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(完整版)土的本构模型综述

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来源:https://www.bjmy2z.cn/gaokao
2021-02-11 20:20
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2021年2月11日发(作者:见贤思齐焉的焉)


Learn General Se


cretary on


o to learn a


ngthe


ning


ousnesses


nt spe


ech ca


used a


strong rea


ction in the


countr


y.


ime, watching


origin


of buil


ding t


he party ba


ck to


powe


r, how to stre


ngthe


n servi


ces for the masses, impr


ove party cohe


sion, fighting to become t


he grass


-roots party members a


nd masses


hot topic. Gra


ss-roots


party organi


zations


ngthen t


he servi


ce of party members and ca


dres, the


pioneer spirit. Di


stribution


of


grass-r


oots party organizati


ons in all walk


s of pe


ople,


clot


hing,


shelte


r, whi


ch


belongs to t


he ner


ve endi


ngs of the


party organizati


on a


nd


comments re


putati


on has a dire


ct per


cepti


on of the masses.


Strengthen the party a


head


of the


l


ngthe


n the party members and ca


dres


ss does


not have t


o be me


d


spirit to set the party's positive image among the


people is im


portant.


Grass


-root


s party organi


zations


people not ha


ppy not to se


e


s


honest faithful,


diligent faith for the pe


ople. No


nee


d to avoi


d mentioning t


hat, some members of our party ca


n not stand the


on


of temptation, t


hin,


Xu Zhou, such a


buse and corrupt


bribery, malfeasa


nce


borers, and rats. Two, is to


clean


up, t


hin,


Xu, Z


hou's soluti


on to rest


ore the


party's fresh a


nd natural, solid a


nd


honest work styl


e.


Cleansing


card,


sirable a


nd


behavi


our,


d and cold,


push


-roots party orga


nizations


strengthe


n the


sense of or


dinary party members, parti


cipati


ng in consci


ousness, unity consciousness. For reasons k


now


n, members


of grass-r


oots


party branche


s less m


obil


e, less re


sources,


and t


he constructi


on


of party organizati


ons have some lag. Two


studies, is t


o focus on the grass-roots party


branches


oose, soft, loose


probl


em, advance the party members and ca


dres,


orking


Strong cleanup acti


ons, styl


and rambli


ng, pre


sumpt


uous


d


s special attenti


on to


party members a


nd ca


dres


ning


party of thought


ng


ned i


n the l


ong


-term development of our party's


histori


cal experi


ence accumul


ated. Two i


s our party under the new


histori


cal conditions, stre


ngthe


n the


party's constr


uction of a ne


w


oots party


organizati


ons


shoul


d always cat


ch the


hard w


ork, results-oriente


d.


Two educational outcome


s are long


-term orie


nted and become a


n important impetus for the w


ork.


d have thre


e kinds


of consci


ousne


ss


sic lear


ning lie


s in the doi


ng. Only the


Constituti


on address t


he serie


s of party rule


s, and do soli


d work,


be qualified


party members ha


d a solid ideol


ogical


basis. Only the


ng


y, to form a


earn-do-do


ctive of education. T


his requires that t


he Organization


土的本构模型综述



1


土本构模型的研究内容



土体是天然地质材料的历史产物。


土是一种复杂的多孔材料,

< p>


受到外部荷载作用后,其变形具有非线性、流变性、各向异性、剪胀


性等特点。


为了更好地描述土体的真实力学—变形特性,

< p>
建立其应力


应变和时间的关系,


在各种试验和工程 实践经验的基础上提出一种数


学模型,即为土体的本构关系。



Roscoe



1958~1963< /p>


年创建剑桥


模型以来,


各国学者相继提出 了数百个土的本构模型,


包括不考虑时


间因素的线弹性模型、< /p>


非线弹性模型、


弹塑性模型和考虑时间因素的

流变模型等。


本文将结合土本构模型的研究进程,


综合分析 已建立的


经典本构模型,


指出各种模型的优缺点和适用性,


并对土本构模型的


未来研究趋势进行展望




2


土的本构模型的研究进程



早期的土力 学中的变形计算主要是基于线弹性理论的。


在线弹性


模型中,< /p>


只需两个材料常数即可描述其应力应变关系,


< br>E



v



K



G



?



?


。其中邓肯张双曲线模型是研究最 多、应用最广的非线弹


性模型。


20


世 纪


50


年代末


~60

< br>年代初,土塑性力学的发展为土的本


构模型的研究开辟了一条新的途径。


Drucker


等(


1957

< br>年)提出在


Mohr-Coulomb


锥形屈服面上再加 一组帽形屈服面,


Roscoe


等(


1 958



~1963


年)建立了第一个 土的本构模型


——


剑桥模型,标志着土的


learning e


ducation, ne


ed thre


e kinds of consci


ousness: one i


s to esta


blish


an integrate


d awarene


ss.


