轴对称爆炸载荷作用下深埋圆形隧洞的准饱和土动力响应

doi:10.3969/j.issn.1007-2861.2014.02.005

上海大学学报(自然科学版) ›› 2015, Vol. 21 ›› Issue (5): 617-630.doi: 10.3969/j.issn.1007-2861.2014.02.005

轴对称爆炸载荷作用下深埋圆形隧洞的准饱和土动力响应

吴传侠, 张敏, 杨骁

上海大学土木工程系, 上海 200072

收稿日期:2014-03-19 出版日期:2015-10-30 发布日期:2015-10-30
通讯作者: 杨骁(1965—), 男, 教授, 博士生导师, 博士, 研究方向为结构加固与修复、土-桩-结构相互作用等. E-mail:xyang@shu.edu.cn
基金资助:
国家自然科学基金资助项目(10872124)

Dynamical response of nearly saturated soil with deeply buried circular tunnel under axisymmetrical blasting load

WU Chuan-xia, ZHANG Min, YANG Xiao

Department of Civil Engineering, Shanghai University, Shanghai 200072, China

Received:2014-03-19 Online:2015-10-30 Published:2015-10-30

摘要/Abstract

摘要： 考虑准饱和土与隧洞弹性衬砌的非完整连接, 基于Biot模型和弹性理论, 研究了深埋圆形隧洞的准饱和弹性土在轴对称爆炸载荷作用下的动力响应. 通过引入势函数和Laplace变换, 得到准饱和弹性土-弹性衬砌耦合系统在Laplace变换空间中动力响应的解析解; 借助Laplace逆变换的数值Crump法, 得到了耦合系统的时程响应; 分析了不同隧洞模型下准饱和土的动力响应. 结果表明: 准饱和土-壳体衬砌系统模型的土体响应最小, 而无隧洞衬砌准饱和土模型的土体响应最大; 饱和度对土体位移和应力影响较小, 但对孔隙水压力有较为显著的影响; 且随着接触面刚度的增大, 准饱和土体的径向位移和环向应力幅值均增大.

关键词: Laplace变换, 爆炸载荷, 动力响应, 隧洞衬砌, 准饱和土

Abstract: Considering the non-complete connection between nearly saturated soil and elastic lining of a tunnel, the dynamical responses of nearly saturated elastic soil with a deeply buried circle tunnel subject to an axisymmetrical blasting load are investigated based on the Biot model and elasticity. Analytical solutions of dynamical responses of nearly saturated soil and elastic lining coupled system in the Laplace transform space are derived with the potential function and Laplace transform. The time-history responses of the coupled system are obtained with a numerical Crump method of the inverse Laplace transform. The dynamical responses of nearly saturated soil with different tunnel lining models are analyzed. It is shown that the soil responses of nearly saturated soil and a shell lining system are minimal, while the soil responses of nearly saturated soil without lining are maximal. Influence of the degree of saturation on displacement and stress of the soil is weak, but has evident influence on pore water pressure. Furthermore, the magnitudes of radial displacement and circumferential stress increase as stiffness of the interface increases.

Key words: blasting load, dynamical response, Laplace transform, nearly saturated soil, tunnel lining

中图分类号:

O 327
TU 435

吴传侠, 张敏, 杨骁. 轴对称爆炸载荷作用下深埋圆形隧洞的准饱和土动力响应[J]. 上海大学学报(自然科学版), 2015, 21(5): 617-630.

WU Chuan-xia, ZHANG Min, YANG Xiao. Dynamical response of nearly saturated soil with deeply buried circular tunnel under axisymmetrical blasting load[J]. Journal of Shanghai University（Natural Science Edition）, 2015, 21(5): 617-630.

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轴对称爆炸载荷作用下深埋圆形隧洞的准饱和土动力响应

Dynamical response of nearly saturated soil with deeply buried circular tunnel under axisymmetrical blasting load

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