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1.
CHEN Jiang-ying CHEN Wei-qiu 《浙江大学学报(A卷英文版)》2007,8(7):1038-1043
The analytical solution for an annular plate rotating at a constant angular velocity is derived by means of direct displacement method from the elasticity equations for axisymmetric problems of functionally graded transversely isotropic media. The displacement components are assumed as a linear combination of certain explicit functions of the radial coordinate, with seven undetermined coefficients being functions of the axial coordinate z. Seven equations governing these z-dependent functions are derived and solved by a progressive integrating scheme. The present solution can be degenerated into the solution of a rotating isotropic functionally graded annular plate. The solution also can be degenerated into that for transversely isotropic or isotropic homogeneous materials. Finally, a special case is considered and the effect of the material gradient index on the elastic field is illustrated numerically. 相似文献
2.
INTRODUCTION For moderate thickness plate containing notches or holes, neither plane stress nor plane strain theory can describe its true deformation states (Jin and Hwang, 1989). This well known drawback has mo- tivated many analytical and numerical studies carried out to determine the effect of plate thickness on the in-plane stress distribution. Pioneering work on the along depth stress components, i.e. the K-M gener- alized plane strain theory was proposed by Kane and Mindlin (1956)… 相似文献
3.
INTRODUCTIONInelasticity ,theproblemofasimplysup portedcircularplatesubjectedtouniformloadsisaclassicone .Timoshenkoetal.(1970 )pre sentedasolutionforanisotropiccircularplate .Dingetal.(2 0 0 0 ;2 0 0 1)obtainedtheanalyti calthree dimensionalsolutionforat… 相似文献
4.
In this paper, the axisymmetric general solutions of transversely isotropic magnetoelectroelastic media are expressed with
four harmonic displacement functions at first. Then, based on the solutions, the analytical three-dimensional solutions are
provided for a simply supported magnetoelectroelastic circular plate subjected to uniform loads. Finally, the example of circular
plate is presented.
Project supported by the National Natural Science Foundation of China (No. 10172075) and Ningbo Natural Science Foundation
for Young Scientist (No. 02J20102-13) 相似文献
5.
The thermal behavior of a thick transversely isotropic FGM rectangular plate was investigated within the scope of three-dimensional
elasticity. Noticing many FGMs may have temperature-dependent properties, the material constants were further considered as
functions of temperature. A solution method based on state-space formulations with a laminate approximate model was proposed.
For a thin plate, the method was clarified by comparison with the thin plate theory. The influences of material inhomogeneity
and temperature-dependent characteristics were finally discussed, through numerical examples.
Project (No. 10002016) supported by National Natural Science Foundation of China 相似文献
6.
INTRODUCTION In isotropic elasticity a class of mixed boundary value problems for elastic half-space can be classified as axisymmetric torsion. In this case the elastic field in cylinder components takes a particularly simple form consisting of only one nonzero displacement and two nonzero stress components. For this loading case, Reissner and Sagoci (1944) were possibly the first to examine a mixed boundary problem between the tangential displacement and stress on the half-space surface.… 相似文献
7.
A three-dimensional, exact analysis is presented in this paper for the problem of an external circular crack in a transversely
isotropic piezoelectric medium subjected to arbitrary antisymmetric shear loading. A recently proposed general solution of
three-dimensional piezoelectricity is employed. It is shown that four quasi harmonic functions involved in the general solution
can be respresented by just one complex potential. Previous results in potential theory are then used to obtain the exact
solution of the problem. For point shear loading, Green’s functions for the elastoelectric field are derived in terms of elementary
functions.
Project supported by Scientific Research Foundation for Returned Overseas Chinese Scholars, State Education Ministry and partly
by National Natural Science Foundation of China (NSFC) (10002016). 相似文献
8.
ＩＮＴＲＯＤＵＣＴＩＯＮＡｓｋｎｏｗｎ ,ｔｈｅｒｍａｌｂｅｈａｖｉｏｒｓｏｆｓｔｒｕｃｔｕｒｅｓｍｕｓｔｂｅｃｏｎｓｉｄｅｒｅｄｉｎｍａｎｙｓｉｔｕａｔｉｏｎｓ.Ｓｔｕｄｙｏｆｔｈｅｒｍａｌｅｆｆｅｃｔｏｎｄｅｆｏｒｍａｔｉｏｎｓａｎｄｓｔｒｅｓｓｅｓｏｆ 相似文献
9.
