损伤粘弹性梁-柱的广义变分原理

On the generalized variational principle of viscoelastic beam columns with damage

从损伤的粘弹性材料的卷积型本构关系出发,建立了在小变形下损伤粘弹性梁-柱的控制方程,提出了以卷积形式表示的损伤粘弹性梁-柱弯曲问题的泛函,并给出了损伤粘弹性梁-柱的广义变分原理。应用这个广义变分原理,可分别给出梁-柱位移和损伤满足的基本方程,以及相应的初始条件和边界条件。

According to the constituent model expressed by convolution method for viscoelastic solids with damage, the generalized motion equations of viscoelastic beam columns with damage are derived under small deformation. The convolution-type functional for the bending of viscoelastic beam columns with damage and the generalized variational principle of viscoelastic beam column with damage are presented. By means of the generalized variational principle, the basic equations of the displacement and the damage variables and the initial and boundary conditions can be obtained.