scholarly journals Bridged crack - opening outside of the bridged zone and stresses at the material interface

2020 ◽  
pp. 69-77
Author(s):  
Михаил Натанович Перельмутер
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Crack Opening ◽  
Interfacial Crack ◽  
Crack Tip ◽  
Material Interface ◽  
External Loads ◽  
Bridged Crack ◽  
Element Method

Для прямолинейной трещины со связями в концевой области на границе соединения материалов получены выражения для расчета раскрытия трещины вне зоны, занятой связями, и напряжений за вершиной трещины. Рассматривается действие однородных - нормальной и сдвиговой - внешних нагрузок. Размер концевой области трещины не полагается малым по сравнению с длиной трещины. Выполнено сопоставление с результатами, полученными методом граничных элементов. For a straight interfacial crack with bridged zone the expressions for calculating the opening of the crack outside of the bridged zone and stresses ahead of the crack tip are obtained. The action of uniform normal and shear external loads is considered. The size of the crack bridged zone is not considered small compared with the length of the whole crack. A comparison with the results obtained by the boundary element method is presented.

Dynamic Fracture Analysis of Plates Loaded in Tension and Bending Using the Dual Boundary Element Method

2019 ◽  
Vol 827 ◽  
pp. 440-445
Author(s):  
Jun Li ◽  
Zahra Sharif Khodaei ◽  
Ferri M.H. Aliabadi
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Dynamic Fracture ◽  
Boundary Integral Equations ◽  
Crack Opening ◽  
Fracture Analysis ◽  
Boundary Integral ◽  
Mindlin Plate ◽  
Dual Boundary Element Method ◽  
Element Method

The purpose of this paper is to solve dynamic fracture problems of plates under both tension and bending using the boundary element method (BEM). The dynamic problems were solved in the Laplace-transform domain, which avoided the calculation of the domain integrals resulting from the inertial terms. The dual boundary element method, in which both displacement and traction boundary integral equations are utilized, was applied to the modelling of cracks. The dynamic fracture analysis of a plate under combined tension and bending loads was conducted using the BEM formulations for the generalized plane stress theory and Mindlin plate bending theory. Dynamic stress intensity factors were estimated based on the crack opening displacements.

A BOUNDARY-ELEMENT METHOD FOR ATOMIZATION OF A FINITE LIQUID JET

1995 ◽  
Vol 5 (6) ◽  
pp. 621-638 ◽  
Author(s):  
J. H. Hilbing ◽  
Stephen D. Heister ◽  
C. A. Spangler
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Liquid Jet ◽  
Element Method

Application of the Boundary Element Method and Modal Analysis to Tire Acoustics Problems

1993 ◽  
Vol 21 (2) ◽  
pp. 66-90 ◽  
Author(s):  
Y. Nakajima ◽  
Y. Inoue ◽  
H. Ogawa
Keyword(s):  
Finite Element ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Acoustic Radiation ◽  
Traffic Noise ◽  
Noise Prediction ◽  
Prediction System ◽  
Tire Noise ◽  
Acoustic Contribution ◽  
Element Method

Abstract Road traffic noise needs to be reduced, because traffic volume is increasing every year. The noise generated from a tire is becoming one of the dominant sources in the total traffic noise because the engine noise is constantly being reduced by the vehicle manufacturers. Although the acoustic intensity measurement technology has been enhanced by the recent developments in digital measurement techniques, repetitive measurements are necessary to find effective ways for noise control. Hence, a simulation method to predict generated noise is required to replace the time-consuming experiments. The boundary element method (BEM) is applied to predict the acoustic radiation caused by the vibration of a tire sidewall and a tire noise prediction system is developed. The BEM requires the geometry and the modal characteristics of a tire which are provided by an experiment or the finite element method (FEM). Since the finite element procedure is applied to the prediction of modal characteristics in a tire noise prediction system, the acoustic pressure can be predicted without any measurements. Furthermore, the acoustic contribution analysis obtained from the post-processing of the predicted results is very helpful to know where and how the design change affects the acoustic radiation. The predictability of this system is verified by measurements and the acoustic contribution analysis is applied to tire noise control.

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