Sentence examples for based on continuum theory from inspiring English sources

The governing equation of a micro-beam deflection is obtained using Hamilton's principle and also the governing equations of thermo-diffusive elastic damping are established by using two dimensional non-Fourier heat conduction and non-Fickian mass diffusion models with one relaxation time based on continuum theory frame.

Previous mathematical models describing the melting of nanoparticles based on continuum theory exist, for instance [21 23].

X-ray or neutron diffraction patterns are simulated by convoluting defect specific profile functions based on continuum theory of elasticity.

The graphene is modeled based on continuum plate theory and axial stress caused by the thermal effects is also considered.

To address the first two issues, the paper presents a monolithic formulation based on continuum mechanics theory which simultaneously calculates the electric potential and structural displacements.

Two different methods are used for cross verification: a dipole-interaction model and a finite-element simulation based on continuum field theories.

However, these models are based on continuum or scattering theory, and therefore cannot explain the broadband measurements in cases where scattering and non-scattering losses co-exist.

In the low-velocity impact simulation, damage development and the failure process of the repaired laminate plates are analyzed based on continuum damage mechanics (CDM) theory which is derived from 3D Hashin failure criteria, and a cohesive zone model (CZM).

The moment-curvature constitutive law is based on continuum damage mechanics arguments (CDM theory).

Based on continuum mechanics, the Donnell shell theory is utilized to derive the critical buckling governing equations for carbon nanotubes subjected to combined thermo-electro-mechanical loadings.

In addition, the flow of deformable PPG in porous media cannot be simulated by the classical seepage flow theory based on continuum assumptions.