A Mode I Crack Problem for a Thermoelastic Fibre-Reinforced Anisotropic Material Using Finite Element Method

2018 ◽  
Vol 21 (2) ◽  
pp. 135-139 ◽  
Author(s):  
I. A. Abbas ◽  
S. M. J. Razavi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Anisotropic Material ◽  
Crack Problem ◽  
Mode I ◽  
Mode I Crack ◽  
Element Method

Optimization Algorithm of Crack Initial Angle Using the Extended Finite Element Method

2013 ◽  
Vol 444-445 ◽  
pp. 77-84 ◽  
Author(s):  
Yi Su ◽  
Sheng Nan Wang ◽  
Yong En Du
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Optimization Algorithm ◽  
Extended Finite Element Method ◽  
Crack Problem ◽  
Cholesky Factorization ◽  
Computational Time ◽  
Extended Finite Element ◽  
Element Method

The extended finite element method (XFEM) allows the entire crack to be represented independently from the mesh, which means re-mesh is unnecessary in model crack growth, reduces the computational time drastically. However, fatigue crack growth simulation has been computationally challenged by lots of analog computations in crack growth. Therefore, a new reanalysis algorithm based on incremental Cholesky factorization is derived. In this paper, we consider a variant of XFEM in which an exponent discontinuous function is used to simulate the crack through unit. Then the corresponding formula of XFEM with inclusion and crack problem with a new reanalysis algorithm is derived. In the end, we use the new reanalysis algorithm and an optimization algorithm to predict the angle of crack initiation from a hole in a plate with inclusion. It shows that the algorithm is effective.

Accurate Determination of Stress Intensity Factor for Interface Crack by Finite Element Method

2007 ◽  
Vol 353-358 ◽  
pp. 3124-3127 ◽  
Author(s):  
Kazuhiro Oda ◽  
Naoaki Noda ◽  
Satya N. Atluri
Keyword(s):  
Finite Element Method ◽  
Stress Intensity Factor ◽  
Finite Element ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Interface Crack ◽  
Present Method ◽  
Crack Problem ◽  
Simple Method ◽  
Element Method

This paper presents the simple method to determine the complex stress intensity factor of interface crack problem by the finite element method. The proportional method is extended to the interface crack problem. In the present method, the stress values at the crack tip calculated by FEM are used and the stress intensity factors of interface crack are evaluated from the ratio of stress values between a given and a reference problems. A single interface crack in an infinite bi-material plate subjected to tension and shear is selected as the reference problem in this study. The accuracy of the present analysis is discussed through the results obtained by other methods. As the result, it is confirmed that the present method is useful for analyzing the interface crack problem.

Calculation on Crack Parameter by Extended Finite Element Method

2014 ◽  
Vol 716-717 ◽  
pp. 751-754
Author(s):  
Bo Zhou ◽  
Dong Xue Wang ◽  
Shi Feng Xue
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
High Efficiency ◽  
Simulation Method ◽  
Mode I ◽  
The Finite Element Method ◽  
Extended Finite Element ◽  
Discontinuous Problems ◽  
Element Method

As a new numerical simulation method, the extended finite element method can deal with the discontinuous problems more effectively than the finite element method. In this paper, the basic theory about the extended finite element method is introduced briefly. The stress intensity factor of the crack of mode I is numerically calculated based on the extended finite element method. The numerical calculations show that the extended finite element method is an approach with high-efficiency for the problems with crack.

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