Dynamic response of a partially debonded pipeline embedded in a saturated poroelastic medium to harmonic plane waves |
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| Institution: | 1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China;2. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China;1. Central Research Institute of Building Constructions, Moscow, Russia;2. Moscow Power Engineering Institute National Research University, Moscow, Russia;3. Institute of Computer-Aided Design RAS, Moscow, Russia;1. Faculty of Engineering, Universidad Autónoma de Querétaro, Centro Universitario, Cerro de las Campanas, 76160, Querétaro, Qro., Mexico;2. Faculty of Civil Engineering, Universidad Michoacana de San Nicolás de Hidalgo, Centro Universitario, Avenida Francisco J. Mújica S/N, 58030, Morelia, Mich., Mexico;1. State Key Laboratory of Crystal Materials, Shandong University, Shandanan Road, Jinan 250100, China;2. Key Laboratory of Microelectronics Devices & Integrated Technology, Institute of Microelectronics of Chinese Academy of Sciences, Beijing 10029, China |
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| Abstract: | A practical model of partially debonded pipeline embedded in a saturated poroelastic medium is proposed, and the dynamic response of this model to harmonic plane waves is theoretical investigated. Biot׳s poroelastic theory is introduced to describe the dynamic equations of the saturated poroelastic medium, and the potentials obtained from Helmholtz decomposition theorem are expressed by wave function expansion method. The debonding areas around the pipeline are assumed to be filled with water. The disturbed solutions of basic field equations in these areas are expressed in terms of a scalar velocity potential. Different boundary conditions of bonded and debonded areas are adopted, and the expanded coefficients are obtained. An example of one partially debonded area is presented and analyzed. It is found that the stresses in the perfectly bonded and debonded areas show great difference, and the jump of dynamic stress at the connection points between these two areas is great in the case of low frequency. The effect of debonded areas on the dynamic stress under different thicknesses of lining is also examined. |
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| Keywords: | Partially debonded pipeline Saturated poroelastic medium Harmonic plane waves Dynamic response |
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