基于ABAQUS平台的塑性损伤子程序开发及其稳定性研究  

DEVELOPMENT OF PLASTICITY-DAMAGE MODEL BASED ON ABAQUS AND ALGORITHM STABILITY ANALYSIS

作　　者：曹鹏[1] 冯德成[1] 沈新普[2] 荆儒鑫[1] 

机构地区：[1]哈尔滨工业大学交通学院,哈尔滨150090 [2]沈阳工业大学建筑工程学院,沈阳110090

出　　处：《工程力学》2012年第A02期101-106,共6页Engineering Mechanics

基　　金：交通部西部交通建设科技项目(19672016);高等学校博士学科点专项科研基金项目(20092302110053)

摘　　要：该文基于能量等效假设提出了一种塑性损伤模型,并通过ABAQUS软件有限元平台进行二次开发,将这种塑性损伤模型嵌套在ABAQUS中对混凝土类材料的损伤行为进行数值模拟。由于材料的损伤行为容易导致有限元计算的不收敛,为解决这一难题,该文基于有限元求解过程列出了模型的理论推导过程,并给出一致性切线刚度矩阵,使计算中可以随时更新雅可比矩阵,保证计算的收敛性与收敛速度。该文对于单轴拉伸、单轴压缩情况的有限元模型进行了计算,并将利用用户子程序计算得到的结果与ABAQUS自带的损伤模型计算得到的结果进行比较。结果表明:该文提出的本构模型在模拟混凝土材料与结构在拉伸和压缩状态下的塑性损伤行为方面更有优势。Based on the hypotheses of energy equivalence, a new damage model coupled with plasticity has been proposed to simulate the response of concrete material, and been integrated in ABAQUS using the User subroutine to define a material＇s mechanical behavior （Umat）. The simulation of material damage behavior would usually induce the divergent numerical result. To solve this problem, the consistent tangent stiffness of a proceeding model has been deduced to update the Jacobi matrix during the iteration. Meanwhile the Finite Element theory of the new model and its process have been introduced in this paper, the stability of numerical tests were also studied. The comparison between Umat and conventional damage method in ABAQUS has been employed in a uniaxial compression and tension numerical test. The results indicate that the Umat developed in this paper was more effective in simulating the plastic damage behavior of concrete material during the tension and compression behavior.

关 键 词：塑性 损伤 一致性切线矩阵 稳定性 数值模拟 

分 类 号：TB115[理学—数学]