A framework is formulated within the theory of mixtures for continuum modeling of biological tissue growth that explicitly addresses cell division, using a homogenized representation of cells and their extracellular matrix (ECM). The model relies on the description of the cell as containing a solution of water and osmolytes, and having a porous solid matrix. The division of a cell into two near...

Atomic-scale modeling of self-positioning GaAs-InAs nanostructures is performed. Curvature radius values obtained by the atomic-scale finite element method are compared with a continuum mechanics solution under plane strain conditions. Atomic-scale modeling and continuum mechanics solution predict same curvature radius for structures with large thickness. However, atomic-scale modeling shows si...

Elastic metamaterials have unusual microstructures that can make them exhibit unusual dynamic behavior. For instance, if treated as classical elastic solids, these materials may have frequency-dependent effective mass densities which may become negative in certain frequency range. In this study, an approach for developing microstructure continuummodels to represent elastic metamaterials was pre...

The metal-organic framework beryllium benzene tribenzoate (Be-BTB) has recently been reported to have one of the highest gravimetric hydrogen uptakes at room temperature. Storage at room temperature is one of the key requirements for the practical viability of hydrogen-powered vehicles. Be-BTB has an exceptional 298 K storage capacity of 2.3 wt % hydrogen. This result is surprising given that t...

In this article the problem of an interface fracture between two isotropic linear elastic materials is studied within a continuum modeling framework, which incorporates important nanoscale effects. The proposed model of bi-material crack ascribes curvature-dependent surface tension to both the fracture surfaces and the solid-solid interface. Further, it uses as boundary conditions the jump mome...

Carbon nanotubes (CNTs) are regarded as small but strong due to their nanoscale microstructure and high mechanical strength (Young's modulus exceeds 1000 GPa). A longstanding question has been whether there exist other nanotube materials with mechanical properties as good as those of CNTs. In this study, we investigated the mechanical properties of single-walled aluminosilicate nanotubes (AlSiN...

This paper familiarizes the audience with the Triune Continuum Paradigm, a paradigm that provides philosophically supported theoretical foundations for system modeling in general and in particular for Information Systems engineering. The paper presents theoretical foundations of the paradigm; in particular it presents some of the key features of the theory of Triune Continuum, one of the three ...

An atomistic level stress tensor is defined with physical clarity, based on the SPH method. This stress tensor rigorously satisfies the conservation of linear momentum, and is appropriate for both homogeneous and inhomogeneous deformations. The formulation is easier to implement than other stress tensors that have been widely used in atomistic analysis, and is validated by numerical examples. T...