scholarly journals Crack Growth Modelling in Functionally Graded Materials by Mesh-Free Method

2012 ◽  
Vol 8 (3) ◽  
pp. 223-248
Author(s):  
P.H. Wen ◽  
M.H. Aliabadi
Keyword(s):  
Crack Growth ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Growth Modelling ◽  
Graded Materials ◽  
Mesh Free ◽  
Mesh Free Method

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.

Transient Elastodynamic Crack Growth in Functionally Graded Materials

2008 ◽  
Author(s):  
Vijaya B. Chalivendra ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
Robert H. Dodds ◽  
Fernando A. Rochinha ◽  
...  
Keyword(s):  
Crack Growth ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Graded Materials

scholarly journals Mixed-Mode Crack Propagation in Functionally Graded Materials

2005 ◽  
Vol 492-493 ◽  
pp. 409-414 ◽  
Author(s):  
Jeong Ho Kim ◽  
Glaucio H. Paulino
Keyword(s):  
Numerical Simulation ◽  
Crack Propagation ◽  
Crack Growth ◽  
Functionally Graded Materials ◽  
Mixed Mode ◽  
Fracture Criterion ◽  
Functionally Graded ◽  
Graded Materials ◽  
Mixed Mode Crack ◽  
Specific Fracture

This paper presents numerical simulation of mixed-mode crack propagation in functionally graded materials by means of a remeshing algorithm in conjunction with the finite element method. Each step of crack growth simulation consists of the calculation of the mixedmode stress intensity factors by means of a non-equilibrium formulation of the interaction integral method, determination of the crack growth direction based on a specific fracture criterion, and local automatic remeshing along the crack path. A specific fracture criterion is tailored for FGMs based on the assumption of local homogenization of asymptotic crack-tip fields in FGMs. The present approach uses a user-defined crack increment at the beginning of the simulation. Crack trajectories obtained by the present numerical simulation are compared with available experimental results.

Fatigue Crack Growth Analysis Models for Functionally Graded Materials

2008 ◽  
Author(s):  
Serkan Dag ◽  
Baris Sabuncuoglu ◽  
Bora Yildirim ◽  
Glaucio H. Paulino ◽  
Marek-Jerzy Pindera ◽  
...  
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Functionally Graded Materials ◽  
Growth Analysis ◽  
Functionally Graded ◽  
Graded Materials ◽  
Analysis Models
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