Theory for Strained Graphene Beyond the Cauchy-Born Rule
نویسندگان
چکیده
منابع مشابه
Sufficient Conditions for the Validity of the Cauchy - Born Rule Close to so (
The Cauchy-Born rule provides a crucial link between continuum theories of elasticity and the atomistic nature of matter. In its strongest form it says that application of affine displacement boundary conditions to a monatomic crystal will lead to an affine deformation of the whole crystal lattice. We give a general condition in arbitrary dimensions which ensures the validity of the Cauchy-Born...
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In this study, we develop a temperature-related Cauchy–Born (TCB) rule for multiscale modeling of crystalline solids based on the assumptions that deformation is locally homogeneous and atoms have the same local vibration mode. When employing the TCB rule in the nanoscale continuum approximation, the first Piola–Kirchhoff stress can be explicitly computed as the first derivative of the Helmholt...
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By combining with the physical concept of inscribed surface, the standard Cauchy-Born rule (CBR) is straightly extended to have a rigorous and accurate atomistic continuum theory for the monolayer crystal films. Resorting to using Tersoff-Brenner potential, the present theory to graphite sheet and single-walled carbon nanotubes (SWCNTs) is applied to evaluate the mechanical properties. The resu...
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We study continuum and atomistic models for the elastodynamics of crystalline solids at zero temperature. We establish sharp criterion for the regime of validity of the nonlinear elastic wave equations derived from the well-known Cauchy-Born rule.
متن کاملExtension of the temperature-related Cauchy–Born rule: Material stability analysis and thermo-mechanical coupling
In this paper, we first study the material stability of nanostructured materials via the continuum linearized stability analysis technique with the temperature-related Cauchy–Born (TCB) rule. As a temperature-related homogenization technique, the TCB rule considers the free energy instead of the potential so that temperature effects on material stability can be investigated. In addition, we dev...
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ژورنال
عنوان ژورنال: physica status solidi (RRL) - Rapid Research Letters
سال: 2018
ISSN: 1862-6254
DOI: 10.1002/pssr.201800237