无限弹性土体中洞室在反平面冲击荷载作用下的瞬态响应

翟朝娇; 夏唐代; 陈炜昀; 杜国庆

doi:10.11883/1001-1455(2014)02-0209-07

无限弹性土体中洞室在反平面冲击荷载作用下的瞬态响应

doi: 10.11883/1001-1455(2014)02-0209-07

翟朝娇^{1, 2, ,},
夏唐代^{1, 2},
陈炜昀³,
杜国庆⁴

1.
浙江大学软弱土与环境土工教育部重点实验室，浙江杭州310058
2.
浙江大学岩土工程研究所，浙江杭州310058
3.
南京工业大学岩土工程研究所，江苏南京210000
4.
安徽省电力设计院，安徽合肥230601

详细信息

作者简介:
翟朝娇(1987-), 女, 博士研究生

中图分类号: O347
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- 被引次数: 0
出版历程
- 收稿日期: 2012-09-17
- 修回日期: 2013-03-04
- 刊出日期: 2014-03-25

Transient response of cavity in infinite elastic soil to anti -plane impact

1.
MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, Zhejiang, China
2.
Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310058, Zhejiang, China
3.
Institute of Geotechnical Engineering, Nanjing University of Technology, Nanjing210000, Jiangsu, China
4.
Anhui Electric Power Design Institute, Hefei 230601, Anhui, China

More Information

Corresponding author: Zhai Chao-jiao, xinqingkawayi@126.com

摘要

摘要: 为了探讨无限弹性土体内圆柱形洞室在突加反平面冲击荷载作用下的瞬态响应，利用Laplace变换及围道积分逆变换，得到土体位移和应力的一般解析表达式，并给出了数值解。在时域内分析了无限弹性土体内圆柱形孔洞在轴向荷载作用下的动力响应，并将计算结果与采用拉普拉斯数值反变换得到的结果以及静力情况下的结果作了比较。研究结果显示：波到达后，该点土体的应力和位移均瞬间增大，随后慢慢减小，并逐渐趋于静力值；波向外发散传播，并沿半径方向衰减，衰减速度比静力情况的应力衰减慢。
- 固体力学 /
- 动力响应 /
- Laplace变换 /
- 圆柱形孔洞 /
- 反平面 /
- 冲击荷载
Abstract: To explore the transient response of a cylindrical cavity in an infinite elastic soil body to sudden anti -plane impact, the general analytical expressions were given for the displacement and stress of the soil, respectively, by using the Laplace transform.And the corresponding numerical solutions were presented.In the time domain, the dynamic responses of the infinite elastic soil to the impact load along the axial of the cavity were analyzed, and the computed results were compared with those from the numerical inversion proposed by Durbin and the static results.And there are some understandings of shear wave propagation as follows: the stress and displacement of the soil can increase instantaneously when the shear wave arrives here, then decrease gradually and tend to the static values; the shear wave spreads outward and attenuates along the radial directions, the attenuation rate is lower than that under static conditions.
- solid mechanics /
- dynamic responses /
- Laplace transform /
- cylindrical cavity /
- anti -plane /
- impact load

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图 1 计算模型

Figure 1. Computation model

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图 2 计算模型

Figure 2. Computation model

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图 3 应力时程曲线

Figure 3. Stress -time curves

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图 4 位移时程曲线

Figure 4. Displacement -time curves

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图 5 应力随传播距离的衰减曲线

Figure 5. Stress attenuation against propagation distance

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图 6 位移随传播距离的衰减曲线

Figure 6. Displacement attenuation against propagation distance

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图 7 应力时程曲线比较

Figure 7. Comparison of stress -time curves

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图 8 位移时程曲线比较

Figure 8. Comparison of displacement -time curves

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