TY - JOUR
T1 - Frequency-dependent tensile and compressive effective moduli of elastic solids with randomly distributed two-dimensional microcracks
AU - Zhao, Youxuan
AU - Qiu, Yanjun
AU - Jacobs, Laurence J.
AU - Qu, Jianmin
N1 - Publisher Copyright:
Copyright © 2015 by ASME.
PY - 2015/8/1
Y1 - 2015/8/1
N2 - 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.
AB - 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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U2 - 10.1115/1.4030538
DO - 10.1115/1.4030538
M3 - Article
AN - SCOPUS:84931274938
SN - 0021-8936
VL - 82
JO - Journal of Applied Mechanics, Transactions ASME
JF - Journal of Applied Mechanics, Transactions ASME
IS - 8
M1 - 081006
ER -