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51.
应用Faber级数展开和各向异性体平面问题复应力函数的方法,对于含有任意个椭圆孔或裂纹的正交异性平面,给出了孔周应力场解或孔附近裂纹应力强度因子解,其特例与前人结果一致. 相似文献
52.
<正> 1、引言 流体运动总是同时受动力学和热力学规律的约制,通常处理流动问题时这两方面的考虑也总是交织在一起,例如,为了定义描述流动现象的诸流动变量,首先要假定每个流体质点微团是处于热力学平衡态,即假定流动系统满足“局域热平衡”条件。这样才可以定义各“点”的压力、密度、熵等变量。由于流动系统同时又是一个热力学系统,因此它的 相似文献
53.
研究了含直线裂纹系的压电材料平面应力问题单个裂纹和双裂纹问题的封闭解答表明,在裂纹尖端,应力、电场强度和电位移有1/2阶的奇异性并与前人结果比较了产生电场奇异性的物理因素 相似文献
54.
平面八节点四边形理性元 总被引:2,自引:0,他引:2
推导平面八节点四边形理性有限元列式,采用具有直到四次多项式的平面问题的微分方程的解作为插值函数,算例结果表明平面八节点四边形理性有限元的有效性。 相似文献
55.
Jiann-Quo Tarn 《Journal of Elasticity》2002,69(1-3):1-13
The issue of stress singularity in an elastic cylinder of cylindrically anisotropic materials is examined in the context of
generalized plane strain and generalized torsion. With a viewpoint that the singularity may be attributed to a conflicting
definition of anisotropy at r=0, we study the problem through a compound cylinder in which the outer cylinder is cylindrically anisotropic and the core
is transversely isotropic. By letting the radius of the core go to zero, the cylinder becomes one with the central axis showing
no conflict in the radial and tangential directions. Closed-form solutions are derived for the cylinder under pressure, extension,
torsion, rotation and a uniform temperature change. It is found that the stress is bounded everywhere, and singularity does
not occur if the anisotropy at r=0 is defined appropriately.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
56.
平面膜结构拓扑优化的有无复合体方法 总被引:18,自引:3,他引:18
将作者对桁架在应力约束下结构拓扑优化的有无复合体模型发展到平面膜结构在应力、位移约束下结构拓扑优化的建模与求解。同时提出了该模型的有效解法,获得了令人满意的数值结果。本文工作表明独立连续拓扑变量的提出对于结构拓扑优化的研究是有意义的。 相似文献
57.
J. J. Rushchitsky 《International Applied Mechanics》2005,41(11):1288-1298
General principles are formulated for modeling the elastic deformation of materials and analyzing plane waves in nonlinearly
elastic materials such as hyperelastic, hypoelastic, and those governed by the general law of elasticity. The results of studying
the propagation of plane waves in hypoelastic materials are further outlined. The influence of initial stresses and initial
velocities on the types and number of plane waves is studied. Wave effects characteristic of hypoelastic materials are predicted
theoretically. One of such effects is blocking of certain types of plane waves by initial stresses
__________
Translated from Prikladnaya Mekhanika, Vol. 41, No. 11, pp. 96–107, November 2005. 相似文献
58.
V. Z. Stankevich B. M. Stasyuk O. M. Khai 《Journal of Applied Mechanics and Technical Physics》2005,46(1):124-128
The three-dimensional dynamic problem of coplanar circular cracks in an elastic half-space with a clamped boundary condition is considered. The crack faces are subjected to harmonic loads. The problem is reduced to a system of two-dimensional boundary integral equations of the type of the Helmholtz potential for unknown discontinuities in the displacements of the opposite faces of the cracks. The stress intensity factors at the crack contours are obtained and discussed.Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 1, pp. 153–159, January–February, 2005 相似文献
59.
V. T. Golovchan 《International Applied Mechanics》2006,42(1):84-89
An algorithm for solving plane boundary-value problems of elasticity for a rectangular domain is expounded. The algorithm
is based on a complex-valued representation of the general solution to the differential equations of the plane problem and
on the use of Lagrange polynomials to satisfy the boundary conditions. The algorithm can quite easily be implemented in a
computer program. This is probably the simplest way of solving boundary-value problems of this class
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 1, pp. 97–102, January 2006. 相似文献
60.
A method is proposed to study the stress concentration around a shallow spheroidal crack in an infinite elastic body. The
stress concentration is due to the diffraction of a low-frequency plane longitudinal wave by the crack. The direction of wave
propagation is established in which the combined concentration of mode I and mode II stresses is maximum
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 1, pp. 70–77, January 2006. 相似文献