilistic Analysis Method

2008 ◽  
Author(s):  
Junho Song ◽  
Tam H. Nguyen ◽  
Glaucio H. Paulino ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
...  
Keyword(s):  
Functionally Graded Materials ◽  
Probabilistic Analysis ◽  
Fracture Analysis ◽  
Functionally Graded ◽  
Analysis Method ◽  
Graded Materials

Probabilistic Fracture Analysis of Functionally Graded Materials—Part II: Implementation and Numerical Examples

2008 ◽  
Author(s):  
Tam H. Nguyen ◽  
Junho Song ◽  
Glaucio H. Paulino ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
...  
Keyword(s):  
Functionally Graded Materials ◽  
Fracture Analysis ◽  
Functionally Graded ◽  
Graded Materials ◽  
Numerical Examples

scholarly journals Hygrothermal Fracture Analysis of Orthotropic Functionally Graded Materials UsingJk-Integral-Based Methods

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Serra Topal ◽  
Serkan Dag
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Functionally Graded Materials ◽  
Fracture Analysis ◽  
Functionally Graded ◽  
Mixed Mode Fracture ◽  
Inclined Crack ◽  
Element Analysis ◽  
Moisture Concentration ◽  
Graded Materials

This paper puts forward two differentJk-integral-based methods, which can be used to perform mixed-mode fracture analysis of orthotropic functionally graded materials subjected to hygrothermal stresses. The first method requires the evaluation of both components ofJk-integral, whereas the second method employs the first componentJ1and the asymptotic crack tip displacement fields. Plane orthotropic hygrothermoelasticity is the basic theory behind theJk-integral formulation, which is carried out by assuming that all material properties are functions of the spatial coordinates. Developed procedures are implemented by means of the finite element method and integrated into a general purpose finite element analysis software. Temperature and specific moisture concentration fields needed in the fracture analyses are also computed through finite element analysis. Each of the developed methods is utilized in conjunction with the superposition technique to calculate the hygrothermal fracture parameters. An inclined crack located in a hygrothermally loaded orthotropic functionally graded layer is examined in parametric analyses. Comparisons of the results generated by the proposed methods do indicate that both methods lead to numerical results of high accuracy and that the developed form of theJk-integral is domain independent. Further results are presented so as to illustrate the influences of crack inclination angle, crack length, and crack location upon the modes I and II stress intensity factors.

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