部分应力杂交动力分析模型的混合变分原理

A MIXED VARIATIONAL PRINCIPLE FOR PARTIAL HYBRID STRESS MODEL OF DYNAMIC ANALYSIS AND ITS APPLICATION

本文通过对具有单重卷积积分的二类变量(σ_(ij)、μ_i)的Gurtin型混合变分原理进行修正,采用“部分应为杂交”的概念,建立了线弹性动力分析的部分应力杂交变分格式,并在此基础上构造出时间有限元模型。这种模型对于分层复合板的动力分析尤其适用。

By a modification of the mixed Gurtin variational principle in Laplace space, a variational formulation is developed in regard to interior displacements and the transverse shear components of stress in elements. The assumed transverse shear is not required to satisfy any field equation a priori, so that the formulation can be directly applied to transient analysis of dynamic responses. The corresponding computational model may be named as a model of partial hybrid stress and the implementation of which may be carried out by the time finite element method. The assumed transverse shear can be made to satisfy any condition of continuity, which makes this model especially useful for the analysis of laminated composite structures.