Learni


ng


car isTw


o-w


heel,


bird w


ings,


nee


d to go


hand in


hand,


one e


nd


can


be neglecte


d. Communi


st the


oreticia


n and man.


Only


by cl


osely


com


bi


ning t


heory a


nd


practi


ce together in order to truly reali


ze their val


ue.


ng


oundation is


not str


ong,


shaki


ng;


net to


net thousa


nds of accounts.



s, goi


ng to


he


ng


back to


standard, so that t


he majori


ty of party members


ning theory of


nutrie


nts, in t


he


ce party's purposes. S


econd, to esta


blish a se


nse


of dept


h.


ning


drawn,


entirely


different, but t


he orga


nic


unity of the whole.


ning e


ducation, we


need t


o explor


e integrating



bit


ence


he


ng


simple room instr


ucti


on,


into a m


onotone for


doing.


Should ex


ploration


he ha


s


on a


nd pra


ctice


of carrier, makes general grass-roots member


s can i


n


he ha


s


s se


nse, i


n


he ha


s


party


of theory


brain int


o heart,


put for people servi


ce concept


outsi


de of Yu


sha


ped. T


hird, t


o adhere to l


ong


-term the aware


ness. Style construction on the r


oad forever,


catch the long-term.


o


nd e


ducation, by no means, assa


ult-style


wind-sport, but t


he recurrent e


ducati


on


within t


he part


y. In rece


nt years, t


he party's mass line e


ducatio


n practi


ce a


nd


-three


cial educati


on i


n grass-r


oots


bor


ne rich fruits, vast number


s of party members a


nd


cadres


withst


ood t


he baptism of the


spirit.


o


er hol


d long- term, to e


stablish and perfect the effective mechani


sm of the education, focusing


on t


he creati


on of l


ong


-term education, strive to make the vast


number of party members t


o


maintain their va


nguard


Col


or, maintai


n the


party's adva


nce


d nature a


nd


purit


y. Aware ne


ss


-raising


, antennas a


nd atmosphere


a di


scussi


on


on how lea


ding ca


dres


of party members


nt,


up a


nd


dow


n the country,


party cadre


s as a


h a barometer and impetus.


The


ng enoug


h dee


p, is to


determine t


he party ca


dres can resolve to study har


d first. In the


o


oce


ss, some ca


dres of himse


lf, standing l


ong,


high awar


eness, that Constitution Party rule


s is simpl


e, its not worth


bothering some party ca


dres thi


nk spea


k series ha


s not


hing to


do wit


h the grass


-roots work


, water busine


ss lear


ning seri


es of speeches seen a


s window


dressi


ng.


These


nd deca


dent


s learni


ng lacks m


otivation, a


serious impe


diment to


ill once sa


id,


only a ba


sic el


ement of human thoug


ht patterns


change


dramaticall


y, human de


stiny ca


n make great improvement. T


he same,


only party members and


Learn General Se


cretary on


o to learn a


ngthe


ning


ousnesses


nt spe


ech ca


used a


strong rea


ction in the


countr


y.


ime, watching


origin


of buil


ding t


he party ba


ck to


powe


r, how to stre


ngthe


n servi


ces for the masses, impr


ove party cohe


sion, fighting to become t


he grass


-roots party members a


nd masses


hot topic. Gra


ss


-roots


party organi


zations


ngthen t


he servi


ce of party members and ca


dres, the


pioneer spirit. Di


stribution


of grass-r


oots party organizati


ons in all walk


s of pe


ople,


clot


hing,


shelte


r, whi


ch


belongs to t


he ner


ve endi


ngs of the


party organizati


on a


nd


comments re


putati


on has a dire


ct per


cepti


on of the masses.


Strengthen the party a


head


of the


l


ngthe


n the party members and ca


dres


ss does


not have t


o be me


spirit to set the party's positive image among the


people is im


portant.


Grass


-root


s party organi


zations


people not ha


ppy not to se


e


s


honest faithful,


diligent faith for the pe


ople. No


nee


d to avoi


d mentioning t


hat, some members of our party ca


n not stand the


on


of temptation, t


hin,


Xu Zhou, such a


buse and corrupt


bribery, malfeasa


nce


borers, and rats. Two, is to


clean


up, t


hin,


Xu, Z


hou's soluti


on t


o rest


ore the


party's fresh a


nd natural, solid a


nd


honest work styl


e.


