Journal
COMPUTATIONAL MATERIALS SCIENCE
Volume 50, Issue 4, Pages 1299-1304Publisher
ELSEVIER
DOI: 10.1016/j.commatsci.2010.03.048
Keywords
Capillarity; Cohesion; Surface tension; Nano-particle; Free surface; Micromorphic continuum; Strain gradient; Second gradient theory; Third gradient theory
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Mindlin [22] wrote a milestone paper claiming that a second strain gradient theory is required for a continuum description of volume cohesion and surface tension in isotropic elastic media. The objective of the present work is to compare Mindlin's approach to more standard capillarity models based on a first strain gradient theory and Korteweg's equation. A general micromorphic model is then proposed as a numerical method to implement Mindlin's theory in a finite element code. (C) 2010 Elsevier B.V. All rights reserved.
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