An adaptive discretization refinement strategy for steady state discrete mesoscale models of coupled mechanics and mass transport in concrete is presented. Coupling provided by two phenomena: the Biot's theory poromechanics an effect cracks on material permeability coefficient. The model kinematics derived from rigid body motion Voronoi cells obtained tessellation domain. Starting with a coarse...

A simplified finite element model of the human lumbar intervertebral disc was utilized for understanding nucleus pulposus implant mechanics. The model was used to assess the effect of nucleus implant parameter variations on the resulting compressive biomechanics of the lumbar anterior column unit. The effects of nucleus implant material (modulus and Poisson's ratio) and geometrical (height and ...

The denomination Fractional Order Calculus has been widely used to describe the mathematical analysis of differentiation and integration to an arbitrary non-integer order, including irrational and complex orders. First proposed around three hundred years ago, it has attracted much interest during the past three decades (Oldham & Spanier (1974), Miller & Ross (1993), Podlubni (1999)). The increa...

here, the concept of quantum potential that has been illustrated in extended phase space (eps) in previous works is explored for its marginal behavior. unlike in configuration space, different representations of the quantum mechanics can be found in eps when exploiting appropriate canonical transformations. these canonical transformations revealed that there exist several representations in whi...

The sculpting of embryonic tissues and organs into their functional morphologies involves the spatial and temporal regulation of mechanics at cell and tissue scales. Decades of in vitro work, complemented by some in vivo studies, have shown the relevance of mechanical cues in the control of cell behaviors that are central to developmental processes, but the lack of methodologies enabling precis...