Analysis of Surface Crack in Cylinder by Finite Element Alternating Method

2005 ◽  
Vol 127 (2) ◽  
pp. 165-172 ◽  
Author(s):  
Masayuki Kamaya ◽  
Toshihisa Nishioka
Keyword(s):  
Finite Element ◽  
Crack Growth ◽  
Surface Cracks ◽  
Inclined Crack ◽  
Element Analysis ◽  
Crack Face ◽  
Simple Method ◽  
Alternating Method ◽  
The Finite Element Analysis ◽  
Inclined Surface

The finite element alternating method (FEAM), in conjunction with the finite element analysis (FEA) and the analytical solution for an elliptical crack in an infinite solid subject to arbitrary crack-face traction, is used for evaluating the stress intensity factor (SIF) of surface cracks in a cylinder. The major advantage of this method is that the SIF can be calculated by using the FEA results for an uncracked body. A newly developed system allows the FEAM to be performed by a simple method, which consists of the conventional FEA for an uncracked body and a subroutine for the FEAM alternating procedure. It is shown that the system can derive the precise SIF of circumferential, longitudinal, and inclined surface cracks in a cylinder. The crack growth predictions are performed for an inclined crack and projected longitudinal and circumferential crack in a cylinder. The results suggests that the crack characterizing procedure prescribed in Sec. XI may cause an unconservative evaluation in the crack growth prediction, and that the FEAM is valid for complex problems, to which the SIF evaluation by the FEA cannot be adopted easily.

Evaluation of Stress Intensity Factors by Finite Element Alternating Method

2004 ◽  
Author(s):  
Masayuki Kamaya ◽  
Toshihisa Nishioka
Keyword(s):  
Finite Element ◽  
Stress Intensity ◽  
Maximum Error ◽  
Surface Cracks ◽  
Element Analysis ◽  
Crack Face ◽  
Simple Method ◽  
Alternating Method ◽  
Fine Mesh ◽  
The Finite Element Analysis

The finite element alternating method (FEAM), in conjunction with the finite element analysis (FEA) and the analytical solution for an elliptical crack in an infinite solid subject to arbitrary crack-face traction, is used for evaluating the stress intensity factor (SIF) of surface cracks. The major advantage of this method is that the SIF can be calculated by using the FEA results for an uncracked body. A newly developed system allows the FEAM to be performed by a simple method, which consists of the conventional FEA for an uncracked body and a subroutine for the FEAM alternating procedure. The SIFs are evaluated for semi-elliptical surface cracks on a plate and in a cylinder as well as interacting cracks on a plate. It is also shown that, by using fine mesh, the maximum error of the evaluation by the FEAM can be suppressed less than 2 percent.

Finite Element Alternating Method for Interacting Surface Cracks

2007 ◽  
Vol 120 ◽  
pp. 147-153 ◽  
Author(s):  
Masayuki Kamaya ◽  
Toshihisa Nishioka
Keyword(s):  
Finite Element ◽  
Crack Size ◽  
Surface Cracks ◽  
Combination Rules ◽  
Element Analysis ◽  
Crack Face ◽  
Direct Evaluation ◽  
Alternating Method ◽  
The Finite Element Analysis ◽  
The Difference

The finite element alternating method (FEAM), in conjunction with the finite element analysis (FEA) and the analytical solution for an elliptical crack in an infinite solid subject to arbitrary crack-face traction, can derive the stress intensity factor (SIF) of surface cracks by using the FEA results for an uncracked body. In the present study, the FEAM was applied to evaluations of SIF for noncoplanar multiple surface cracks. The SIF was evaluated for two surface cracks of dissimilar size, and three crack of the same size. The results suggested that the interaction is greatly affected by the relative crack size and negligible when the difference in the crack size is large enough, and the interaction can be evaluated by taking into account the adjacent cracks even if there are many cracks around them. Finally, the crack growth simulations were conducted and a possibility of the direct evaluation of influence of interaction between adjacent crack without using the combination rules was revealed.

