The Analysis of Dynamic Stress Intensity Factor for Semi-Circular Surface Crack Using Time-Domain BEM Formulation

ZHONG Ming; ZHANG Yong-yuan

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(11): 1211-1216

ZHONG Ming, ZHANG Yong-yuan. The Analysis of Dynamic Stress Intensity Factor for Semi-Circular Surface Crack Using Time-Domain BEM Formulation[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1211-1216.

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The Analysis of Dynamic Stress Intensity Factor for Semi-Circular Surface Crack Using Time-Domain BEM Formulation

Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P R China

Received Date: 1999-10-09
Rev Recd Date: 2001-03-20
Publish Date: 2001-11-15

Abstract

Abstract

The time-domain BEM was developed to analyze the dynamic stress intensity factor(DSIF) of 3-D elastodynamic crack problems.To simulate the stress singularity along the front of a crack, eight-node isoparametric singular elements were used,and the DSIF for a semi-circular surface crack was firstly calculated based on displacement equation using the time-domain BEM formulation.The new scheme to determine the time step was brought forward.By the dynamic analysis program of time-domain BEM compiled by us,several numerical examples are presented,which demonstrate the unconditional stability and high accuracy of time-domain BEM applied to 3-D elastodynamic crack problems.
- time-domain BEM,
- 3-D elastodynamic crack problems,
- dynamic stress intensity factor

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References(18)

References

[1]	Chen Y M, Wilkins M L. Numerical analysis of dynamic crack problems[A]. In: G C Sih Ed. Mechanics of Fracture, Volume 4[C]. Leyden: Noordhoff, 1977.
[2]	Nishioka T. Recent developments in computational dynamic fracture mechanics[A]. In: M H Aliabadi Ed. Dynamic Fracture Mechanics[C]. Southampton: Computational Mechanics Publications, 1995.
[3]	Brebbia C A, Telles J C F, Wrobel L C. Boundary Element Techniques: Theory and Applications in Engineering[M]. Berlin: Springer-Verlag, 1984.
[4]	Beskos D E. Boundary element methods in dynamic analysis: Part II (1986-1996)[J]. Appl Mech Rev. 1997, 50(3): 149-197.
[5]	Aliabadi M H. Boundary element formulations in fracture mechanics[J]. Appl Mech Rev, 1997, 50(2): 83-96.
[6]	Sladek J, Sladek V. Dynamic stress intensity factors studied by boundary integro-differential equations[J]. Int J Numer Methods Engng, 1986, 23(5): 919-928.
[7]	Zhang Y Y, Shi W. Transient analysis of three-dimensional crack problems by the Laplace transform boundary element method[J]. Engng Fracture Mech, 1994, 47(5): 715-722.
[8]	Wen P H. Dynamic Fracture Mechanics: Displacement Discontinuity Method[M]. Southampton, Boston: Comput Mech Publication, 1996.
[9]	Fedelinski P, Aliabadi M H, Rooke D P. Cracks in three dimensions: dynamic dual boundary element analysis[J]. Comput Methods in Appl Mech Engng, 1998, 167(1-2): 139-151.
[10]	Wen P H, Aliabadi M H, Rooke D P. A variational technique for boundary element analysis of 3D fracture mechanics weight functions: Dynamic[J]. Int J Numer Meth Engng, 1998, 42(8): 1425-1439.
[11]	Hirose S, Achenbach J D. Time-domain boundary element analysis of elastic wave interaction with a crack[J]. Int J Numer Methods Engng, 1989, 28(1-3): 629-644.
[12]	Dominguez J, Gallego R. Time domain boundary element method for dynamic intensity factor computations[J]. Int J Numer Methods Engng, 1992, 33(3): 635-647.
[13]	Dominguez J. Boundary Elements in Dynamics[M]. Southampton: Comput Mech Publication, 1993.
[14]	Ahmad S, Banerjee P K. Time-domain transient elastodynamic analysis of 3-D solids by BEM[J]. Int J Numer Methods Engng, 1988, 26(8): 1709-1728.
[15]	Eringen A C, Suhubi E S. Elastodynamics, Vol 2, Linear theory[M]. New York: Academic Press, 1975.
[16]	Banerjee P K, Ahmad S, Manolis G D. Transient elastodynamic analysis of 3-D problems by boundary element method[J]. Earthquake Engng Struct Dyn, 1986, 14(6): 933-949.
[17]	Dominguez J, Gallego R. The time domain boundary element method for elastodynamic problems[J]. Math Comput Modell, 1991, 15(3-5): 119-129.
[18]	Luo G M, Zhang Y Y. Application of BEM with singular and isoparametric elements in 3-D crack problems[J]. Engng Fracture Mech, 1988, 29(1): 97-106.