A mathematical theory of time-dependent dislocation mechanics of unrestricted geometric and material nonlinearity is reviewed. Within a ‘small deformation’ setting, a suite of simplified, but interesting, models, namely a nonlocal Ginzburg Landau, a nonlocal level set, and a nonlocal generalized Burgers equation are derived. In the finite deformation setting, it is shown that an additive decomp...

Using a small number of ERS InSAR images from 1996-2003 we have shown that deformation is occurring in Rotorua in a region located on the margin of the active thermal area. Subsidence in the area south of Kuirau Park at rates of up to 13mm/year during 1996 to 2000 are indicated, although the linearity of the deformation has not yet been confirmed. The Envisat data, available from 2003 onwards, ...

A simple interferometric method is described to measure the time-dependent deformation of piezoelectric bimorphs driven by ac voltage. Applying this method to a bimorph assembly used to measure viscoelastic forces in a surface forces apparatus, we find that a sinusoidal-shaped harmonic drive voltage generates sinusoidal deformation but that a triangular-shaped harmonic drive voltage fails to pr...

The onset of ventilator-induced lung injury (VILI) is linked to a number of possible mechanisms. To isolate the possible role of alveolar epithelial deformation in the development of VILI, we have developed an in vitro system in which changes in alveolar epithelial cell viability can be measured after exposure to tightly controlled and physiologically relevant deformations. We report here a stu...

A technique for measuring the instantaneous deformation rate of hydrogel microstructures is introduced. In developing this technique, we have adapted microscopic particle image velocimetry, a method for measuring velocity fields in microfluidic devices. Small fluorescent seed particles are incorporated into the hydrogel microstructure, and as the structure swells or contracts, the displacement ...

In this paper, we want to find a corner enhancement curve deformation approach. We consider General Geometric Heat Flow(GGHF) as a general deformation approach, and the evolution of curvature in the approach is derived. The criteria of curvature scale space are proposed and subjected to the GGHF. The conditions under which the corner can be enhanced are also studied. From all these constraints,...

We present an analytic study of the phase diagram of the one-dimensional t − J model and a couple of its cousins. To deal with the interactions induced by the no double occupancy constraints, we introduce a deformation of the Hubbard operators. When the deformation parameter ∆ is small, the induced interactions are softened, accessible by perturbation theory. We combine bososnization with renor...

We introduce a new framework for non-linear, non-reconstructive deformation of volumetric datasets. Traditional techniques for deforming volumetric datasets non-linearly usually involve a reconstruction stage, where a new deformed volume is reconstructed and then sent to the renderer. Our intuitive sweep-based technique avoids the drawbacks of reconstruction by creating a small attribute field ...

Deformation of soft tissue is a significant simulation part in minimally invasive surgery. This paper presents a dynamic nonlinear finite element method for modeling of soft tissue deformation. This method models large-range deformation via the second-order Piola-Kirchhoff stress. It condenses the stiffness matrix to reduce the degrees of freedom of the entire soft body at each node for every t...

Deformation of soft tissue is a significant simulation part in minimally invasive surgery. This paper presents a dynamic nonlinear finite element method for modeling of soft tissue deformation. This method models large-range deformation via the second-order Piola-Kirchhoff stress. It condenses the stiffness matrix to reduce the degrees of freedom of the entire soft body at each node for every t...