๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Transient analysis of three-dimensional crack problems by the laplace transformed boundary element method

โœ Scribed by Y.Y. Zhang; W. Shi


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
584 KB
Volume
47
Category
Article
ISSN
0013-7944

No coin nor oath required. For personal study only.

โœฆ Synopsis


The Laplace transformed boundary element method is used to analyse the transient responses of a three-dimensional crack. The choice of Laplace inversion parameters and the calculation of dynamic stress intensity factors (SIF) are discussed. In order to verify the computation procedure and choose the discretization format, the transient displacement response. of a prismatical beam under various dynamic loadings and the transient SIF response of a thick plate with a through-thickness crack under two different discretization schemes are calculated. Finally, the transient SIF response of a plate with a semi-circular surface crack under several different loading conditions is also computed, and the results are shown to be quite good.


๐Ÿ“œ SIMILAR VOLUMES


Transient elastodynamic analysis of thre
โœ Prasanta K. Banerjee; Shahid Ahmad; George D. Manolis ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 883 KB

An advanced implementation of the direct boundary element method applicable to transient problems involving threedimensional solids of arbitrary shape and connectivity is presented. The work first focuses on the formulation of the method, followed by a discussion of the fundamental singular solution

New hybrid Laplace transform/finite elem
โœ Cha'o-Kuang Chen; Tzer-Ming Chen ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 865 KB

The paper presents results obtained by the implementation of a new hybrid Laplace transform/finite element method developed by the authors. The present method removes the time derivatives from the governing differential equation using the Laplace transform and then solves the associated equation wit

Improvement of stress singular element f
โœ Gangming Luo; Yongyuan Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 490 KB

In the paper, a new kind of stress singular element is introduced for crack problems. This kind of element is more simple and widely used than those presented before. In the paper, a cube with embedded circular crack and a first kind Benchmark problem are studied. The study shows that using quarter-

Transient analysis of three-dimensional
โœ Jeffrey L. Dohner; Rahmatallah Shoureshi; Robert J. Bernhard ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 674 KB

In the past the time domain solution of the wave equation has been limited to simplified problems. This was due to the limitations of analytical methods and the capacity of computers to manipulate and store 'large' blocks of spatial information. With the advent of 'super computers' the ability to so

Application of boundary element method w
โœ Gangming Luo; Yongyuan Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 694 KB

In the paper, an ~vestigation into the stress intensity factors of mixed-mode three dimensional crack problem is studied. In the method presented in the paper, the number of elements and nodes can be decreased greatly while computational accuracy and efficiency increase, the continuous functions of