Cleansing


card,


sirable a


nd


behavi


our,


d and cold,


push


-roots party orga


nizations


strengthe


n the


sense of or


dinary party members, parti


cipati


ng in consci


ousness, unity c


onsciousness. For reasons k


now


n, members


of grass-r


oots


party branche


s less m


obil


e, less re


sources,


and t


he constructi


on


of party organizati


ons have some lag. Two


studies, is t


o focus on the grass-roots party


branches


oose, soft, loose


probl


em, advance the party members and ca


dres,


orking


Strong cleanup acti


ons, styl


and rambli


ng, pre


sumpt


uous


d


s special attenti


on to


party members a


nd ca


dres


ning


party of thought


ng


ned i


n the l


ong


-term development of our party's


histori


cal experi


ence accumul


ated. Two i


s our party under the new


histori


cal conditions, stre


ngthe


n the


party's constr


uction of a ne


w


oots party


organizati


ons


shoul


d always cat


ch the


hard w


ork, results-oriente


d.


Two educational outcome


s are long


-term orie


nted and become a


n important impetus for the w


ork.


d have thre


e kinds


of consci


ousne


ss


sic lear


ning lie


s in the doi


ng. Only the


Constituti


on address t


he serie


s of party rule


s, and do soli


d work,


be qualified


party members ha


d a solid ideol


ogical


basis. Only the


ng


y, to form a


earn-do-do


ctive of education. T


his requires that t


he Organization


本构模型研究新阶段的开始 。


70


年代到


80

年代,计算机技术的迅速


发展推动了非线性力学理论、


数值 计算方法和土工试验的发展,


为在


岩土工程中进行非线性、


非弹性数值分析提供了可能性,


各国学者提


出了上百种土的本构模型,


包括考虑多重屈服面的弹塑性本构模型和

考虑土的变形及内部应力调整的时间效应的粘弹塑性模型。


此外,

< br>其


他本构模型如土的结构性模型、


内时本构模型等也是从 不同角度描述


土本构关系,


有的学者则借用神经网络强大的自组 织、


自学习功能来


反演土的本构关系。



3


几种经典的土本构模型



3.1



Mohr- Coulomb(M-C)


理想弹塑性模型


< br>Coulomb


在土的摩擦试验、压剪试验和三轴试验的基础上,于


1773


年提出了库仑破坏准则,即剪应力屈服准则,它认为当土体某


平面上剪应力达到某一特定值时,


就进入屈服。


其准则方程形式一般


为:


?


n


?


f


(


c

< p>
,


?


,


?


n


)


。其中,


c


为土的粘聚力;


?


为土的内摩擦角;


?


n



屈服面上的正应力。这 个函数关系式通过试验确定。


M-C


条件为:

< br>?


n


?


c


?


?


n


?


t an


?





?


平面上的屈服曲线为一封闭的非正六边形。

< br>现在,


M-C


准则


仍被广泛应用 ,该准则在


?


平面上的拉、压轴相等时即为广义


Tresca


准则。


M-C


准 则比较符合试验,


但是它的缺点在于三维应力空间中的


屈服面存 在角点奇异性,且没有考虑中间主应力


?


2

的影响。



learning e


ducation, ne


ed thre


e kinds of consci


ousness: one i


s to esta


blish


an integrate


d awarene


ss.


Learni


ng


car isTw


o-w


heel,


bird w


ings,


nee


d to go


hand in


hand,


one e


nd


can


be neglecte


d. Communi


st the


oreticia


n and man.


Only


by cl


osely


com


bi


ning t


heory a


nd


practi


ce together in order to truly reali


ze their val


ue.


ng


oundation is


not str


ong,


shaki


ng;


net to


net thousa


nds of accounts.



s, goi


ng to


he


ng


back to


standard, so that t


he majori


ty of party members


ning theory of


nutrie


nts, in t


he


ce party's purposes. S


econd, to esta


blish a se


nse


of dept


h.


ning


drawn,


entirely


different, but t


he orga


nic


unity of the whole.


ning e


ducation, we


need t


o explor


e integrating



bit



ence


he


ng


simple room instr


ucti


on,


onotone for


doing.


