构造连续应力场的有限元差分法

本文从构造连续应力场出发,通过建立节点位移与节点应变之间的差分格式,给出一种新的计算方法——有限元差分法。算例表明,该方法具有较高的计算精度,且程序设计规范,可以方便地用于各种工程结构。

弹性力学中的一种有限元高精度方法

给出了一种有限元高精度方法，即有限元差分法的一般构造原理。用这种方法形成的总刚度阵是带状对称的。收敛性分析指出，该方法的应力场收敛于最小势能解答。数值算例表明，该方法的应力及位移解答精度均显著高于经典有限元法。另外该方法具有规范的列式。

Experimental Investigation of Dimensionless Velocity and Shearing Stress in Boundary Layer Flow on Continuous Moving Surface in Power Law Fluids

An analysis is carried out to study the steady flow characteristics from a continuous flat surface moving in a parallel free stream of non-Newtonian power law fluid. The constitutive equations of the fluid are transformed into dimensionless ones. The velocity field is measured by Particle Image Velocimetry. Experimental results are obtained for the distribution of velocity. The influence of wall velocity ratio parameter on boundary layer flow field is observed in the experiment. Dimensionless velocity distribution and shearing stress distribution are obtained by post-processing experimental results. The effects of various physical parameters like velocity ratio parameter and similarity variable on various momentum transfer characteristics are discussed in detail and shown graphically. It is indicated that dimensionless velocity increases with velocity ratio parameter and similarity variable, and that dimensionless shearing stress decreases with velocity ratio parameter and similarity variable.