A Numerical Analysis of Crack Growth in Microcracking Ceramic and Ceramic Composites

1994 ◽  
Vol 365 ◽  
Author(s):  
S. B. Biner
Keyword(s):  
Finite Element ◽  
Crack Growth ◽  
Large Population ◽  
Element Model ◽  
Ceramic Composites ◽  
Element Analysis ◽  
Hybrid Finite Element ◽  
Random Nucleation ◽  
The Finite Element Analysis ◽  
Continuum Description

ABSTRACTA set of numerical analyses of crack growth was performed to elucidate the influence of microcracking on the fracture behavior of microcracking ceramic and ceramic composites. The random nucleation, orientation and size effects of discrete nucleating microcracks and resulting interactions are fully accounted for in a hybrid finite element model. The results obtained from the finite element analysis are compared with the continuum description of the microcracking. Although continuum description can provide a reasonable estimation of shielding, it fails to resolve the details of the micromechanism of toughening resulting from microcracking, since not every shielding event during the course of crack extension corresponds to an increase in the Rcurve. Moreover, as seen in the composite cases, the local events leading to toughening behavior may not be associated with the microcracking, even in the presence of large population of microcracks.

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.

scholarly journals Scaling Law for the Velocity of Domino Toppling Motion in Curved Paths

2020 ◽  
Author(s):  
Guang-Kai Song ◽  
Xiao-Lin Guo ◽  
Bo-Hua Sun
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Scaling Law ◽  
Propagation Speed ◽  
Square Root ◽  
Element Analysis ◽  
Simple Method ◽  
Straight Line ◽  
The Finite Element Analysis ◽  
Curved Paths

The arranged paths of dominoes have many shapes. The scaling law for the propagation speed of domino toppling has been extensively investigated. However, in all previous investigations, the scaling law for the velocity of domino toppling motion in curved lines was not taken into account. In the present work, the finite-element analysis (FEA) program ABAQUS was used to study the velocity of domino toppling motion in curved lines. It is shown that the domino propagation speed has a rising trend with increasing domino spacing in a straight line. It is also found that domino propagation speed is linearly proportional to the square root of domino separation. This research proved that the scaling law for the speed of domino toppling motion given by Sun (2020) is true [B-H. Sun, 2020. Scaling law for the propagation speed of domino toppling. AIP Advances, 10(9),095124.]. Moreover, the shape of domino arrangement paths has no influence on the scaling law for the propagation speed of dominoes but can affect the coefficient of the scaling law for the velocity. Therefore, the amendatory function for the propagation speed of dominoes in curved lines was formulated by the FEA data. The fitted amendatory function, $\varphi_{revise}$, provides the simple method for a domino player to quickly estimate the propagation speed of dominoes in curved lines.

Interactive Graphics for the Analysis of Tires

1985 ◽  
Vol 13 (3) ◽  
pp. 127-146 ◽  
Author(s):  
R. Prabhakaran
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Approximate Solutions ◽  
Interactive Graphics ◽  
Element Analysis ◽  
Analysis Process ◽  
Physical Problems ◽  
The Finite Element Analysis ◽  
Analysis Computer ◽  
Discretization Technique

Abstract The finite element method, which is a numerical discretization technique for obtaining approximate solutions to complex physical problems, is accepted in many industries as the primary tool for structural analysis. Computer graphics is an essential ingredient of the finite element analysis process. The use of interactive graphics techniques for analysis of tires is discussed in this presentation. The features and capabilities of the program used for pre- and post-processing for finite element analysis at GenCorp are included.

Finite Element Analysis of Nonuniformity of Tires with Imperfections5

2007 ◽  
Vol 35 (3) ◽  
pp. 226-238 ◽  
Author(s):  
K. M. Jeong ◽  
K. W. Kim ◽  
H. G. Beom ◽  
J. U. Park
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Three Dimensional ◽  
Element Model ◽  
Radial Force ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Dimensional Finite Element ◽  
Force Variation ◽  
Three Dimensional Finite Element

Abstract The effects of variations in stiffness and geometry on the nonuniformity of tires are investigated by using the finite element analysis. In order to evaluate tire uniformity, a three-dimensional finite element model of the tire with imperfections is developed. This paper considers how imperfections, such as variations in stiffness or geometry and run-out, contribute to detrimental effects on tire nonuniformity. It is found that the radial force variation of a tire with imperfections depends strongly on the geometrical variations of the tire.

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