We show that a surface of general type has a canonical symplectic structure (up to symplectomorphism) which is invariant for smooth deformation. Our main theorem is that the symplectomorphism type is also invariant for deformations which also allow certain normal singularities, called Single Smoothing Singularities ( and abbreviated as SSS), or yielding Q-Gorenstein smoothings of quotient singu...

This paper reports on an experimental study on the ploughing or orthogonal cutting in sand. Plane strain cutting or ploughing experiments were carried out on model Ottawa sand while being imaged at high resolution. The images obtained were further processed using image analysis and the evolution of the velocity and deformation fields were obtained from these analysis. The deformation fields sho...

The self-consistent Eulerian rate-type elastoplastic model based on the logarithmic rate is used to study finite bending of a compressible elastic-perfectly plastic rectangular block. It is found that an explicit closed-form solution for this typical inhomogeneous finite deformation mode may be available in a general case of compressible deformation with a stretch normal to the bending plane, w...

The purpose of this paper is to establish the thermodynamical description of thermochemical mechanisms of DNA deformation at packing it into a cell. The problem of packing of a DNA molecule in a cell is very actual because its length is much more then the diameter of a typical cell. For example, the total length of the DNA molecule from a human cell is about 2m and the cell diameter is 10−5m. F...

Computer vision researchers have been expecting that neural networks have spatial transformation ability to eliminate the interference caused by geometric distortion for a long time. Emergence of spatial transformer network makes dream come true. Spatial transformer network and its variants can handle global displacement well, but lack the ability to deal with local spatial variance. Hence how ...

In this paper a numerical approach of the elasto-plastic problem with mixed hardening in the plane stress state, within the classical constitutive framework of small deformation, is proposed. In the formalized problem, the non-zero normal component of the strain (namely, the component in the direction perpendicular to the plane of stress) is considered to be compatible with the plane stress. We...

Constitutive laws and crystal plasticity in diamond deformation have been the subjects of substantial interest since synthetic diamond was made in 1950's. To date, however, little is known quantitatively regarding its brittle-ductile properties and yield strength at high temperatures. Here we report, for the first time, the strain-stress constitutive relations and experimental demonstration of ...

In this paper, we propose a novel technique to address motion estimation and tracking. Such technique represents the motion field using a regular grid of thin-plate splines, and the moving objects using an implicit function on the image plane that is a cubic interpolation of a ”level set function” defined on this grid. Optical flow is determined through the deformation of the grid and consequen...

By a theorem of Mclean, the deformation space of an associative sub-manifolds of an integrable G2 manifold (M, ϕ) at Y ⊂ M can be identified with the kernel of the Dirac operator D / : Ω 0 (ν) → Ω 0 (ν) on the normal bundle ν of Y. We generalize this to non-integrable case, and also show that the deformation space becomes smooth after perturbing it by natural parameters, which corresponds to mo...

fiber metal laminates are hybrid laminates consisting of thin alternating bonded layers of aluminum and fiber/epoxy. arall (aramid aluminum laminate) and galare (glass fiber reinforced aluminum laminate) are specific kinds of fiber metal laminates that consist of thin aluminum sheets along with kevlar/epoxy and glass/epoxy composite layers, respectively. in this study, nonlinear tensile behavio...