Document Type

Article

Publication Date

8-11-2011

Journal or Book Title

Journal of Applied Physics

Volume

110

Issue

3

First Page

033531

DOI

10.1063/1.3619807

Abstract

Phase-field theory for the description of the overdriven fracture in liquid (cavitation) in tensile pressure wave is developed. Various results from solid mechanics are transferred into mechanics of fluids. Thermodynamic potential is formulated that describes the desired tensile pressure–volumetric strain curve and for which the infinitesimal damage produces infinitesimal change in the equilibrium bulk modulus. It is shown that the gradient of the order parameter should not be included in the energy, in contrast to all known phase-field approaches for any material instability. Analytical analysis of the equations is performed. Problems relevant to the melt-dispersion mechanism of the reaction of nanoparticles on cavitation in spherical and ellipsoidal nanoparticles with different aspect ratios, after compressive pressure at its surface sharply dropped, are solved using finite element method. Some nontrivial features (lack of fracture at dynamic pressure much larger than the liquid strength and lack of localized damage for some cases) are obtained analytically and numerically. Equations are formulated for fracture in viscous liquid. A similar approach can be applied to fracture in amorphous and crystalline solids.

Comments

The following article appeared in Journal of Applied Physics 110 (2011): 033531 and may be found at http://dx.doi.org/10.1063/1.3619807.

Rights

Copyright 2011 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

Copyright Owner

American Institute of Physics

Language

en

Date Available

2013-11-26

File Format

application/pdf

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