英语翻译The elastic hollow cylinder solution (Fig.7),which gives the state of stress and displacement in the cylinder from the knowledge of the radial stresses at the inner and outer boundaries,is used to interpret the results of the annulus expe

英语翻译The elastic hollow cylinder solution (Fig.7),which gives the state of stress and displacement in the cylinder from the knowledge of the radial stresses at the inner and outer boundaries,is used to interpret the results of the annulus expe
英语翻译
The elastic hollow cylinder solution (Fig.7),which gives the
state of stress and displacement in the cylinder from the
knowledge of the radial stresses at the inner and outer
boundaries,is used to interpret the results of the annulus
experiment.As shown in Fig.7,r1 and r2 are respectively the
inner and outer radius of the hollow cylinder,and P1 and P2
are respectively the value of the radial stress at r1 and r2 .This
solution can be applied to both steel cylinders.The solution
cannot be applied to the cement during the hydration process,
when the cement behaves more like a compacting soil,with
changing properties over time,than an elastic material.The
inner cylinder and outer cylinder have respectively a zero
imposed radial stress condition on the inner surface and a zero
imposed radial stress condition on the outer surface.
Continuity of radial stress and radial displacement between the
cylinders and the cement applied unless a microannulus is
created.
The two dimensional plane strain solution is used to
estimate the state of stress and displacement in each ring of
material.The radial stress as a function of radius in a hollow
cylinder is:
and the radial displacement is:
This set of equations can first be used to estimate what rock
elastic properties the outer cylinder simulates.To carry out
this estimation,one has to compare the displacement of the
cylinder at its inner boundary with that of a semi-infinite rock,
under a pressure P1.For the steel one has:
32
1- 2n(- Pr ) 1 (- P )rr
11 121
u=+ …………..…….4
s 22 2
2G (r - r ) 2G (r - r 2 )
21 21
For the rock,with r2 being infinite:
1
u =-Pr ……………………………………..….5
r 11
2Gr
Equating these two solutions gives:
22
G(r - r )
G= 2 1 ……………………………………6
r 22
(1- 2n)r1 + r2

英语翻译The elastic hollow cylinder solution (Fig.7),which gives the state of stress and displacement in the cylinder from the knowledge of the radial stresses at the inner and outer boundaries,is used to interpret the results of the annulus expe
弹性空心圆柱解决方案（图7 ） ,其中给出了
应力状态和位移,在缸,从
知识的径向讲,在内部和外部
国界的,是用来解释的结果,环
实验.所示的图.7 ,R1和R2分别是
内,外半径的空心圆柱,P1和P2
分别是价值的径向应力在R1和R2 .这
解决方案可以应用到这两个钢瓶.该解决方案
不能适用于水泥在水化过程中,
当水泥的表现更像是压实土壤,同
不断变化的性质随着时间的推移,比弹性材料.该
内缸与外缸已分别为零
施加径向应力条件对的内表面和零
施加径向应力条件的外表面.
连续性的径向应力和径向位移之间
气罐及水泥适用,除非是microannulus
创造.
两维平面应变的解决办法是用
估计该国的应力和位移,在每一个环
材料.径向应力作为一个函数的半径,在一个空心
缸是：
和径向位移是：
这组方程可以先用来估计什么摇滚
弹性性能外缸模拟.进行
这个估计,有比较位移的
气缸在其边界内,与一个半无限岩石,
下压的影响P1 .为钢人：
32
1 -为2 n （ -公关）1 （ -规划）为
一一一二一
在美国+ … … … … ..… … .4
s 2月22日
第二代（ -研发） ,第二代（ R -可的R 2 ）
21 21
为岩石,与R2的正无穷：
一
u =-公关… … … … … … … … … … … … … … ..… .5
注册性11
2gr
等同于这两种解决方案给：
22
G （上R -可）
克= 2 1 … … … … … … … … … … … … … … 6条
r 22
（ 1 -2 n）的R 1的+ R 2的
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