摘要
沿裂缝可能开展路径设置接触点对,将求解接触问题的有限元混合自由度法进行扩展,以实现混凝土断裂力学虚拟裂缝模型的数值模拟。把作用在结构上的力系分解为外力和接触缝面上的接触力,以结构的位移为基本未知量,而以缝面局部坐标系下的结点接触力为迭代变量,将非线性接触迭代收缩在可能接触缝面上进行,提高了计算效率。计算过程中缝面接触力和开口位移可以显式地求出,故可方便地引入各种类型的混凝土软化本构关系,实现混凝土断裂力学虚拟裂缝模型的数值模拟。首先给出了有限元混合自由度法求解接触问题的基本思路,然后引入混凝土软化本构关系,最后以数值算例说明了该文方法的正确性和有效性。
Pairs of contact points were set along the possible developing path of the crack. The Mixed Freedom Finite Element Method proposed for contact problems was extended to implement the mechanics of the concrete fracture numerical simulation by the Fictitious Crack Model. The system of forces acting on the structure was divided into two parts：external forces and contact forces. The displacement of structure was chosen as the basic variable and the nodal contact force in a possible contact region under a local coordinate system was chosen as the iterate variable,so that the nonlinear iteration process was only limited in the possible contact surface and much more economical. The contact forces and the opening of the crack can be obtained explicitly,so that the softening constitutive relation for the concrete can be introduced conveniently to implement the mechanics of the concrete fracture numerical simulation by the Fictitious Crack Model. Firstly,the basic idea of the Mixed Freedom Finite Element Method was presented. And then,the softening constitutive relation for the concrete was introduced to the method. At last,the validity and accuracy of the proposed procedure was demonstrated by a numerical example.
出处
《工程力学》
EI
CSCD
北大核心
2010年第5期60-67,共8页
Engineering Mechanics
基金
国家自然科学基金委员会项目(90510017
10702019)
"十一五"国家科技支撑计划重大项目(2006BAB04A03)
关键词
混凝土
虚拟裂缝模型
接触
有限元
软化
concrete
fictitious crack model
contact
finite element method
softening
作者简介
作者简介：赵兰浩（1980-），男，山东临沂人，副教授，博士，从事水工结构研究（E—mail：zhaolanhao@hhu．edu．cn）；
李同春（1963-），男，江苏姜堰人，教授，博士，博导，从事水工结构研究（E—mail：ltchhu@163com
颜天佑（1983-），男，江苏盐城人，博士生，从事水工结构研究（E-mail：yty001_1999@163．com
