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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.
For large-scale engineering applications, macroscopic phenomenological damage mechanics models with less complexity are usually applied due to their high computational efficiency and simple implementation procedures in finite element simulations.
One might expect the hypotheses connecting chaos models with idealized physical systems to piggy back on the hypotheses connecting classical mechanics models with their corresponding idealized physical systems.
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Continuum damage mechanics model with consideration of crack direction is developed for the prediction of fracture behavior in fiber reinforced polymer (FRP) composites under quasi-static load.
The measurements are compared to the predictions from a corresponding contact mechanics model with trial values of damping parameters on the basis of a particular residue; both parameters are quantified based on the minimization of this residue.
Our method is based on fitting the resonance frequencies obtained from the Brownian motion in molecular dynamics simulations, to those obtained from a continuum mechanics model, with bending rigidity and pretension as the fit parameters.
We highlight similarities and differences of the present model with usual damage mechanics models and with pseudo-elasticity.
The three-phase micromechanics, the shear-lag, and the continuum fracture mechanics models were integrated with a statistical model in the repeating unit cell to predict the progressive damages and fatigue life of the composite structures.
It is designed specifically to overcome drawbacks in existing molecular structural mechanics models, which are not consistent with their underlying chemical force fields in terms of energy.
The models of roughness description by using simple parabolic functions described in Part I are here tested with different contact mechanics models.
The experimental data is shown to agree well with performance indices predicted by mechanics models.
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