Cohesive elasticity and surface phenomena-Reference-Cited by-同舟云学术

Cohesive elasticity and surface phenomena

Published:1992 Issue:1 Volume:50 Page:73-103
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Wu Chien H.

Abstract

Cohesive elasticity is the grade-3 theory of elasticity developed by Mindlin in 1965. It has a modulus of cohesion that gives rise to surface-tension. The concept of adhesion is introduced, and interfacial energies and energy of adhesion are defined. The interfacial energy solution may also be used to define a grain boundary energy. Also presented are the thin film energy and the concept of an interface-phase. The stretching of a thin film is analyzed in detail; and it is found that the apparent Young’s modulus obtained from a film is higher than that obtained from a plate.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1992-50-01/S0033-569X-1992-1146625-5/S0033-569X-1992-1146625-5.pdf

Reference26 articles.

1. B. Budiansky and J. R. Rice, Conservation laws and energy-release rates, J. Appl. Mech. 40, 201–203 (1973)

2. J. W. Cahn and J. E. Hilliard, Free energy of a nonuniform system I. Interfacial free energy, J. Chem. Phys. 28, 258–267 (1958)

3. J. M. Doyle, Singular solutions in elasticity, Acta Mech. 4, 27–33 (1966)

4. On the thermomechanics of interstitial working;Dunn, J. E.;Arch. Rational Mech. Anal.,1985

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