Computation of Plane Crack Stress Intensity Factors Using Trigonometric Wavelet Finite Element Method

被引：6

作者：

He, W. -Y. ^{[1
]}

Ren, W. -X. ^{[1
,2
]}

Yang, Z. -J. ^{[3
]}

机构：

[1] Cent S Univ, Dept Civil Engn, Changsha 410075, Hunan, Peoples R China

[2] Hefei Univ Technol, Dept Civil Engn, Hefei 230009, Anhui, Peoples R China

[3] Univ Liverpool, Sch Engn, Liverpool L69 3GH, Merseyside, England

来源：

FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES | 2012年 / 35卷 / 08期

基金：

英国工程与自然科学研究理事会;

关键词：

stress intensity factors; trigonometric wavelet; singularity; hierarchical; multi-resolution; B-SPLINE WAVELET; CONSTRUCTION;

D O I：

10.1111/j.1460-2695.2011.01626.x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The trigonometric wavelet has both good approximation characteristics of trigonometric function and multi-resolution, local characteristics of wavelet. It is used in this study as interpolation functions in the finite element (FE) method. FE formulations for elastic plane problems are derived based on the principle of minimum potential energy. Stress intensity factors of plane stress problems with cracks are computed based on the displacement extrapolation technique. The wavelet hierarchical and multi-resolution approaches are also used to improve accuracy of calculations. Numerical examples have shown that the proposed trigonometric wavelet finite element formulations are effective for computing the stress intensity factors with a small number of elements. Both wavelet hierarchical and wavelet multi-resolution methods lead to improved computational accuracy. They can be selected according to the problems to be solved.

引用

页码：732 / 741

页数：10

共 50 条

[21] Evaluation of bimaterial stress intensity factors using a finite element boundary element alternating method
Lahiri, S
Sankar, BV
Mataga, PA
ENGINEERING FRACTURE MECHANICS, 1996, 53 (02) : 289 - 302
[22] A finite element based interior collocation method for the computation of stress intensity factors and T-stresses
Jogdand, P. V.
Murthy, K. S. R. K.
ENGINEERING FRACTURE MECHANICS, 2010, 77 (07) : 1116 - 1127
[23] Crack edge collocation for the direct computation of stress intensity factors using the displacement discontinuity method
Napier, JAL
SOUTH AFRICAN JOURNAL OF SCIENCE, 2002, 98 (9-10) : 481 - 485
[24] Extended finite element method for computation of mixed-mode stress intensity factors in three dimensions
Wu, Liang
Zhang, Lixing
Guo, Yakun
INTERNATIONAL CONFERENCE ON ADVANCES IN COMPUTATIONAL MODELING AND SIMULATION, 2012, 31 : 373 - 380
[25] Computation of the stress intensity factors of sharp notched plates by the fractal-like finite element method
Treifi, Muhammad
Oyadiji, S. Olutunde
Tsang, Derek K. L.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2009, 77 (04) : 558 - 580
[26] Stress intensity factors near crack tip of anisotropic material with a new hybrid finite element method
Liang, Ping-Ying
Chen, Meng-Cheng
Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, 2007, 24 (02): : 209 - 214
[27] EVALUATION OF FINITE-ELEMENT METHODS FOR COMPUTATION OF ELASTIC STRESS INTENSITY FACTORS
OGLESBY, JJ
LOMACKY, O
JOURNAL OF ENGINEERING FOR INDUSTRY-TRANSACTIONS OF THE ASME, 1973, 95 (01): : 177 - 185
[28] NUMERICAL COMPUTATION OF DYNAMIC STRESS INTENSITY FACTORS BY THE BOUNDARY ELEMENT METHOD
JIAJU, Y
XING, J
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 1988, 5 (03) : 140 - 145
[29] THE CALCULATION OF STRESS INTENSITY FACTORS USING THE FINITE-ELEMENT METHOD WITH CRACKED ELEMENTS
BYSKOV, E
INTERNATIONAL JOURNAL OF FRACTURE, 1984, 26 (04) : 329 - 337
[30] Stress intensity factors for circular hole and inclusion using finite element alternating method
Thomas, SB
Mhaiskar, MJ
Sethuraman, R
THEORETICAL AND APPLIED FRACTURE MECHANICS, 2000, 33 (02) : 73 - 81

← 1 2 3 4 5 →