Determination of stress distributions around notches by boundary element method

1989 ◽  
Vol 12 (4) ◽  
pp. 415-424 ◽  
Author(s):  
Jiann‐Quo Tarn ◽  
Yi‐Bin Wang ◽  
Fang‐Yau Yeh
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Stress Distributions ◽  
Element Method

scholarly journals Fatigue Life Prediction of the Zirconia Fixture Based on Boundary Element Method

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Y. W. Wang ◽  
J. J. Ye ◽  
W. P. He ◽  
G. G. Cai ◽  
B. Q. Shi
Keyword(s):  
Fatigue Life ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Crack Growth ◽  
Semiconductor Industry ◽  
Element Model ◽  
Stress Distributions ◽  
Paris Law ◽  
Initial Cracks ◽  
Element Method

Zirconia grinding fixtures have been widely used in semiconductor industry to improve the quality and precision of the products. For maximizing the service life and minimizing the risks of accidental damage, it is critical to have a better understanding of the fatigue life of zirconia grinding fixtures. To this end, a boundary element method is developed in this paper to investigate their crack growth and fatigue life. To validate the proposed method, the stress intensity factor of a typical plate structure with initial cracks is considered. On this basis, Paris Law is employed in the boundary element model to further study the crack growth and stress distributions in the zirconia fixture under cyclic loads. Numerical results show that stress concentration occurs at the pillar of the fixture, and crack growth is perpendicular to the loading direction.

A 3D BOUNDARY ELEMENT METHOD FOR DETERMINATION OF ACOUSTIC EIGENFREQUENCIES CONSIDERING ADMITTANCE BOUNDARY CONDITIONS

1993 ◽  
Vol 01 (04) ◽  
pp. 455-468 ◽  
Author(s):  
Z. S. CHEN ◽  
G. HOFSTETTER ◽  
H. A. MANG
Keyword(s):  
Boundary Element Method ◽  
Boundary Conditions ◽  
Boundary Element ◽  
Large Scale ◽  
Numerical Study ◽  
Numerical Algorithms ◽  
Numerical Results ◽  
Simple Problem ◽  
Element Method

A 3D boundary element method for the determination of the acoustic eigenfrequencies of car compartments, characterized by a unified treatment of Robin, Dirichlet, and Neumann boundary conditions, is presented. The drawback of frequency-dependent matrices of the eigenvalue problem is overcome by means of the Particular Integral Method. Thus, the standard numerical algorithms for the extraction of eigenvalues can be applied. The numerical study contains both a comparison of numerical results with analytical solutions of a simple problem with different types of boundary conditions and a comparison of numerical results of a large-scale problem with respective numerical results, computed on the basis of the finite element method. In addition, for the latter example, different numerical algorithms for the eigenvalue extraction are examined.

Sign in / Sign up

Export Citation Format

Share Document