In our research, the magnetic field-induced deformation of isotropic magnetorheological elastomer (MRE) discs loaded with two types magnetite and an iron powder were examined. A measurement system using a microscope camera was assembled, magnitude determined from optical contour obtained digital image processing. We found that MRE height-to-width aspect ratio 1:2 underwent expansion in directio...

In this paper, the author addresses the issue of designing a theoretically well-motivated and computationally efficient method ensuring topology preservation on image-registration-related deformation fields. The model is motivated by a mathematical characterization of topology preservation for a deformation field mapping two subsets of Z2, namely, positivity of the four approximations to the Ja...

The drift velocities of spiral waves driven by a periodic mechanic deformation or a constant or periodic electric field are obtained under the weak deformation approximation around the spiral wave tip. An approximate formula is derived for these drift velocities and some significant results, such as the drift of spiral waves induced by a mechanical deformation with v53v0 , are predicted. Numeri...

Most natural deformation involves simultaneous discrete deformation (e.g. faults) and distributed deformation (e.g. penetrative strain). In order to properly understand the bulk kinematics of a given deformation, the discrete and distributed components must be evaluated simultaneously. The displacement diagram method has previously been utilized to quantify strain accommodated by faults or othe...

In this paper we use the deformation procedure introduced in former work on deformed defects to investigate several new models for real scalar field. We introduce an interesting deformation function, from which we obtain two distinct families of models, labeled by the parameters that identify the deformation function. We investigate these models, which identify a broad class of polynomial inter...

Tracking tissue deformation is often hampered by material inhomogeneity, so local measurements tend to be insufficient thus lending to the necessity of full-field optical measurements. This study presents a novel approach to factoring heterogeneous deformation of soft and hard tissues in a fracture callus by introducing an anisotropic metric derived from the deformation gradient tensor (F). The...