Elasto-Plastic Analysis of 3-D Inner Cracks Using the Finite Element Alternating Method

2007 ◽  
Vol 345-346 ◽  
pp. 881-884
Author(s):  
Sang Yun Park ◽  
Jai Hak Park
Keyword(s):  
Finite Element ◽  
Stress Fields ◽  
The Finite Element Method ◽  
Infinite Body ◽  
Alternating Method ◽  
Crack Problems ◽  
Finite Body ◽  
Initial Stress Method ◽  
Galerkin Boundary Element Method ◽  
Element Method

The finite element alternating method (FEAM) was extended to obtain fracture mechanics parameters and elasto-plastic stress fields for 3-D inner cracks. For solving a problem of a 3-D finite body with cracks, the FEAM alternates independently the finite element method (FEM) solution for the uncracked body and the solution for the crack in an infinite body. As the required solution for a crack in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear was used. For elasto-plastic numerical analysis, the initial stress method proposed by Zienkiewicz and co-workers and the iteration procedure proposed by Nikishkov and Atluri were used after modification. The extended FEAM was examined through comparing with the results of commercial FEM program for several example 3-D crack problems.

Finite Element Alternating Method for Solving Two-Dimensional Cracks Embedded in a Bimaterial Body

2006 ◽  
Vol 326-328 ◽  
pp. 945-948
Author(s):  
Sang Yun Park ◽  
Jai Hak Park
Keyword(s):  
Finite Element ◽  
Superposition Principle ◽  
Stress Singularity ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Infinite Body ◽  
Element Analysis ◽  
Alternating Method ◽  
Crack Problems ◽  
The Finite Element Analysis

The finite element alternating method based on the superposition principle has been known as an effective method to obtain the stress intensity factors for general multiple collinear or curvilinear cracks in an isotropic plate. In this paper the method is extended further to solve two-dimensional cracks embedded in a bimaterial plate. The main advantage of this method is that it is not necessary to make crack meshes considering the stress singularity at the crack tip. The solution of the developed code is obtained from an iteration procedure, which alternates independently between the finite element method solution for an uncracked body and the analytical solution for cracks in an infinite body. In order to check the validity of the method, several crack problems of a bimaterial body are solved and compared with the results obtained from the finite element analysis.

Efficient Analysis of 3D Mixed-Mode Cracks of a Pressure Vessel Based on Schwartz-Neuman Alternating Method

2016 ◽  
Vol 853 ◽  
pp. 266-271
Author(s):  
Qing Du ◽  
Guang Yu Shi
Keyword(s):  
Pressure Vessel ◽  
Mixed Mode ◽  
Computational Models ◽  
Surface Cracks ◽  
Infinite Body ◽  
Alternating Method ◽  
Analysis Models ◽  
Galerkin Boundary Element Method ◽  
Reactor Pressure ◽  
Element Method

The Schwartz-Neuman alternating method is employed to analyze 3D cracks in structural components with complicated geometries.The SIFs of Mode I, II and III for the mixed-mode cracks under complicated stress state are obtained from the alternating computing scheme between finite element method solution for the uncracked body and the symmetric Galerkin boundary element method solution for the crack in an infinite body. The SIFs of the different surface cracks postulated at a regular pipe and elliptical surface cracks at the nozzle-cylinder intersection of a typical reactor pressure vessel are investigated by using the Schwartz-Neuman alternating method. The comparison with other analysis models and results reported in the literature shows that the Schwartz-Neuman alternating method can efficiently and accurately evaluate SIFs of surface cracks of different shapes and depths with much smaller computational models, which indicates that the Schwartz-Neuman alternating method is an efficient method in the evaluation of the SIFs of 3D cracks.

Crack Growth Simulation of Arbitrarily Shaped 3D Cracks Using Finite Element Alternating Method

2005 ◽  
Vol 297-300 ◽  
pp. 1056-1061
Author(s):  
Tae Soon Kim ◽  
Sang Yun Park ◽  
Jai Hak Park
Keyword(s):  
Finite Element ◽  
Boundary Element Method ◽  
Analytical Solution ◽  
Crack Growth ◽  
Three Dimensional ◽  
Infinite Body ◽  
Growth Simulation ◽  
Alternating Method ◽  
Crack Growth Simulation ◽  
Galerkin Boundary Element Method

In order to simulate the growth of arbitrarily shaped three dimensional cracks, the finite element alternating method is extended. As the required analytical solution for a crack in an infinite body, the symmetric Galerkin boundary element method formulated by Li and Mear is used. In the study, a crack is modeled as distribution of displacement discontinuities, and the governing equation is formulated as singularity-reduced integral equations. With the proposed method several example problems for three dimensional cracks in an infinite solid, as well as their growth under fatigue, are solved and the accuracy and efficiency of the method are demonstrated.

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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