We generalise the notion of Heron triangles to rational-sided, cyclic n-gons with rational area using Brahmagupta’s formula for the area of a cyclic quadrilateral and Robbins’ formulæ for the area of cyclic pentagons and hexagons. We use approximate techniques to explore rational area n-gons for n greater than six. Finally, we produce a method of generating non-Eulerian rational area cyclic n-g...

Anisotropic local interpolation error estimates are derived for quadrilateral and hexahedral Lagrangian nite elements with straight edges. These elements are allowed to have diameters with diierent asymptotic behaviour in diierent space directions. The case of aane elements (parallelepipeds) with arbitrarily high degree of the shape functions is considered rst. Then, a careful examination of th...

Abstract In the present paper, the stiffening effect of carbon nanotubes is quantitatively investigated by micromechanics methods. The Mori-Tanaka effective-field method is employed to calculate the effective elastic moduli of composites with aligned or randomly oriented straight nanotubes. In addition, the epoxy resin is modified experimentally by adding SWCNT with different ratio i.e 0, 0.1, ...

A new mixed four-node quadrilateral element (MiQ4) is established in this paper to investigate functionally graded material (FGM) plates with variable thickness. The proposed developed based on the first-order shear deformation and finite technique, so does not need any selective or reduced numerical integration. Numerous basic tests have been carried out demonstrate accuracy convergence of ele...

In this paper, the effects of carbon nanotube (CNT) orientation and aggregation on the static behavior of functionally graded nanocomposite cylinders reinforced by CNTs are investigated based on a mesh-free method. The used nanocomposites are made of the straight CNTs that are embedded in an isotropic polymer as matrix. The straight CNTs are oriented, randomly or aligned or local aggregated int...

The purpose of this study is to estimate the structural properties and yield capacity CLT two-sided shear joints with plates drift pins. In order joints, embedding test a tensile were conducted confirm adaptability proposed equation for load based on theory. Specimens consisted two CLTs, plates, Parameters experiment presence position joints. Test results compared calculated values.

Transfinite surface interpolation is a classic topic of computer-aided geometric design (CAGD), and many non-quadrilateral schemes are known. Surfaces defined solely by means of their boundary curves and cross-tangent functions are needed, for example, in three-dimensional curve network-based design, and to fill complex irregular holes such as in vertex blending. This paper deals with interpola...