DERIVATION OF SOME SPECIAL STRESS FUNCTION FROM BELTRAMI-SCHAEFER STRESS FUNCTION

Using Beltrami-Schaefer stress function in the theory of elasticity in this paper,we derive the stress functions of torsion,plane problem,axisymmetric deformation in solid of revolution and torsion on solid of revolution.     

Derivation of some special stress function from Beltrami-Schaefer stress function

Using Beltrami-Schaefer stress function in the theory of elasticity in this paper, we derive the stress functions of torsion, plane problem, axisymmetric deformation in solid of revolution and torsion on solid of revolution.     

ON THE STOKES ENTRY FLOW INTO A SEMI-INFINITE CIRCULAR CYLINDRICAL TUBE

The problem of Stokes entry flow into a semi-infinite circular cylindrical tube wasstudied in this paper.A new kind of series solutions was derived.Their evident differencefrom the solutions in References[1,2]is that the present solutions don’t involve infiniteintegral.So they are favourable for calculation.We calculated an example by allocatedmethod and obtained satisfied results.     

一种推导Airy应力函数的方法

无体力时,平面问题的平衡方程为:     

从Beltrami-Schaefer应力函数导出几个特殊问题的应力函数

本文从弹性力学中的Beltrami-Schaefer应力函数出发,导出了扭转问题、平面问题、轴对称问题和回转体扭转问题的应力函数.     

On the Stokes entry flow into a semi-infinite circular cylindrical tube

The problem of Stokes entry flow into a semi-infinite circular cylindrical tube was studied in this paper. A new kind of series solutions was derived. Their evident difference from the solutions in References [1,2] is that the present solutions don ’t involve infinite integral. So they are favourable for calculation. We calculated an example by allocated method and obtained satisfied results.     

半无限长圆管内Stokes流的入口流

本文研究了半无限长圆管内Stokes流的入口流问题.我们导出了一种新的级数解,它与文献[1,2]的解有一个明显的区别就是该解中不包含无穷积分,因此有利于计算.本文利用配点法进行了计算,得到了满意的结果.