The finite element method by employing the singular element with concordant displacement at the crack tip

1984 ◽  
Vol 19 (5) ◽  
pp. 959-972 ◽  
Author(s):  
Li Yao-Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Tip ◽  
The Finite Element Method ◽  
Singular Element ◽  
Element Method

Application of the Williams Expansion near a Bi-Material Interface

2017 ◽  
Vol 754 ◽  
pp. 206-209 ◽  
Author(s):  
Lucie Malíková ◽  
Stanislav Seitl
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Tip ◽  
Higher Order ◽  
Simplified Model ◽  
The Finite Element Method ◽  
Material Interface ◽  
Higher Order Terms ◽  
Element Method ◽  
Crack Tip Stress

A simplified model of a crack approaching a bi-material interface is modelled by means of the finite element method in order to investigate the significance of the higher-order terms of the Williams expansion for the proper approximation of the opening crack-tip stress near the bi-material interface. The discussion on results is presented and the importance of the higher-order terms proved.

scholarly journals APPLICATION OF QUARTER-POINT SINGULAR ELEMENT IN FINITE ELEMENT METHOD TO SIMULATION OF CRACK TIP BEHAVIOR

2010 ◽  
Vol 13 (2) ◽  
pp. 5-13
Author(s):  
Thien Tich Truong ◽  
Bang Kim Tran
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Crack Tip ◽  
Singular Element ◽  
Displacement Fields ◽  
Mathematical Background ◽  
Stress And Displacement Fields ◽  
Calculation Results ◽  
Element Method

Fracture mechanics is a new branch in engineering. The development of modern mathematical background with different numerical methods has supported fracture mechanics to solve many complex fracture problems in practice effectively. This article introduces the application of quarter - point singular element in finite element method to simulate crack tip behavior in two dimensional problems. The ANSYS and FRANC2D programs are used to compute stress intensity factor, simulate the stress and displacement fields near crack tip and simulate crack propagation. The calculation results are compared with analytical results and the results in other articles.

A New Crack Propagation Algorithm Combined with the Finite Element Method

2020 ◽  
Vol 36 (4) ◽  
pp. 405-422
Author(s):  
L.D.C. Ramalho ◽  
J. Belinha ◽  
R.D.S.G. Campilho
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Propagation ◽  
Domain Boundary ◽  
Crack Opening ◽  
Crack Tip ◽  
Weighted Average ◽  
Engineering Problem ◽  
The Finite Element Method ◽  
Element Method

ABSTRACTThe prediction of crack propagation is an important engineering problem. In this work, combined with triangular plane stress finite elements, a new remeshing algorithm for crack opening problems was developed. The proposed algorithm extends the crack iteratively until a threshold maximum crack length is achieved. The crack propagation direction is calculated using the maximum tangential stress criterion. In this calculation, in order to smoothen the stress field in the vicinity of the crack tip, a weighted average of the stresses of the integration points around the crack tip is considered. The algorithm also ensures that there are always at least eight elements and nine nodes surrounding the crack tip, unless the crack tip is close to a domain boundary, in which case there can be fewer elements and nodes around the crack tip.Four benchmark tests were performed showing that this algorithm leads to accurate crack paths when compared to findings from previous research works, as long as the initial mesh is not too coarse. This algorithm also leads to regular meshes during the propagation process, with very few distorted elements, which is generally one of the main problems when calculating crack propagation with the finite element method.

The Mechanics of the Interface Crack Using the Finite Element Method

1990 ◽  
Vol 112 (1) ◽  
pp. 38-43 ◽  
Author(s):  
R. R. Reynolds ◽  
K. Kokini ◽  
G. Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interface Crack ◽  
Crack Tip ◽  
The Finite Element Method ◽  
Closed Crack ◽  
Interface Elements ◽  
Fine Mesh ◽  
Fracture Parameters ◽  
Element Method

The interface crack between two dissimilar materials subjected to a tension load was analyzed using the finite element method in order to study the “open” and “closed” crack tip formulations of this problem. It was shown that these two formulations can be modelled by the absence or presence of interface elements along the crack faces with a very fine mesh. The fracture parameters (k and G) were calculated using crack flank displacements and extrapolation of the interfacial stresses to the crack tip. It was shown that even if the mesh is not fine enough to detect crack closing, the fracture parameters can be determined with a reasonable accuracy.

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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