岩土本构中应变软化与Weibull分布的思考
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摘要
从本构曲线的塑性功的角度研究了应变硬化和应变软化的定义问题,引入了材料力学的微结构"自恰"原则,分析了应变软化-损伤之间的关系,同时针对岩土工程界关于应变软化介质多用负指数分布或Weibull分布描述应变本构关系,分析了Weibull分布下的应变软化介质的本构方程的参数求解模式,并对其参数特性和本构曲线的适应性进行了分析。
The definition of strain-softening and strain-hardening is studied from the plastic work of constitutive curve.The relation between strain-softening and damage is analyzed by introducing the micro-structural "self-consistent" rule in mechanics of materials.In geotechnical engineering,the constitutive model for strain-softening medium is mostly described by negative exponent distribution or Weibull distribution.In view of this,the model for solving the parameters of constitutive formula for strain-softening media under Weibull distribution is analyzed and its parameter characteristics and the adaptability of the constitutive curve are also discussed.
The definition of strain-softening and strain-hardening is studied from the plastic work of constitutive curve.The relation between strain-softening and damage is analyzed by introducing the micro-structural "self-consistent" rule in mechanics of materials.In geotechnical engineering,the constitutive model for strain-softening medium is mostly described by negative exponent distribution or Weibull distribution.In view of this,the model for solving the parameters of constitutive formula for strain-softening media under Weibull distribution is analyzed and its parameter characteristics and the adaptability of the constitutive curve are also discussed.
引文
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[2]秦四清.斜坡失稳过程的非线性演化机制与物理预报[J].岩土工程学报.2005,27(11):1241-1248
[3]秦四清.滑坡失稳的突变模型与混沌机制[J].岩石力学与工程学报,2000,19(4):486-492.
[4]龙辉,秦四清,朱世平,等.滑坡演化的非线性动力学与突变分析[J].工程地质学报,2001,9(3):332-335.
[5]殷有泉杜静.地震过程的燕尾型突变模型[J].地震学报,1994,16(4):416-422.
[6]赵冰,李宁,盛国刚.软化岩土介质的应变局部化研究进展[J].岩土力学,2005,3(26):494-499.
[7]Gye Chun Cho.Unsaturated soil stiffness and post-liquefactionshear strength[D].Thesis:Georgia Institute of Technology,2001.
[8]王成华,李广信.土体应力-应变关系转型问题分析[J].岩土力学,2004,8(25):1185-1190.
[9]沈珠江.土体结构性的数学模型——21世纪土力学的核心问题[J].岩土工程学报,1996,18(1):95-97.
[10]谢和平,刘夕才,王金安.关于21世纪岩石力学发展战略的思考[J].岩土工程学报,1996,18(4):98-102.
[11]沈珠江.理论土力学[M].北京:中国水利水电出版社,2000.
[12]李宁,张鹏.岩质边坡稳定分析与设计的几个基本问题[C]//中国岩石力学与工程学会第七次学术大会论文集.北京:中国科学技术出版社,2002:395-398.
[13]沈新普,徐秉业,岑章志,等.计算岩体力学[M].北京:中国科学技术出版社,2002..
[14]钟闻华.深长桩荷载传递特性与相互作用理论及应用研究[D].南京:东南大学,2005.
[15]Gye Chun Cho.Unsaturated soil stiffness and post-liquefactionshear strength[D].Thesis:Georgia Institute of Technology,2001.
[16]李国琛,耶纳M.塑性结构大应变微结构力学[M].北京:科学出版社,2003.
[17]王仁.塑性力学引论[M].修订版.北京:北京大学出版社,2003.
[18]徐秉业,刘信声.应用弹塑性力学[M].北京:清华大学出版社,2008.
[19]王春玲.塑性力学[M].北京:中国建材工业出版社,2005.
[20]杨桂通,树学锋.塑性力学[M].北京:中国建材工业出版社,2000.
[21]孙强,秦四清,杨继红,等.应变软化介质本构方程的参数求解[J].工程地质学报,2007,15(SⅡ):184-187.
[22]蒋仁言.威布尔模型族——特性、参数估计和应用[M].北京:科学出版社,1998.
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