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– We present a simple mesoscale field theory inspired by rate-independent plasticity that reflects the symmetry of the deformation process. We parameterize the plastic deformation by a scalar field which evolves with loading. The evolution equation for that field has the form of a Hamilton-Jacobi equation which gives rise to cusp-singularity formation. These cusps introduce irreversibilities an...

A method for non-rigidly deforming 3D PET datasets is described. The method uses a Lagrangian motion field description and a forward deformation mapping. To regularize the deformation, an anisotropic strain energy function is used that separately models the material properties of cardiac and background tissues. The method is applied to motion compensation in PET so that different time frames of...

Let k be a perfect field of characteristic p ≥ 3. Let X be a non-supersingular K3 surface over k, and Ψ the enlarged formal Brauer group associated to X . We consider the deformation space of X . In this note, we show that the local moduli space M◦◦ of X with trivial associated deformation of Ψ admits a natural p-divisible formal group structure.

A technique based on high-speed digital photography and image correlation for direct whole-field strain mapping of Portevin–Le Chatelier deformation bands is described. Results for a type B band show that the deformation band was formed within a few milliseconds and remained stationary as no motion of the band was detected. 2005 Published by Elsevier Ltd. on behalf of Acta Materialia Inc.

We discuss the q deformation of Weyl-Heisenberg algebra in connection with the von Neumann theorem in Quantum Mechanics. We show that the q-deformation parameter labels the Weyl systems in Quantum Mechanics and the unitarily inequivalent representations of the canonical commutation relations in Quantum Field Theory. PACS 02.20.+b; 03.65.Fd; 11.30.Qc;

The Shanxi rift valley is a continental system that characterized by mantle uplift, crustal thinning, and tectonic deformation. A continuous, vertical crustal-deformation field can elucidate the constraints for understanding mechanisms currently driving deformation of rift. Accordingly, we acquired processed data from 250 continuous mobile GPS stations located in its surrounding region. Account...

We propose numerical algorithms for solving large deformation diffeomorphic image registration problems. We formulate the nonrigid image registration problem as a problem of optimal control. This leads to an infinite-dimensional partial differential equation (PDE) constrained optimization problem. The PDE constraint consists, in its simplest form, of a hyperbolic transport equation for the evol...

The prolate-to-oblate shape transition of phospholipid vesicles in response to frequency variation of an AC electric field can be explained by the dielectric anisotropy of a phospholipid bilayer Abstract. The external electric field deforms flaccid phospholipid vesicles into spheroidal bodies, with the rotational axis aligned with its direction. Deformation is frequency dependent: in the low fr...