scholarly journals The Effect of the Size and Position of the Crack on the Normalized Stress Intensity Factor

2020 ◽  
Vol 2 (01) ◽  
pp. 1-8
Author(s):  
Mostefa BENDOUBA ◽  
Abdelkader DJEBLI ◽  
Abdelghani BALTACH ◽  
Ali BENHAMENA ◽  
Amel BOUKHLIF ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Size ◽  
Elastic Behavior ◽  
Intensity Factors ◽  
Nodal Displacement ◽  
Displacement Extrapolation Method ◽  
Calculation Code ◽  
Displacement Extrapolation

In this work, finite element method was used to determine the normalized stress intensity factors for different configurations. For this, a 2-D numerical analysis with elastic behavior was undertaken in pure I mode. This simulation was carried out using a numerical calculation code. On the basis of the numerical results obtained from the different models treated, there is a good correlation between the nodal displacement extrapolation method (DEM) and the energy method based on the Rice integral (J) to evaluate the normalized stress intensity factors and this for different crack lengths. For each configuration, the increase in the crack size causes an amplification of normalized intensity stresses fators.

scholarly journals Calculation of Stress Intensity Factor using Displacement Extrapolation Method in Peridynamic Framework

2020 ◽  
Vol 36 (2) ◽  
pp. 235-243
Author(s):  
N. Zhu ◽  
E. Oterkus
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Extrapolation Method ◽  
Benchmark Problems ◽  
Theory Approach ◽  
Intensity Factors ◽  
Element Analysis ◽  
Peridynamic Theory ◽  
Displacement Extrapolation Method ◽  
Displacement Extrapolation

ABSTRACTThis paper introduces a new approach to calculate stress intensity factors based on a combination of Displacement Extrapolation Method and Peridynamic Theory. After obtaining the displacement field from Peridynamic Theory, by appropriately selecting nodes at the crack tip region and their displacements yield stress intensity factors at the crack tips. To demonstrate the capability of the proposed approach, three different benchmark problems are considered including plate with a central crack, plate with an edge crack and plate with a slanted crack. Results evaluated from the current approach are compared against analytical and finite element analysis results, and good agreement is obtained between three different approaches. This shows that coupled Displacement Extrapolation Method and Peridynamic Theory approach can be an alternative method to calculate stress intensity factors.

A Coupled SBFEM-FEM Approach for Evaluating Stress Intensity Factors

2013 ◽  
Vol 353-356 ◽  
pp. 3369-3377 ◽  
Author(s):  
Ming Guang Shi ◽  
Chong Ming Song ◽  
Hong Zhong ◽  
Yan Jie Xu ◽  
Chu Han Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Complex Geometry ◽  
Stress Singularity ◽  
Intensity Factors ◽  
Finite Element Software ◽  
Scaled Boundary Finite Element ◽  
Element Method

A coupled method between the Scaled Boundary Finite Element Method (SBFEM) and Finite Element Method (FEM) for evaluating the Stress Intensity Factors (SIFs) is presented and achieved on the platform of the commercial finite element software ABAQUS by using Python as the programming language. Automatic transformation of the finite elements around a singular point to a scaled boundary finite element subdomain is realized. This method combines the high accuracy of the SBFEM in computing the SIFs with the ability to handle material nonlinearity as well as powerful mesh generation and post processing ability of commercial FEM software. The validity and accuracy of the method is verified by analysis of several benchmark problems. The coupled algorithm shows a good converging performance, and with minimum additional treatment can be able to handle more problems that cannot be solved by either SBFEM or FEM itself. For fracture problems, it proposes an efficient way to represent stress singularity for problems with complex geometry, loading condition or certain nonlinearity.

Sensitivity of Stress Intensity Factors with Respect to the Crack Geometry by the Scaled Boundary Finite Element Method

2014 ◽  
Vol 553 ◽  
pp. 737-742
Author(s):  
Morsaleen Shehzad Chowdhury ◽  
Chong Ming Song ◽  
Wei Gao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Shape Sensitivity ◽  
Intensity Factors ◽  
Element Discretization ◽  
Crack Geometry ◽  
Scaled Boundary Finite Element ◽  
Element Method

The sensitivity of the stress intensity factors (SIFs) with respect to the crack geometry, shape sensitivity, plays an important role in the reliability analysis of cracked structures and many other fracture mechanics applications. This paper presents a numerical technique to evaluate the shape sensitivity using the scaled boundary finite element method. It combines the finite element formulations with the boundary element discretization. The crack surface remains meshless. The variation in crack geometry is modelled by applying direct differentiation with respect to the crack geometry, without remeshing. The sensitivity of the stress modes are not required for the calculation of the sensitivity of the SIFs. A numerical example demonstrates the efficiency, accuracy and simplicity of the technique.

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