Should ex


ploration


he ha


s


on a


nd pra


ctice


of carrier, makes general grass-roots member


s can i


n


he ha


s


s se


nse, i


n


he ha


s


party


of theory


brain int


o heart,


put for people servi


ce concept


outsi


de of Yu


sha


ped. T


hird, t


o adhere to l


ong


-term the aware


ness. Style construction on the r


oad forever,


catch the long-term.


o


nd e


ducation, by no means, assa


ult-style


wind-sport, but t


he recurrent e


ducati


on


within t


he part


y. In rece


nt years, t


he party's mass line e


ducation practi


ce a


nd


-three


cial educati


on i


n grass-r


oots


bor


ne rich fruits, vast number


s of party members a


nd


cadres


withst


ood t


he baptism of the


spirit.


o


er hol


d long- term, to e


stablish and perfect the effective mechani


sm of the education, focusing


on t


he creati


on of l


ong


-term education, strive to make the vast


number of party members t


o


maintain their va


nguard


Col


or, maintai


n the


party's adva


nce


d nature a


nd


purit


y. Awarene


ss-raising


, antennas a


nd atmosphere


a di


scussi


on


on how lea


ding ca


dres


of party members


nt,


up a


nd


dow


n the country,


party cadre


s as a


h a barometer and impetus.


The


ng enoug


h dee


p, is to


determine t


he party ca


dres can resolve to study har


d first. In the


o


oce


ss, some ca


dres of himse


lf, standing l


ong,


high awar


eness, that Constitution Party rule


s is simpl


e, its not worth


bothering some party


ca


dres thi


nk spea


k series ha


s not


hing to


do wit


h the grass


-roots work


, water busine


ss lear


ning seri


es of speeches seen a


s window


dressi


ng.


These


nd deca


dent


s learni


ng lacks m


otivation, a


serious impe


diment to


ill once sa


id,


only a ba


sic el


ement of human thoug


ht patterns change


dramaticall


y, human de


stiny ca


n make great improvement. T


he same,


only party members and


Learn General Se


cretary on


o to learn a


ngthe


ning


ousnesses


nt spe


ech ca


used a


strong rea


ction in the


countr


y.


ime, watching


origin


of buil


ding t


he party ba


ck to


powe


r, how to stre


ngthe


n servi


ces for the masses, impr


ove party cohe


sion, fighting to become t


he grass


-roots party members a


nd masses


hot topic. Gra


ss


-roots


party organi


zations


ngthen t


he servi


ce of party members and ca


dres, the


pioneer spirit. Di


stribution


of


grass-r


oots party organizati


ons in all walk


s of pe


ople,


clot


hing,


shelte


r, whi


ch


belongs to t


he ner


ve endi


ngs of the


party organizati


on a


nd


comments re


putati


on has a dire


ct per


cepti


on of the masses.


Strengthen the party a


head


of the


l


ngthe


n the party members and ca


dres


ss does


not have t


o be me


spirit to set the party's positive image am


ong the


people is im


portant.


Grass


-root


s party organi


zations


people not ha


ppy not to se


e


s


honest faithful,


diligent faith for the pe


ople. No


nee


d to avoi


d mentioning t


hat, some members of our party ca


n not stand the


on


of temptation, t


hin,


Xu Zhou, such a


buse and corrupt


bribery, malfeasa


nce


borers, and rats. Two, is to


clean


up, t


hin,


Xu, Z


hou's soluti


on to rest


ore the


party's fresh a


nd natural, solid a


nd


honest work styl


e.


Cleansing


card,


sirable a


nd


behavi


our,


d and cold,


push


-roots party orga


nizations


strengthe


n the


sense of or


dinary party members, parti


cipati


ng in consci


ousness, unity consciousness. For reasons k


now


n, members


of grass-r


oots


party branche


s less m


obil


e, less re


sources,


and t


he constructi


on


of party organizati


ons have some lag. Two


studies, is t


o focus on the grass-roots party


branches


oose, soft, loose


probl


em, advance the party members and ca


dres,


orking


Strong cleanup acti


ons, styl


and rambli


ng, pre


sumpt


uous


d


s special attenti


on to


party members a


nd ca


dres


ning


party of thought


ng


ned i


n the l


ong


-term development of our party's


histori


cal experi


ence accumul


ated. Two i


s our party under the new


histori


cal conditions, stre


ngthe


n the


party's constr


uction of a ne


w


oots party


organizati


ons


shoul


d always cat


ch the


hard w


ork, results-oriente


d.


Two educational outcome


s are long


-term orie


nted and become a


n important impetus for the w


ork.


d have thre


e kinds


of consci


ousne


ss


sic lear


ning lie


s in the doi


ng. Only the


Constituti


on address t


he serie


s of party rule


s, and do soli


d work,


be qualified


party members ha


d a solid ideol


ogical


basis. Only the


ng


y, to form a


earn-do-do


ctive of education. T


his requires that t


he Organization


3.2 Drucker- Prager(D-P)


模型



195 2



Drucker



Prager


首先把不考虑中间主应力


?


