A Theory of Fracture Based Upon an Extension of Continuum Mechanics to the Nanoscale-Reference-Cited by-同舟云学术

A Theory of Fracture Based Upon an Extension of Continuum Mechanics to the Nanoscale

Published:2005-11-23 Issue:5 Volume:73 Page:792-798
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Oh Eun-Suok¹,Walton Jay R.²,Slattery John C.³

Affiliation:

1. Department of Aerospace Engineering, Texas A&M University, College Station, TX 77843-3368

2. Department of Mathematics, Texas A&M University, College Station, TX 77843-3368

3. Texas A&M University, College Station, TX 77843-3368

Abstract

A theory of fracture is presented that is based upon an extension of continuum mechanics to the nanoscale through the incorporation of long-range intermolecular forces which correct bulk material descriptions near interfaces. The surface energy on crack surfaces, which is given in terms of the long-range intermolecular forces, plays an important role in an expression for the stress distribution near the crack tip. It is observed through numerical simulation that the incorporation of these long-range intermolecular forces removes the square-root stress singularity predicted by classical linear elastic fracture mechanics.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/73/5/792/5474178/792_1.pdf

Reference31 articles.

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3. A Molecular Dynamics Investigation of Rapid Fracture Mechanics;Abraham;J. Am. Soc. Mass Spectrom.

4. Ab Initio Dynamics of Rapid Fracture;Abraham;Modell. Simul. Mater. Sci. Eng.

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