In this paper, we present a theory of elastic images deformation and matching. Our theory is based on the physical theory of elastic deformation of a continuum, and is very general: it applies to matching n-dimensional images with n-dimensional templates. We derive the variational formulation of the optimal deformation problem, and the Euler-Lagrange equations to solve it. Also, we address the ...

Temper rolling or skin pass rolling is one of cold rolling processes composed of a horizontal pass cold rolling mill stand. In this process, the thick strip is subjected to very light reduction (0.5–4%) in thickness in the presence of high friction amplitudes. One of the basic parameters of strip rolling processes is temper rolling force. A new rolling force model has been proposed for temper r...

A thin elastic rod embedded in an elastic medium buckles into an exponentially decaying short wavelength profile under compressive loading beyond a critical value. In this study, we report a combined experimental and theoretical investigation of the buckling profile of a thin elastic rod embedded in an elastic gelatin biopolymer network when fracture of the network happens. Prior models have pr...

We introduce a novel approach for non-parametric non-rigid image registration using generalized elastic nets. The concept behind the algorithm is to adapt an elastic net in spatial-intensity space of one image to fit the second image. The resulting configuration of the net, when it achieves its minimum energy state, directly represents correspondence between images in a probabilistic sense and ...

A nonlinear isotropic elastic block is subjected to a homogeneous deformation consisting of simple shear superposed on triaxial extension. Two new relations are established for this deformation which are valid for all nonlinear elastic isotropic materials, and hence are universal relations. The first is a relation between the stretch ratios in the plane of shear and the amount of shear when the...

The elastic-electrostatic problem domain contains two charged bodies-one of them is a deformable elastic body with some geometric restraints, while the other is totally restrained and can be modeled as a rigid fixed body. Stresses, strains and deformations of the elastic body under electrostatic force are the quantities of interest. It is a two-way coupling problem, since the deformations is th...

The onset of nonlinear responses in near hard sphere suspensions is characterized as a function of oscillatory frequency and strain amplitude. At low frequencies where the viscous behavior dominates, the onset of nonlinearities is driven by increases in rate of strain. At high deformation frequency, where suspension mechanics is dominated by an elastic response, the nonlinear responses occur wh...

This paper discusses a motion planning method for assembling a ring-shaped elastic part to a cylindrical part by using a dual-arm manipulator. When assembling a ring-shaped elastic part, it is important to keep the amount of elastic deformation as small as possible during the assembly task. To achieve this purpose, we show that it is effective to utilize the Covariant Hamiltonian Optimization a...