A Temperature-related Homogenization Technique for Nanoscale Continuum Approximation

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A new homogenization technique, the temperature-related Cauchy-Born (TCB) rule, is proposed in this paper with the consideration of the free energy instead of the potential energy. The TCB rule is verified via stress analyses of several crystalline solids. We also implement the TCB rule into the meshfree particle method to investigate crack propagation in a nanoplate.

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Journal: TechConnect Briefs
Volume: 1, Technical Proceedings of the 2007 NSTI Nanotechnology Conference and Trade Show, Volume 1
Published: May 20, 2007
Pages: 520 - 523
Industry sector: Advanced Materials & Manufacturing
Topic: Informatics, Modeling & Simulation
ISBN: 1-4200-6182-8