Generalized Fourier series solution of torsion of an elliptic beam with microstructure
نویسندگان
چکیده
h this paper, we use a generalized Fourier series to approximate the solution of a boundary value problem describing the torsion of an elliptic micropolar beam. We provide an example demonstrating the effect of material microstructure. @ 2004 Elsevier Ltd. All rights reserved. Keywords-Linear micropolar elasticity, Generalized Fourier series, Torsion, Material microstructure.
منابع مشابه
Analytical and Numerical Study on the Buckling of Homogeneous Beams Coated by a Functionally Graded Porous Layer with Different Boundary Conditions
In this paper, static buckling of homogeneous beams coated by a functionally graded porous layer with different boundary conditions is investigated based on the Timoshenko beam theory. The principle of virtual work has been used to obtain the governing equations. Two different methods, namely analyticalsolution and numerical solution are used to solve the governing equations and extract the buc...
متن کاملCrack analysis of an orthotropic circular bars reinforced by a magnetic coating under Saint-Venant torsion
This paper presents an analytical solution for an orthotropic circular cross section bar with a magnetic coating weakened by multiple arbitrary oriented cracks under Saint-Venant torsion by means of the distributed dislocation technique. At first, the solution of the orthotropic bar with a magnetic coating weakened by a Volterra-type screw dislocation is achieved with the aid of the finite Four...
متن کاملSaint-Venant torsion of non-homogeneous anisotropic bars
The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized Neumann type boundary condition. The problem is solved using the Analog Equation Method (AEM)...
متن کاملOn the Exact Solution of Non-Uniform Torsion for Beams with Asymmetric Cross-Section
This paper deals with the problem of non-uniform torsion in thin-walled elastic beams with asymmetric cross-section, removing the basic concept of a fixed center of twist, necessary in the Vlasov’s and Benscoter’s theories to obtain a warping stress field equivalent to zero. In this new torsion/flexure theory, despite of the classical ones, the warping function will punctually satisfy the first...
متن کاملAn Analytical and Semi-analytical Study of the Oscillating Flow of Generalized Burgers’ Fluid through a Circular Porous Medium
Unsteady oscillatory flow of generalized Burgers’ fluid in a circular channel tube in the porous medium is investigated under the influence of time-dependent trapezoidal pressure gradient given by an infinite Fourier series. An exact analytical expression for the solution for the fluid velocity and the shear stress are recovered by using the similarity arguments together with the integral trans...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 17 شماره
صفحات -
تاریخ انتشار 2004