Frequency-dependent tensile and compressive effective moduli of elastic solids with randomly distributed two-dimensional microcracks

Youxuan Zhao, Yanjun Qiu, Laurence J. Jacobs, Jianmin Qu

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

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.

Original languageEnglish
Article number081006
JournalJournal of Applied Mechanics, Transactions ASME
Volume82
Issue number8
DOIs
StatePublished - 1 Aug 2015

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