Dynamic fracture analysis of a finite crack subjected to an incident horizontally polarized shear wave

Ing, Yi‐Shyong; Ma, Chien‐Ching

doi:10.1016/s0020-7683(96)00077-7

Cited by 19 publications

(7 citation statements)

References 26 publications

(27 reference statements)

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“…The results for Zhao methods 1 and 2 in Fig. 2 overlap, and the transient values of the stress intensity factor for all three methods are extremely close to the analytical solution in Ing and Ma's study [25]. The maximum value of the non-dimensional stress intensity factor for purely elastic materials is 4/.…”

Section: Numerical Resultssupporting

confidence: 68%

“…To verify the accuracy of the numerical inversion of Laplace transform, a special case from the literature was first calculated: The piezoelectric constant e 15 = 0. The results of this study could be compared to the analysis by Ing and Ma [25] regarding purely elastic materials. The parameters during calculation were set to T = 75 and T = 5, and the  k in Zhao methods was assumed to be a constant step.…”

Section: Numerical Resultsmentioning

confidence: 95%

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Investigation on Transient Responses of a Piezoelectric Crack by using Durbin and Zhao Methods for Numerical Inversion of Laplace Transforms

Ing

Liao

2013

J. mech.

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This study applies the numerical inversion of Laplace transform methods to study the piezoelectric dynamic fracture problem, recalculating Chen and Karihaloo's [1] analysis on the transient response of a impermeable crack subjected to anti-plane mechanical and in-plane electric impacts. Three numerical methods were adopted for calculating the dynamic stress intensity factor: Durbin method, Zhao method 1, and Zhao method 2. The results obtained were more accurate than the results in Chen and Karihaloo's [1] study. Through the calculation, this study presents a better range of parameters for the above three methods, and compares the advantages and disadvantages of each method in detail.

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Section: Numerical Resultssupporting

confidence: 68%

Section: Numerical Resultsmentioning

confidence: 95%

Investigation on Transient Responses of a Piezoelectric Crack by using Durbin and Zhao Methods for Numerical Inversion of Laplace Transforms

Ing

Liao

2013

J. mech.

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“…where η is a dynamic overshoot factor. We adopt η = 4/π , the exact value in mode III for a stationary crack under dynamic plane wave loading (Ing & Ma 1997) and for bilateral cracks with uniform stress drop (Leise & Walton 2001). For an asperity with initial stress ≈ τ s and half-size L nuc ≤ a, under background stress τ 0 :…”

Section: A P P E N D I X B : T R a N S I T I O N T O R U N A W A Y C mentioning

confidence: 99%

Cracks, pulses and macroscopic asymmetry of dynamic rupture on a bimaterial interface with velocity-weakening friction

Ampuero¹,

Ben‐Zion

2008

Geophysical Journal International

269

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SUMMARY We study in‐plane ruptures on a bimaterial fault governed by a velocity‐weakening friction with a regularized normal stress response. Numerical simulations and analytical estimates provide characterization of the ranges of velocity‐weakening scales, nucleation lengths and background stresses for which ruptures behave as cracks or pulses, decaying or sustained, bilateral or unilateral. With strongly velocity‐weakening friction, ruptures occur under a wide range of conditions as large‐scale pulses with a preferred propagation direction, that of slip of the more compliant material. Such ruptures have macroscopic asymmetry manifested by significantly larger seismic potency and propagation distance in the preferred direction, and clearly quantified by the directivity ratio derived from the second order moments of the spatio‐temporal distribution of slip rate. The macroscopic rupture asymmetry of the large‐scale pulses stems from the difference in the criticality conditions for self‐sustained propagation in each rupture direction, induced by the asymmetric normal stress changes operating in bimaterial interfaces. In contrast, crack‐like ruptures show macroscopic asymmetry under restrictive conditions. The discussed mechanism is robust with respect to regularization parameters, ranges of stress heterogeneities and a proxy for off‐fault yielding and should operate similarly for crustal‐scale rupture pulses even in the absence of velocity‐weakening. Small‐scale pulses, driven by the bimaterial normal stress reduction at the scale of the process zone, can detach from the rupture front of the large‐scale pulses that propagate in the preferred direction. However, their occurrence depends on the relaxation scale in the regularization of the normal stress response and their development can be hindered by off‐fault yielding.

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“…A new fundamental solution is derived and the transient solution is determined by superposition of the fundamental solution in the Laplace transform domain. Similar superposition techniques had been successfully used to solve many transient problems of a stationary crack (Ing and Ma, 1996, 1997aIng and Wang, 2004) and a propagating crack (Ing and Ma, 1997bIng and Lin, 2002) for purely elastic solids. It demonstrates a powerful method to deal with crack problems with characteristic lengths.…”

Section: Introductionmentioning

confidence: 99%

Transient analysis of a mode-III crack propagating in a piezoelectric medium

Ing

Wang

2004

International Journal of Solids and Structures

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Dynamic fracture analysis of a finite crack subjected to an incident horizontally polarized shear wave

Cited by 19 publications

References 26 publications

Investigation on Transient Responses of a Piezoelectric Crack by using Durbin and Zhao Methods for Numerical Inversion of Laplace Transforms

Investigation on Transient Responses of a Piezoelectric Crack by using Durbin and Zhao Methods for Numerical Inversion of Laplace Transforms

Cracks, pulses and macroscopic asymmetry of dynamic rupture on a bimaterial interface with velocity-weakening friction

Transient analysis of a mode-III crack propagating in a piezoelectric medium

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