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A direct application of the assumed modes method incorporating continuum modes as basis leads to difficulties.
The strain energy density function at continuum level is expressed as total interatomic potential per unit area of a unit cell incorporating continuum deformation through Cauchy Born rule.
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The finite element implementation of the model considers both two-dimensional and three-dimensional representative volume elements (RVEs), and incorporates continuum-based physics-inspired descriptions of shear yielding and crazing, along with failure criteria for the ductile (PC) and brittle (PMMA) layers.
solid solution is assessed by incorporating a continuum elasticity strain-energy term into the Gibbs free energy.
An optimization procedure incorporating a continuum modeling is used in this work to identify the ideal orientation distribution of ferroelectrics (FEs) for application in piezoelectric actuators.
Smilowitz and Daganzo [26] incorporate the continuum approximation into a model that optimizes costs for a distribution system design problem.
This article presents a model that incorporates a continuum approach for the active sites to take account of the non-uniform activity of the Ziegler Natta catalyst.
Figliozzi [9] introduces a model to minimize emissions for the emissions vehicle routing problem with time windows, while Saberi and Verbas [22] complement his model with one that incorporates the continuum approximation and drops the time windows.
The performance-based design concept is incorporated in continuum topology optimization, which is treated as the problem of improving the performance of a continuum design domain in terms of the efficiency of material usage and overall stiffness.
The thermal fluctuations are incorporated into the continuum equations using the Landau and Lifshitz approach [1].
Surface tension is incorporated using the Continuum Surface Force (CSF) model.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com