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81.
The problem of optimal material orientation is studied in the case of nonlinear elastic materials. Optimal orientations corresponding to extreme (maximal or minimal) energy density are obtained for orthotropic materials. The material behavior (the stress-strain relation) is simulated in a general form, which includes, as particular cases, different versions of the power law stress-strain relations. The optimality conditions are derived for the general cases. Local and global extremums are determined for particular cases.Presented at the 11th International Conference on Mechanics of Composite Materials (Riga, June 11–15, 2000).Tartu University, Estonia. Published in Mekhanika Kompozitnykh Materialov, Vol. 36, No. 4, pp. 445–454, March–April, 2000. 相似文献
82.
Stress Concentration in an Orthotropic Plate with a Circular Hole under Dynamic Loading 总被引:2,自引:0,他引:2
The paper sets forth a photoelastic method for the determination of the dynamic stress concentration factor near a hole in an orthotropic plate. The stress distribution at the periphery of a circular hole is analyzed. The stress concentration factors for orthotropic and isotropic plates under dynamic and statical loading are compared 相似文献
83.
This paper addresses the class of stress–strain problems for thin orthotropic cylindrical shells of arbitrary cross section under centrifugal loads. Separating out the variables for a simply supported shell yields a system of ordinary differential equations for which the boundary-value problem is solved by a stable numerical method. Study is made of the distribution of displacements in shells of elliptical cross section versus the ratio of ellipse exes and the eccentricity of the axis of revolution relative to the geometrical axis of symmetry 相似文献
84.
本文是文[1,2]工作的继续,给出了非完善正交异性复合矩形板在面内双向压缩作用下后屈曲平衡路径渐近表达式。 相似文献
85.
提出各向同性扁壳比拟法,分析满足条件D_3=D_(12)=(D_1D_2)~(1/2)的正交异性扁壳大挠度弯曲和超屈曲问题,导出了正交异性扁壳与各向同性扁壳之间,两种不同正交异性扁壳之间坐标变量、扁壳厚度和曲率半径、荷载、挠度、转角、弯矩、扭矩、中面应力的等价关系式,还证明了等价正交异性扁壳的几个等价不变量。 相似文献
86.
For the thermoelastic dynamic axisymmetric problem of a finite orthotropic hollow cylinder, one comes closer to reality to
involve the effect of axial strain than to consider the plane strain case only. However, additional mathematical difficulties
should be encountered and a different solution procedure should be developed. By the separation of variables, the thermoelastic
axisymmetric dynamic problem of an orthotropic hollow cylinder taking account of the axial strain is transformed to a Volterra
integral equation of the second kind for a function of time, which can be solved efficiently and quickly by the interpolation
method. The solutions of displacements and stresses are obtained. It is noted that the present method is suitable for an orthotropic
hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric thermal loads. Numerical comparison is made
to show the effect of the axial strain on the displacements and stresses.
The project supported by the National Natural Science Foundation of China (10172075) and China Postdoctoral Science Foundation
(20040350712) 相似文献
87.
本文采用Laplace-Fourier联合变换及传递矩阵方法导出了正交各向异性层状弹性半平面动力问题的时域奇异解的解析表达式,讨论了奇异解的数值实施。并把奇异解应用于边界元,计算了地下直墙拱结构的动力响应问题。 相似文献
88.
圆柱正交异性体三维弹性问题的一个解法 总被引:1,自引:0,他引:1
本文从三维弹性力学基本方程出发,导出了圆柱正交异性体三维弹性静、动态问题的状态方程,并进而求得以位移表达的控制方程.还对横观各向同性体的轴对称问题给出了一个完备闭合解.文中算例计算了一个横观各向同性组合圆柱体的轴对称问题. 相似文献
89.
The effect of a thin isotropic coating on the edge effect zone in a representative element of a coated material is examined.
Isotropic and transversely isotropic materials are considered. The transversely isotropic material has the elastic properties
of unidirectional glass-fiber-reinforced plastic. The decay of the edge effect in the directions perpendicular to the coating
plane and to the plane of isotropy is studied. A boundary-value problem of elasticity for piecewise-homogeneouse orthotropic
bodies and a quantitative edge effect decay criterion for normal stresses are used as a design model. The problem is solved
using the finite-difference method and base schemes. The results of evaluation of the edge effect zone in homogeneous and
inhomogeneous materials are presented. It is shown that the presence of a thin isotropic coating blocks the edge effect, that
is, decreases the edge effect zone in both isotropic and transversely isotropic materials
__________
Translated from Prikladnaya Mekhanika, Vol. 43, No. 12, pp. 61–67, December 2007. 相似文献
90.
V. S. Kirilyuk 《International Applied Mechanics》2004,40(12):1371-1377
The static-equilibrium problem for an elastic orthotropic space with a circular (penny-shaped) crack is solved. The stress state of an elastic medium is represented as a superposition of the principal and perturbed states. To solve the problem, Willis approach is used, which is based on the triple Fourier transform in spatial variables, the Fourier-transformed Greens function for an anisotropic material, and Cauchys residue theorem. The contour integrals obtained are evaluated using Gauss quadrature formulas. The results for particular cases are compared with those obtained by other authors. The influence of anisotropy on the stress intensity factors is studied.__________Translated from Prikladnaya Mekhanika, Vol. 40, No. 12, pp. 76–83, December 2004. 相似文献