scholarly journals Computation of SIFs for cracked FGMs under mechanical and thermal loadings

2020 ◽  
Vol 40 (1) ◽  
pp. 12-19
Author(s):  
Yazid Ait Ferhat ◽  
Abdelkeder Boulenouar
Keyword(s):  
Material Properties ◽  
Mixed Mode ◽  
Thermal Loading ◽  
Parametric Design ◽  
Functionally Graded ◽  
Mixed Mode Fracture ◽  
Graded Materials ◽  
Ansys Parametric Design Language ◽  
Good Agreement ◽  
Displacement Extrapolation

Abstract The objective of this study is to present a numerical modeling of mixed-mode fracture in isotropic functionally graded materials (FGMs), under mechanical and thermal loading conditions. In this paper, a modified displacement extrapolation technique (DET) was proposed to calculate the stress intensity factor (SIFs) for isotropic FGMs. Using the Ansys Parametric Design Language APDL, the continuous variations of the material properties are incorporated by specified parameters at the centroid of each element. Three numerical examples are presented to evaluate the accuracy of SIFs calculated by the proposed method. Comparisons have been made between the SIFs predicted by the DET and the available reference solutions in the current literature. A good agreement is obtained between the results of the DET and the reference solutions.

Generalized displacement correlation method for mechanical and thermal fracture of FGM

2020 ◽  
Vol 09 (01) ◽  
pp. 2050004
Author(s):  
Y. Ait Ferhat ◽  
A. Boulenouar ◽  
N. Benamara ◽  
L. Benabou
Keyword(s):  
Present Method ◽  
Thermal Loading ◽  
Parametric Design ◽  
Correlation Method ◽  
Functionally Graded ◽  
Mixed Mode Fracture ◽  
Graded Materials ◽  
Displacement Based ◽  
Ansys Parametric Design Language ◽  
Good Agreement

The main objective of this work is to present a numerical modeling of mixed-mode fracture in isotropic functionally graded materials (FGMs), under mechanical and thermal loading conditions. In this paper, the displacement-based method, termed the generalized displacement correlation (GDC) method, is investigated for estimating stress intensity factor (SIF). Using the ANSYS Parametric Design Language (APDL), the continuous variations of the material properties are incorporated by specified parameters at the centroid of each element. This paper presents various numerical examples in which the accuracy of the present method is verified. Comparisons have been made between the SIFs predicted by the GDC method and the available reference solutions in the current literature. A good agreement is achieved between the results of the GDC method and the reference solutions.

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.

Effect of Thickness Profile and FG Function on Rotating Disks Under Thermal and Mechanical Loading

2015 ◽  
Vol 32 (1) ◽  
pp. 35-46 ◽  
Author(s):  
M. Jabbari ◽  
M. Ghannad ◽  
M. Z. Nejad
Keyword(s):  
Finite Element Method ◽  
Material Properties ◽  
Functionally Graded ◽  
Rotating Disks ◽  
Graded Materials ◽  
Disk Thickness ◽  
Thermoelastic Analysis ◽  
Thickness Profile ◽  
Different Thickness ◽  
Good Agreement

AbstractIn this paper, a thermoelastic analysis of rotating disks with different thickness profiles made of functionally graded materials (FGMs) subjected to internal pressure is presented. Material properties (except Poisson’s ratio) and disk thickness profile are described by means of two functions namely power and exponential function. A comparative study of thermoelastic analysis is given for material properties and disk thickness profiles. The results of are compared with those obtained by finite element method (FEM) that shows good agreement. The effect of thickness profiles, gradient parameters and angular velocity on the thermoelastic performance of the disk have been studied.

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