The free vibration of isotropic gradient elastic thick non-rectangular microplates is analyzed in this paper. To capture the microstructure-dependent effects microplates, a negative second-order theory with symmetry utilized. related equations motion and boundary conditions are obtained using energy variational principle. A closed-form solution presented for simply supported free-vibrational re...

Given a straight-line triangulation T , an edge e in T is flippable if e is adjacent to two triangles that form a convex quadrilateral. A set of edges E in T is simultaneously flippable if each edge is flippable and no two edges are adjacent to a common triangle. Intuitively, an edge is flippable if it may be replaced with the other diagonal of its quadrilateral without creating edge-edge inter...

Multiwalled carbon nanotubes (MWCNTs) were covalently modified with different molecular weights 400 and 2000 poly(oxyalkylene)-amine bearing DGEBA epoxy (POA400-DGEBA and POA2000-DGEBA) oligomers via a grafting method. The weight-average molecular weights of POA400-DGEBA and POA2000-DGEBA were measured as 1623 and 9231 with polydispersity indices (PDIs) of 2.3 and 1.6, respectively. The oxidize...

This paper develops a computational model for nonlinear bending analysis of functionally graded (FG) plates using a four-node quadrilateral element SQ4T within the context of the first order shear deformation theory (FSDT). In particular, the construction of the nonlinear geometric equations are based on Total Lagrangian approach in which the motion at the present state compared with the initia...

The problem of mesh matching is addressed in this work. For a given n-sided planar region bounded by one loop of n polylines we are selecting optimal quadrilateral mesh from existing catalogue of meshes. The formulation of matching between planar shape and quadrilateral mesh from the catalogue is based on the problem of finding longest common subsequence (LCS). Theoretical foundation of mesh ma...

\The chance of : : : the quadrilateral formed by joining four points, taken arbitrarily within any assigned boundary, constituting a reentrant or convex quadrilateral, will serve as types of the class of questions in view." |J.J. Sylvester 11] We prove that two fundamental constants of the geometry of the plane are equal. First, if R is an open set in the plane with nite Lesbesgue measure, let ...

A new three-dimensional numerical model of a polymer electrolyte fuel cell (PEFC) with single straight channel was developed to primarily investigate the important impact double-sided microporous layer (MPL) coating on overall performance and distribution current oxygen concentration within cathode gas diffusion layers (GDLs). Realistic experimentally estimated interfacial contact resistance va...

At one of their meetings, Klein challenged the group to solve a complex problem in planar geometry. Klein proposed that the group consider five points on a flat surface, where no three of the five formed a straight line. It was obvious to all that when four of the points were joined, they formed a quadrilateral, but Klein also noticed that given five points, four of them always appeared to defi...

Hardware prominence after plate fixation for clavicle fracture is a common complication. The aim of the study was to perform a 3D analysis of the prominence of different types of superior clavicle plates. An automated fitting of 3 straight and 10 precontoured plates was performed on 52 3D-CT-scan reconstructed cadaver clavicles. The mean and maximum bone-plate distance and maximum prominence wa...