Low Frequency Scattering by a Planar Crack

Qu, Jianmin

doi:10.1007/978-1-4684-5772-8_6

Cited by 2 publications

(4 citation statements)

References 13 publications

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“…This boundary value problem can be solved asymptotically for small η (low-frequency approximation) by a perturbation technique developed in [12,50]. Here, we briefly outline the procedure.…”

Section: Appendix: Low-frequency Scattering By a Penny-shaped Crackmentioning

confidence: 99%

“…Although wave propagation in cracked solids has been a subject of intensive studies, e.g., [7][8][9][10][11][12][13][14][15][16][17][18][19], and various micromechanics schemes have been developed to estimate the dynamic effective modulus of solids containing distributed inclusions or cracks, e.g., [20][21][22][23], very few studies have considered crack face contact during the compressive cycles of the wave motion. Most of these studies assumed that the solid is under a pretension so that the cyclic wave motion is not large enough to close the cracks.…”

Section: Introductionmentioning

confidence: 99%

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Frequency-dependent tensile and compressive effective moduli of elastic solids with distributed penny-shaped microcracks

et al. 2015

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This paper develops micromechanics models to estimate the tensile and compressive elastic moduli of elastic solids containing randomly distributed penny-shaped microcracks. The crack faces are open under tension and closed under compression. When the crack faces are closed, they may slide against one another following Coulomb's law of dry friction. The micromechanics models provide analytical expressions of the tensile and compressive moduli for both static and dynamic cases. It is found that the tensile and compressive moduli are different. Further, under dynamic loading, both compressive and tensile moduli are frequency dependent. As a by-product, the micromechanics models also predict wave attenuation in the dynamic case. Numerical simulations using the finite element method are conducted to validate the micromechanics models.

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Section: Appendix: Low-frequency Scattering By a Penny-shaped Crackmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Frequency-dependent tensile and compressive effective moduli of elastic solids with distributed penny-shaped microcracks

et al. 2015

Self Cite

View full text Add to dashboard Cite

show abstract

“…This boundary value problem can be solved asymptotically for small g (low frequency approximation) by a perturbation technique developed in Refs. [12] and [53]. Here, we briefly outline the procedure.…”

Section: Appendix-low Frequency Scattering By a Griffith Crackmentioning

confidence: 99%

“…Although wave propagation in cracked solids has been a subject of intensive studies, e.g., Refs. [7][8][9][10][11][12][13][14][15][16][17][18][19], and various micromechanics schemes have been developed to estimate the dynamic effective modulus of solids containing distributed inclusions or cracks, e.g., Refs. [20][21][22][23], very few studies have considered crack face contact during the compressive cycles of the wave motion.…”

Section: Introductionmentioning

confidence: 99%

Frequency-Dependent Tensile and Compressive Effective Moduli of Elastic Solids With Randomly Distributed Two-Dimensional Microcracks

Zhao

Qiu

Jacobs

et al. 2015

Journal of Applied Mechanics

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This paper develops micromechanics models to estimate the tensile and compressive elastic moduli of elastic solids containing randomly distributed two-dimensional microcracks. The crack faces are open under tension and closed under compression. When the crack faces are closed, they may slide against one another following the Coulomb's law of dry friction. The micromechanics models provide analytical expressions of the tensile and compressive moduli for both static and dynamic cases. It is found that the tensile and compressive moduli are different. Further, under dynamic loading, the compressive and tensile moduli are both frequency dependent. As a by-product, the micromechanics models also predict wave attenuation in the dynamic case. Numerical simulations using the finite element method (FEM) are conducted to validate the micromechanics models.

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Low Frequency Scattering by a Planar Crack

Cited by 2 publications

References 13 publications

Frequency-dependent tensile and compressive effective moduli of elastic solids with distributed penny-shaped microcracks

Frequency-dependent tensile and compressive effective moduli of elastic solids with distributed penny-shaped microcracks

Frequency-Dependent Tensile and Compressive Effective Moduli of Elastic Solids With Randomly Distributed Two-Dimensional Microcracks

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