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CLC number: TU435

On-line Access: 2017-10-06

Received: 2016-07-06

Revision Accepted: 2017-03-05

Crosschecked: 2017-09-11

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714


Dao-sheng Ling


Bo Huang


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Journal of Zhejiang University SCIENCE A 2017 Vol.18 No.10 P.776-792


Analysis of the dynamic stress path under obliquely incident P-waves and its influencing factors

Author(s):  Bo Huang, Qi-qun Li, Dao-sheng Ling, Jing-wen Liu, Yu Wang

Affiliation(s):  Institute of Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China; more

Corresponding email(s):   dsling@zju.edu.cn

Key Words:  Near-field earthquakes, P-waves, Oblique incidence, Semi-infinite elastic space, Dynamic stress path

Bo Huang, Qi-qun Li, Dao-sheng Ling, Jing-wen Liu, Yu Wang. Analysis of the dynamic stress path under obliquely incident P-waves and its influencing factors[J]. Journal of Zhejiang University Science A, 2017, 18(10): 776-792.

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publisher="Zhejiang University Press & Springer",

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%T Analysis of the dynamic stress path under obliquely incident P-waves and its influencing factors
%A Bo Huang
%A Qi-qun Li
%A Dao-sheng Ling
%A Jing-wen Liu
%A Yu Wang
%J Journal of Zhejiang University SCIENCE A
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1600497

T1 - Analysis of the dynamic stress path under obliquely incident P-waves and its influencing factors
A1 - Bo Huang
A1 - Qi-qun Li
A1 - Dao-sheng Ling
A1 - Jing-wen Liu
A1 - Yu Wang
J0 - Journal of Zhejiang University Science A
VL - 18
IS - 10
SP - 776
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%@ 1673-565X
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1600497

The dynamic stress path of a rock and soil mass under seismic action has a crucial influence on its catastrophic behavior. In soil dynamics, earthquakes are commonly simplified as vertically incident shear waves and the seismic stresses in soil are estimated based on rigid foundation models. However, the great effect of p-waves should not be overlooked in strong earthquakes, which have happened frequently in recent years. The characteristics of the dynamic stress path under longitudinal waves with significant oblique incidence are still unclear. Analytical formulas for the seismic stresses at any depth of a semi-infinite elastic space under obliquely incident p-waves are derived, which degenerate into the traditional rigid foundation method in soil dynamics when both the incident angle and Poisson’s ratio are taken as zero. Here, we reveal the fundamental characteristics of a dynamic stress path under obliquely incident p-waves. The stress path is proved mathematically to be an oblique ellipse in the plane of normal stress difference and horizontal shear stress. We identify factors affecting the stress path, including the incident angle, Poisson’s ratio, and depth corresponding to unit wavelength. The possible variation in the range of an oblique elliptic stress path is systematically analyzed, which lays a theoretical foundation for further study of the dynamic response of sites under obliquely incident seismic waves.


创新点:1. 从数学上证明斜入射P波在任一深度的地基中形成的应力路径在剪应力分量(偏差正应力-水平剪应力)组成的平面中为一个斜椭圆; 2. 分析了P波入射角、土体泊松比和单位波长深度对斜椭圆应力路径形状与大小的影响。
方法:1. 基于半无限弹性空间的地震波传播理论,考虑地震波在自由界面的反射,推导土体中任一深度处由P波斜入射产生的动应力,并表示成由剪应力分量组成的平面下的应力路径(公式(9))及该应力路径的特征参数表达式(公式(A12) ~(A14));2. 通过控制变量法,分析参数敏感性(图7、9、10和12)。
结论:1. 虽然证实P波斜入射引起的应力路径为斜椭圆形式,但在地基深度、入射波频率和波速的特定组合下,斜椭圆仍可从斜线一直变化到圆形,形式较为多样化;2. P波斜入射角度在30(~60( 时引起的动偏应力幅最大,最大可达同等条件下其它入射角产生的动应力幅的2倍以上;3. 斜入射角大于45(后,斜椭圆路径形状几乎不随入射角改变,在研究范围内以竖直扁椭圆形为主;4. 土体饱和度大于70%时,泊松比的变化对土体斜椭圆路径形状影响不大,但动应力幅随泊松比增大而显著降低。


Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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