EXACT SOLUTION OF AN EXTERNAL CIRCULAR CRACK IN A PIEZOELECTRIC SOLID SUBJECTED TO SHEAR LOADING 总被引：4，自引：0，他引：4
ＩＮＴＲＯＤＵＣＴＩＯＮＤｕｅｔｏｔｈｅｉｎｈｅｒｅｎｔｗｅａｋｎｅｓｓｏｒｂｒｉｔｔｌｅｎｅｓｓｏｆｐｉｅｚｏｅｌｅｃｔｒｉｃｃｅｒａｍｉｃｓ,ｔｈｅｆｒａｃｔｕｒｅｏｆｐｉｅｚｏ ｅｌｅｃｔｒｉｃｍａｔｅｒｉａｌｓｈａｓｇａｉｎｅｄｃｏｎｓｉｄｅｒａｂｌｅｉｎｔｅｒ ｅｓｔ.Ｍｏｓｔｐｕｂｌｉｓｈｅｄｗｏｒｋｓｄｅａｌｔｗｉｔｈｔｗｏ ｄｉｍｅｎ ｓｉｏｎａｌｓｔｕｄｙｏｆｃｒａｃｋｓｉｎｐｉｅｚｏｅｌｅｃｔｒｉｃｍａｔｅｒｉａｌｓ(Ｐａｋ ,1 990 ;Ｓｕｏｅｔａｌ.,1 992 ;ＺｈｏｎｇａｎｄＭｅｇｕｉ… 相似文献
10.
Analytical solution for functionally graded anisotropic cantilever beam under thermal and uniformly distributed load 总被引：1，自引：0，他引：1
HUANG De-jin DING Hao-jiang CHEN Wei-qiu 《浙江大学学报(A卷英文版)》2007,8(9):1351-1355
The bending problem of a functionally graded anisotropic cantilever beam subjected to thermal and uniformly dis-tributed load is investigated,with material parameters being arbitrary functions of the thickness coordinate. The heat conduction problem is treated as a 1D problem through the thickness. Based on the elementary formulations for plane stress problem,the stress function is assumed to be in the form of polynomial of the longitudinal coordinate variable,from which the stresses can be derived. The stress function is then determined completely with the compatibility equation and boundary conditions. A practical example is presented to show the application of the method. 相似文献
11.
The axisymmetric themoelastic problem of a uniformly heated, functionally graded isotropic hollow cylinder is considered.
An analytical form of solution is proposed. For the case when the Young's modulus and thermal expansion coefficient have a
power-law dependence on the radial coordinate, explicit exact solution is obtained. For the degenerated case, i.e. when the
cylinder is homogeneous and isotropic, no stresses will occur provided it is subjected to a uniform temperature. Numerical
results are finally given and some important inclusions are obtained.
Project (No.10002016) supported by the National Natural Science Foundation of China (NSFC). 相似文献
12.
在本文中，功的互等法（RTM）被推广应用于求解基于Reissner理论的厚矩形板的弯曲问题，得到了在任意一点作用集中荷载矩形厚板弯曲问题的解析解，并给出了具有实价的计算结果。 相似文献
13.
平面体波在各向异性媒质中的传播 总被引：1，自引：0，他引：1
Combining the linear transformation and the solution technique for the cubic equation,a general closed-form analyti solution for bulk waves in orthotropic anisotropic materials is obtained.This method is straightforward and general.Degenerated cases include transversely isotropic,cubic,and isotropic materials.Numerical computations are carried out on a fiber-reinforced composite plate modeled as a transversely isotropic media.The fibers are parallel to the top and bottom surfaces of the plate ,and they are rotated counterclockwise around the plate normal through different angles.The two-dimensional slowness curves corresponding to different rotations are presented graphically.The wave propagation characteristics displayed in slowness surfaces for different fiber orientation are analyzed. 相似文献
14.
