Gradient nanoscale polycrystalline elasticity: Intergrain interactions and triple-junction conditions |
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Authors: | Eliot Fried Morton E Gurtin |
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Institution: | aDepartment of Mechanical Engineering, McGill University, Montréal, Québec, Canada H3A 2K6;bDepartment of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213-3890, USA |
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Abstract: | Using the principle of virtual power, we develop general balance equations, interface conditions, triple-junction conditions, and boundary conditions for second-grade nanocrystalline elastic materials undergoing infinitesimal deformations. We further develop thermodynamically consistent constitutive equations and provide a weak formulation of resulting boundary-value problems that automatically yields internal conditions such those that hold across interfaces and at triple junctions. |
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Keywords: | Nanoscale polycrystalline elasticity Grain boundaries Grain junctions Hypertraction Hyperstress |
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