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Large ensembles of screw dislocations can be described by a continuum theory.
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We present a numerical study of the elastic properties of bulk nanocrystalline materials based on a continuum theory, introduced by Fried and Gurtin (2009), for nanoscale polycrystalline elasticity that captures length-scale effects and accounts for interactions across grain boundaries via interface and junction conditions.
We constructed a continuum theory of carbon phases based on the Landau theory of phase transitions.
This concept is further advanced in a non-Euclidian geometry to demonstrate that the observed microrotation is captured by higher-order gradients in a micropolar continuum theory.
Hammes-Schiffer and co-workers used a multistate continuum theory in part of their theoretical treatment of PCET by developing the formalism for direct application.
The results of numerical simulations of the Young's modulus are consistent with theoretical predictions by continuum theory.
This fundamental setting provided by the classical continuum theory of dislocation systems has, over the past two decades, inspired many models (e.g. (Sedláček et al. 2003; Xiang 2009; Zhu and Xiang 2015)).
Under in-plane loading since the linear elastic small deformation theory gives only a trivial solution, in this study the plane strain interface crack problem for a graded coating bonded to a homogeneous substrate is formulated by using a kinematically nonlinear continuum theory.
First, the continuum model is completed by a generalized second gradient continuum theory.
A key conclusion found is that, only for networks with a high degree of bonding, can the mechanical behavior around a macroscopic singularity be captured by the classical local continuum theory.
The nonlinear model of a single-walled carbon nanotube (SWCNT) modeled as a nanobeam embedded in a Kelvin-Voigt viscoelastic medium is developed by using the nonlocal continuum theory.
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