边坡失稳问题的非局部损伤本构建模  

A Nonlocal Damage Constitutive Model for Slope Slip Problem

作　　者：张宇 卢广达 夏晓舟[1] ZHANG Yu;LU Guangda;XIA Xiaozhou(Department of Engineering Mechanics,College of Mechanics and Materials,Hohai University,Nanjing 211100,China;College of Civil Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]河海大学力学与材料学院工程力学系,南京211100 [2]同济大学土木建筑工程学院,上海200092

出　　处：《河南科学》2020年第4期599-604,共6页Henan Science

基　　金：国家重点研发计划十三五专项项目(2017YFC1502603);国家自然科学基金项目(51879260,11672101)。

摘　　要：借鉴近场动力学的思想,任意一点的损伤状态由围绕该点的断键情形来评估.通过引入能量退化函数,构建了一个有限元框架下的非局部损伤本构模型,该模型能够克服键基近场动力学的泊松比限制,又能反映剪切破坏的力学行为.有限元建模时仅需对可能出现破坏的区域进行网格加密,应用提出的非局部损伤本构模型,就能准确捕捉破坏过程中的裂纹或滑移带的发展.四点剪切梁的例子验证了本模型的可靠性和高效性,最后应用到边坡的失稳模拟上,取得了非常好的效果.Inspired by the idea of peridynamics,the damage of any point is evaluated by the broken bond around the point.By introducing a stiffness degradation function,a non-local damage constitutive model is built,which can overcome the bond Poisson’s ratio limitation of peridynamics and can also reflect the mechanical behavior of shear failure.In finite element modeling,it only needs to perform mesh encryption on the area where damage may occur.And by applying the proposed non-local damage constitutive model,the cracking or sliding process can be tracked accurately.The reliability and high efficiency of the model are verified with the example of a four-point shear beam.Finally,it is applied to the simulation of slope instability and an excellent result has been achieved.

关 键 词：非局部损伤本构模型 刚度退化函数 多尺度有限元 四点剪切梁 边坡失稳模拟 

分 类 号：TV313[水利工程—水工结构工程]