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纯摩擦型岩土介质本构积分算法及其在ABAQUS中开发应用
引用本文:詹云刚,袁凡凡,栾茂田.纯摩擦型岩土介质本构积分算法及其在ABAQUS中开发应用[J].岩土力学,2007,28(12):2619-2623.
作者姓名:詹云刚  袁凡凡  栾茂田
作者单位:1. 中国科学院武汉岩土力学研究所,岩土力学与工程国家重点实验室,武汉,430071
2. 大连理工大学土木水利学院岩土工程研究所,大连,116024;大连理工大学海岸和近海工程国家重点实验室,大连,116024
摘    要:提出了基于Euler向后积分的自适应子增量本构积分算法,推导了相应的一致切线模量矩阵;通过引入伪屈服函数(塑性势函数),提出了对屈服面角点应力区进行两个方向应力投射的本构积分算法,使超出屈服面的试应力收敛到角点;推导了两个投射方向的一致切线模量矩阵;采用赋小值方法解决0应力屈服的问题。用上述方法编制了基于D-P准则的理想弹塑性模型ABAQUS-UMAT子程序,并进行了算例验证。

关 键 词:本构积分  子增量  纯摩擦型岩土介质
文章编号:1000-7598-(2007)12-2619-06
收稿时间:2006-09-19
修稿时间:2006年9月19日

Integration algorithm of constitutive equation for cohesionless-frictional geomaterial and its application to ABAQUS
ZHAN Yun-gang,YUAN Fan-fan,LUAN Mao-tian.Integration algorithm of constitutive equation for cohesionless-frictional geomaterial and its application to ABAQUS[J].Rock and Soil Mechanics,2007,28(12):2619-2623.
Authors:ZHAN Yun-gang  YUAN Fan-fan  LUAN Mao-tian
Institution:1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China;2. Institute of Geotehnical Engineering, School of Civil and Hydraulic Engineering, Dalian University of Technology, Dalian 116024, China; 3. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
Abstract:Based on Euler backward integral method,an integration algorithm of constitutive equation is suggested for adaptive sub-stepping schemes.And the consistent tangent matrices are derived.According to the projection vector of trial stress beyond the yielding surface,the pseudo yielding function and plastic potential function is introduced for apex area of yielding surface.So,integration algorithms adopted of two projection vectors make trial stress in apex area to return to apex point of yielding surface.The consistent tangent matrices for two vectors are also derived.Zero stress point in the yielding surface is replaced by minimum value.An ABAQUS-UMAT subroutine using D-P criterion for linear elastic-perfectly plastic model is programmed;and two examples are analyzed to validate these methods.
Keywords:ABAQUS
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