饱和轴对称黏弹性体的求解  

A solution of the saturated axial symmetrical viscoelastic body

作　　者：张斌[1] 赵颖华[1] 

机构地区：[1]大连海事大学道路与桥梁工程研究所,大连116026

出　　处：《计算力学学报》2012年第6期978-982,共5页Chinese Journal of Computational Mechanics

基　　金：中央高校基本科研业务费(2012TD015)资助项目

摘　　要：应用Laplace变换和Hankel变换求解Biot固结方程,得出了饱和半无限空间黏弹性体在均布荷载作用下的应力、位移和超孔隙水压力的显式解答。进行Kelvin模型黏弹性算例分析,从而验证了本文理论的准确性和有效性。计算表明:超孔隙水压力随着深度的增长先增加后减小,体积应变在荷载作用初期有明显的增加;随着时间的增长,体积应变的增加速度放缓。The explicit equations of stress, displacement and excess pore-water pressure are derived by solving Biot＇s consolidation equations through Laplace and Hankel transforms. An analysis is developed on semi-infinite viscoelastic body with Kelvin model. The reasonable results show that the present theory is correct and with high accuracy and efficiency. The results show that as the depth increases, the excess pore-water pressure first increases to its maximum and then decreases. The volume strain increases rap- idly in the early stages of the load. The speed of the volume stain＇s increase slows down with increasing time.

关 键 词：BIOT固结方程 黏弹性 积分变换 微分型本构关系 超孔隙水压力 

分 类 号：TU432[建筑科学—岩土工程]