In this paper, a variation of Murakami’s Zig-Zag theory is proposed for the analysis of functionally graded plates. The new theory includes a hyperbolic sine term for the in-plane displacements expansion and accounts for through-the-thickness deformation, by considering a quadratic evolution of the transverse displacement with the thickness coordinate. The governing equations and the boundary c...

In the last 10 years a unified approach to creating 3D models from multiple images has been developed by Beardsley[1],Hartley[4,5,9],Torr[1,6] and Zisserman[1,9]. In principle it allows point and line features that can be distinguished from more than one point of view in 2D images to be automatically converted into points in a 3D world coordinate model. If a sufficient number of vertices or poi...

Microscale heterogeneity in the extracellular matrix (ECM) provides spatial information that allows tissues to develop and function properly in vivo. This heterogeneity in composition (chemistry) and structure (geometry) creates distinct microenvironments for the cells that comprise a tissue. In response, populations of cells can coordinate their behaviors across micrometer-to-millimeter length...

Hyperbolic complex manifolds have been studied extensively during the last 30 years (see, for example, [10], [11]). However, it is still an important problem in hyperbolic geometry to understand the algebro-geometric and the differential-geometric meaning of hyperbolicity. The use of jet bundles has become a powerful tool to attack this problem. For example, Green and Griffiths ([5]) explained ...

A long tunnel is a typical linear man-made infrastructure. The shape, especially the cross-sectional shape, and geometric parameters of the tunnel are very important for the safety of transportation. A multi-sensor integration approach is presented to survey the shape of the tunnel dynamically. With efficient collection of high-precision spatial points of structure surface, a laser scanner is w...

The subject of linear convergence of gradient-type methods on non-strongly convex optimization has been widely studied by introducing several notions as sufficient conditions. Influential examples include the error bound property, the restricted strongly convex property, the quadratic growth property, and the KurdykaLojasiewicz property. In this paper, we first define a group of error bound con...

Large-scale `1-regularized loss minimization problems arise in high-dimensional applications such as compressed sensing and high-dimensional supervised learning, including classification and regression problems. High-performance algorithms and implementations are critical to efficiently solving these problems. Building upon previous work on coordinate descent algorithms for `1-regularized probl...

We present a full Eulerian method, termed solid level set (SLS) method, for modeling of a class of fluid–structure interactions (FSI) problems soft solid body can deform significantly but remains nearly incompressible. The SLS method is based on the unified momentum equation framework in which the solid–fluid interactions are modeled by introducing a solid body force term and a solid–fluid inte...