Lamb's problem and characteristic of energy transmission in unsaturated half-space

doi:10.6052/0459-1879-21-195

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	Lamb's problem and characteristic of energy transmission in unsaturated half-space
	Zhou, Fengxi 1,2; Zhang, Yasen 1; Cao, Xiaolin 3; Mu, Zhanlin 1
刊名	Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics
	2021-07-18
卷号	53 期号:7 页码:2079-2089
关键词	Boundary conditions Constitutive equations Continuum mechanics Dynamics Frequency domain analysis Musculoskeletal system Porous materials Surface measurement Transmissions Different boundary condition Displacement components Excitation frequency Helmholtz decomposition Mass conservation equations Momentum conservation equations Pore-water pressures Unsaturated porous media
ISSN号	04591879
DOI	10.6052/0459-1879-21-195
英文摘要	Because unsaturated soil is widely distributed on the earth's surface, when the traditional saturated two-phase medium theory is used for dynamic analysis, the results are often inconsistent with the actual situation. Aiming at this problem, this paper takes unsaturated elastic half-space as the research object, firstly based on continuum mechanics and porous media theory, and then considers the basic equations of mass conservation equation, momentum conservation equation, constitutive equation and effective stress principle of each phase in unsaturated porous media, and finally, we established a dynamic control equation in which skeleton displacement, pore water pressure and pore gas pressure are basically unknown quantities. Aiming at the dynamic response and energy transmission of the unsaturated half-space surface under the action of vertical concentrated harmonic loads, an axisymmetric calculation model of the classical Lamb problem in the frequency domain is established. The Helmholtz decomposition method is used and the displacement component of the skeleton uses the potential function Φ and Ψ to represent, and combined with the constitutive equation, the analytical solutions of physical quantities such as the displacement field and energy field of the half-space surface under different boundary conditions are obtained. Finally, influencing factors such as load parameters (excitation frequency) and material parameters (saturation, permeability coefficient) are analyzed and discussed through numerical examples. The results show that: (1) An increase in saturation or a decrease in excitation frequency will increase the surface displacement amplitude of the unsaturated half-space; (2) When the permeability coefficient drops to a critical value, the surface displacement amplitude will tend to a limit value, and the influence of permeability coefficient under permeable (gas) boundary and impermeable (gas) boundary conditions shows obvious difference. © 2021, Chinese Journal of Theoretical and Applied Mechanics Press. All right reserved.
语种	中文
出版者	Chinese Society of Theoretical and Applied Mechanics
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/151083]
专题	土木工程学院
作者单位	1.School of Civil Engineering, Lanzhou University of Technology, Lanzhou; 730050, China; 2.Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou; 730050, China; 3.School of Civil Engineering, Southeast University, Nanjing; 211189, China
推荐引用方式 GB/T 7714	Zhou, Fengxi,Zhang, Yasen,Cao, Xiaolin,et al. Lamb's problem and characteristic of energy transmission in unsaturated half-space[J]. Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics,2021,53(7):2079-2089.
APA	Zhou, Fengxi,Zhang, Yasen,Cao, Xiaolin,&Mu, Zhanlin.(2021).Lamb's problem and characteristic of energy transmission in unsaturated half-space.Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics,53(7),2079-2089.
MLA	Zhou, Fengxi,et al."Lamb's problem and characteristic of energy transmission in unsaturated half-space".Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics 53.7(2021):2079-2089.