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Article Dans Une Revue Computational Materials Science Année : 2011

First vs. second gradient of strain theory for capillarity effects in an elastic fluid at small length scales

Samuel Forest

Résumé

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.

Dates et versions

hal-00569981 , version 1 (25-02-2011)

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Samuel Forest, Nicolas Cordero, Esteban P. Busso. First vs. second gradient of strain theory for capillarity effects in an elastic fluid at small length scales. Computational Materials Science, 2011, 50, pp.1299-1304. ⟨10.1016/j.commatsci.2010.03.048⟩. ⟨hal-00569981⟩
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