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Published in

Elsevier, Computer Methods in Applied Mechanics and Engineering, 41-42(197), p. 3337-3350

DOI: 10.1016/j.cma.2008.02.001

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A Multiscale, Finite Deformation Formulation for Surface Stress Effects on the Coupled Thermomechanical Behavior of Nanomaterials

Journal article published in 2008 by Geng Yun, Harold S. Park ORCID
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

We present a multiscale, finite deformation formulation that accounts for surface stress effects on the coupled thermomechanical behavior and properties of nanomaterials. The foundation of the work lies in the development of a multiscale surface Helmholtz free energy, which is constructed through utilization of the surface Cauchy–Born hypothesis. By doing so, temperature-dependent surface stress measures as well as a novel form of the heat equation are obtained directly from the surface free energy. The development of tem-perature-dependent surface stresses distinguishes the present approach, as the method can be utilized to study the behavior of nanom-aterials by capturing the size-dependent variations in the thermoelastic properties with decreasing nanostructure size. The coupled heat and momentum equations are solved in 1D using a fully implicit, monolithic scheme, and show the importance of capturing surface stress effects in accurately modeling the thermomechanical behavior of nanoscale materials.