Thermal-mechanical behavior of functionally graded thick plates, with one pair of opposite edges simply supported, is investigated based on 3D thermoelasticity. As for the arbitrary boundary conditions, a semi-analytical solution is presented via a hybrid approach combining the state space method and the technique of differential quadrature. The temperature field in the plate is determined according to the steady-state 3D thermal conduction. The Mori-Tanaka method with a power-law volume fraction profile is used to predict the effective material properties including the bulk and shear moduli, while the effective coefficient of thermal expansion and the thermal conductivity are estimated using other micromechanics-based models. To facilitate the implementation of state space analysis through the thickness direction, the approximate laminate model is employed to reduce the inhomogeneous plate into a homogeneous laminate that delivers a state equation with constant coefficients. The present solutions are validated by comparisons with the exact ones for both thin and thick plates. Effects of gradient indices, volume fraction of ceramics, and boundary conditions on the thermomechanical behavior of functionally graded plates are discussed. 相似文献
15.
基于Reddy三阶剪切变形理论,研究了功能梯度材料梁的线性弯曲问题,假设功能梯度材料性质只沿梁厚度方向变化,且服从幂函数规律,推导了问题的控制方程,考虑固支边界条件,并选用合适的计算结构,用微分求积法对其进行数值求解.利用数值结果考察了材料的梯度性质,载荷条件、细长比等对梁弯曲行为的影响.结果表明:相同条件下,FGM梁的挠度介于纯金属和纯陶瓷之间,并且随着梯度参数的增加,挠度在减小;随着FGM梁的细长比的增大,梁中心挠度迅速减小. 相似文献
16.
A practical method for computing the one-way rectangular orthotropicplate(isotropic plate as a special case)is suggested in this paper.The supported condi-tions in two opposite edges may be simply supported,continuous or supportednonsymmetrically and the other two opposite edges are slide-supported or free.A series ofsimplified formulas are given for calculating the bending moments along the cross section(loaded section),in which the acting point of the concentrated load or the center of a rec-tangular uniform load is located.The valid range and accuracy of these formulas were stud-ied and the approximate results were examined and compared extensively with those by thetriangular series solution or finite element method. 相似文献
17.
运用哈密顿体系方法给出了磁电弹性圆环板屈曲问题的解析解,并对磁电弹性圆环板的纯弯曲问题进行了分析.算例结果表明,采用哈密顿体系方法求解磁电弹性圆环板屈曲问题非常方便快捷. 相似文献
18.
In this study, Fabrikant (1989, 1991)'s new results in potential theory were used to obtain the exact and complete solution
for the problem of a penny-shaped crack in an infinite transversely isotropic piezoelectric body subjected to antisymmetric
point loads (point charges and normal point forces); then the complete solution for the problem of one-sided loading of a
penny-shaped crack was obtained by the superposition of the symmetric loading solution in Chen and Shioya (1999) and the antisymmetric
one presented here; and then the reciprocity theorem of piezoelectric media was used to deal with the problem of interaction
between arbitrarily located point forces and a point charge with a penny-shaped crack and obtained the exact expressions of
the crack faces' normal displacement in terms of elementary functions and some non-singular integrals; and finally obtained
the normal displacement of the positive and negative faces of the crack under many loading cases as shown in figures for an
infinite PZT-4 piezoelectric ceramic body weakened by a penny-shaped crack.
Project (19872060) supported by the Natural Science Foundation of China. 相似文献
19.
This paper presents an analytical layer-element method used to analyze the displacement of a multi-layered transversely isotropic
elastic medium of arbitrary depth subjected to axisymmetric loading. Based on the basic constitutive equations and the HU
Hai-chang’s solutions for transversely isotropic elastic media, the state vectors of a multi-layered transversely isotropic
medium were deduced. From the state vectors, an analytical layer element for a single layer (i.e., a symmetric and exact stiffness
matrix) was acquired in the Hankel transformed domain, which not only simplified the calculation but also improved the numerical
efficiency and stability due to the absence of positive exponential functions. The global stiffness matrix was obtained by
assembling the interrelated layer elements based on the principle of the finite layer method. By solving the algebraic equations
of the global stiffness matrix which satisfy the boundary conditions, the solutions for multi-layered transversely isotropic
media in the Hankel transformed domain were obtained. The actual solutions of this problem in the physical domain were acquired
by inverting the Hankel transform. This paper presents numerical examples to verify the proposed solutions and investigate
the influence of the properties of the multi-layered medium on the load-displacement response. 相似文献
20.
功的互等法解静水压力作用下厚矩形板的弯曲 总被引：3，自引：0，他引：3
应用功的互等法(RTM)求解基于Reissner理论的厚矩形板的弯曲问题，给出了三边简支一边固定厚矩形板在静水压力作用下弯曲的封闭解析解，并给出了该种情况下的曲线图。 相似文献