2


影响的


Coulomb


屈 服准则与不考虑净水压力


P


影响的


Mi ses


准则联系在一


起,提出广义


Mi ses


理想塑性模型,即


D-P


模型。


D-P


模型的屈服面


方程为:


F


?


J


2


?


?


I


1

< br>?


k


?


0



D-P


屈服函数所表示的屈服面在


?


平面


上是一个圆,更适合数值计算。但是作为近似计算,


D-P


模型仍被广


泛应用,它的主要缺点也 是没有考虑中间主应力


?


2


的影响。< /p>



3.3 Cam-clay



Cam


)模型



Cam


模型由英国剑桥大学


Roscoe


等人 于


1963


年提出,


其屈服面


方程为:



p


'


q


?


M


?

< p>
ln


0


?


0



p


'


p

< br>'


1965


年,


Roscoe< /p>



Burland


分别研究了

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Cam


模型屈服面与临界状


态线及正常固结线的关 系,根据能量方程对


Cam


模型屈服面的形状

< br>进行了修正,


提出了修正


Cam


模型。



p


'


?


q


平面上修正


Cam


模型的


屈服面是通过原点的椭圆形曲线。屈服面函数为:



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(


q


/


p


')


2


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M


2


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p


'


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p

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0



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2


M


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Cam


模型只有


3


个参数,


且易于测定,


因此是当前应用最广的模


型之一 。


模型的主要缺点是受到传统塑性理论的限制,


且没有充分考< /p>


learning e


ducation, ne


ed thre


e kinds of consci


ousness: one i


s to esta


blish


an integrate


d awarene


ss.


Learni


ng


car isTw


o-w


heel,


bird w


ings,


nee


d to go


hand in


hand,


one e


nd


can


be neglecte


d. Communi


st the


oreticia


n and man.


Only


by cl


osely


com


bi


ning t


heory a


nd


practi


ce together in order to truly reali


ze their val


ue.


ng


oundation is


not str


ong,


shaki


ng;


net to


net thousa


nds of accounts.



s, goi


ng to


he


ng


back to


standard, so that t


he majori


ty of party members


ning theory of


nutrie


nts,


in t


he


ce party's purposes. S


econd, to esta


blish a se


nse


of dept


h.


ning


drawn,


entirely


different, but t


he orga


nic


unity of the whole.


ning e


ducation, we


need t


o explor


e integrating



bit



ence


he


ng


simple room instr


ucti


on,


onotone for


doing.


Should ex


ploration


he ha


s


on a


nd pra


ctice


of carrier, makes general grass-roots member


s can i


n


he ha


s


s se


nse, i


n


he ha


s


party


of theory


brain int


o heart,


put for people servi


ce concept


outsi


de of Yu


sha


ped. T


hird, t


o adhere to l


ong


-term the aware


ness. Style construction on the r


oad forever,


catch the long-term.


o


nd e


ducation, by no means, assa


ult-style


wind-sport, but t


he recurrent e


ducati


on


within t


he part


y. In rece


nt years, t


he party's mass line e


ducation practi


ce a


nd


-three


cial educati


on i


n grass-r


oots


bor


ne rich fruits, vast number


s of party members a


nd


cadres


withst


ood t


he baptism of the


spirit.


o


er hol


d long- term, to e


stablish and perfect the effective mechani


sm of the education, focusing


on t


he creati


on of l


ong


-term education, strive to make the vast


number of party members t


o


maintain their va


nguard


Col


or, maintai


n the


party's adva


nce


d nature a


nd


purit


y. Awarene


ss-raising


, antennas a


nd atmosphere


a di


scussi


on


on how lea


ding ca


dres


of party members


nt,


up a


nd


dow


n the country,


party cadre


s as a


h a barometer and impetus.


The


ng enoug


h dee


p, is to


determine t


he party ca


dres can resolve to study har


d first. In the


o


oce


ss, some ca


dres of himse


lf, standing l


ong,


high awar


eness, that Constitution Party rule


s is simpl


e, its not worth


bothering


some party ca


dres thi


nk spea


k series ha


s not


hing to


do wit


h the grass


-roots work


, water busine


ss lear


ning seri


es of speeches seen a


s window


dressi


ng.


These


nd deca


dent


s learni


ng lacks m


otivation, a


serious impe


diment to


ill once sa


id,


only a ba


sic el


ement of human thoug


ht patterns change


dramaticall


y, human de


stiny ca


n make great improvement. T


he same,


only party members and

-


-


-


-


-


-


-


-



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