A new representation for the properties of anisotropic elastic fiber reinforced composite materials

Gaith, MS
Akgoz, CY
A new procedure based on constructing orthonormal tensor basis using the form-invariant expressions which can easily be extended to any tensor of rank n. A new decomposition, which is not in literature, of the stress tensor is presented. An innovational general form and more explicit physical property of the symmetric fourth rank elastic tensors is presented. A new method to measure the stiffness and piezoelectricity in the elastic fiber reinforced composite and piezoelectric ceramics materials using the norm concept on the crystal scale. This method will allow to investigate the effect of fiber orientaion, number of plies, material properties of matrix and fibers, and degree of anisotropy on the stiffness of the structure. The results are compared with those available in the literature for semiconductor compounds, piezoelectric ceramics and reinocored composite materials.


Yasaroglu, Yagiz; Alatan, Abdullah Aydın (2011-05-18)
A 3D-2D watermarking method using perspective projective invariance is proposed. Data is embedded in relative positions of six points on a 3D mesh by translating one of them, and extracted from any 2D view generated as long as the points remain visible. To evaluate the performance of the perspective invariant, a watermarking system with a very simple interest point detection method is implemented. Simulations are made on six 3D meshes with different watermark strengths and view angles. Very promising result...
Some conditions for a co-semigroup to be asymptotically finite-dimensional
Emelyanov, Eduard (2003-09-01)
We study the class of bounded C-0-semigroups T = (T-t)(tgreater than or equal to0) on a Banach space X satisfying the asymptotic finite dimensionality condition: codim X-0(T) infinity)parallel toT(t)xparallel to = 0}. We prove a theorem which provides some necessary and sufficient conditions for asymptotic finite dimensionality.
Numerical solution of nonlinear reaction-diffusion and wave equations
Meral, Gülnihal; Tezer, Münevver; Department of Mathematics (2009)
In this thesis, the two-dimensional initial and boundary value problems (IBVPs) and the one-dimensional Cauchy problems defined by the nonlinear reaction- diffusion and wave equations are numerically solved. The dual reciprocity boundary element method (DRBEM) is used to discretize the IBVPs defined by single and system of nonlinear reaction-diffusion equations and nonlinear wave equation, spatially. The advantage of DRBEM for the exterior regions is made use of for the latter problem. The differential quad...
An improvement on the bounds of Weil exponential sums over Gallois rings with some applications
Ling, S; Özbudak, Ferruh (Institute of Electrical and Electronics Engineers (IEEE), 2004-10-01)
We present an upper bound for Weil-type exponential sums over Galois rings of characteristic p(2) which improves on the analog of the Weil-Carlitz-Uchiyama bound for Galois rings obtained by Kumar, Helleseth, and Calderbank. A more refined bound, expressed in terms of genera of function fields, and an analog of McEliece's theorem on the divisibility of the homogeneous weights of codewords in trace codes over Z(p)2, are also derived. These results lead to an improvement on the estimation of the minimum dista...
On construction of recursion operators from Lax representation
Gurses, M; Karasu, Atalay; Sokolov, VV (1999-12-01)
In this work we develop a general procedure for constructing the recursion operators for nonlinear integrable equations admitting Lax representation. Several new examples are given. In particular, we find the recursion operators for some KdV-type systems of integrable equations. (C) 1999 American Institute of Physics. [S0022-2488(99)03212-0].
Citation Formats
M. Gaith and C. Akgoz, “A new representation for the properties of anisotropic elastic fiber reinforced composite materials,” REVIEWS ON ADVANCED MATERIALS SCIENCE, pp. 138–142, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65378.