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An analytical model is proposed to study the size-dependent mechanical response of the film based on continuum surface elasticity.
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The multiscale framework is developed by linking macroscopic transport phenomena based on continuum mechanics models with nanoscale surface events which are simulated stochastically.
In this study, mathematical models for computing Ni and Np were formulated based on continuum fracture-mechanics, the work potential theory, and pseudo-strain energy and surface energy concepts.
Continuum models are based on continuum mechanics and allow the coupling of mechanical, hydraulic and thermo-mechanical behaviour.
It is based on continuum, pseudo-fluid approximation.
Previous mathematical models describing the melting of nanoparticles based on continuum theory exist, for instance [21 23].
Section 4 presents the application of the zero reflection controller based on continuum equations.
A damage model was proposed based on continuum damage mechanics (CDM).
The moment-curvature constitutive law is based on continuum damage mechanics arguments (CDM theory).
Those models are based on continuum mechanics, and consider Plastic Damage Model to simulate concrete behavior.
An approach based on continuum damage mechanics to fatigue life prediction for structures is proposed.
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