Transmission of Normal P-Waves across a Single Joint Based on g‐λ Model
This paper investigates the wave transmission and reflection of an elastic P-wave at a single joint for normal incidence. First, considering a coupled joint (correction parameter λ, 0<λ<1), a normal deformation constitutive model of the joint (g‐λ model) under static or quasi-static loading is...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/8240586 |
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| _version_ | 1832551466768793600 |
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| author | Zhanfeng Fan Jichun Zhang Hua Xu Jianhua Cai |
| author_facet | Zhanfeng Fan Jichun Zhang Hua Xu Jianhua Cai |
| author_sort | Zhanfeng Fan |
| collection | DOAJ |
| description | This paper investigates the wave transmission and reflection of an elastic P-wave at a single joint for normal incidence. First, considering a coupled joint (correction parameter λ, 0<λ<1), a normal deformation constitutive model of the joint (g‐λ model) under static or quasi-static loading is introduced and then extended to dynamic loading. The nonlinearity of the joint stress-deformation curve increases with increasing λ. Second, the interaction between the P-wave and the joint is investigated by using the method of characteristics and the displacement discontinuity method to deduce the differential expression of the transmitted wave’s particle velocity. The approximate analytical expressions of the transmission and reflection coefficients are obtained according to the Lemaitre equivalent strain assumption. Third, parametric studies are conducted to evaluate the effects of λ on transmission characteristics for a normally incident P-wave at a single joint. The results show that the particle velocity of the transmitted wave depends on λ. When λ takes the limit values 0 and 1, the transmitted wave’s particle velocities are then consistent with the conclusions of the classical exponential model and the Barton–Bandis model. In addition, the transmission and reflection coefficients are discussed with respect to λ and also to the ratio of the joint closure to the maximum allowable joint closure. |
| format | Article |
| id | doaj-art-65bb1b40179f479cbcc664babe27b489 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-65bb1b40179f479cbcc664babe27b4892025-02-03T06:01:27ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/82405868240586Transmission of Normal P-Waves across a Single Joint Based on g‐λ ModelZhanfeng Fan0Jichun Zhang1Hua Xu2Jianhua Cai3School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaChina Railway Southwest Research Institute Co. LTD, Chengdu 611731, ChinaThis paper investigates the wave transmission and reflection of an elastic P-wave at a single joint for normal incidence. First, considering a coupled joint (correction parameter λ, 0<λ<1), a normal deformation constitutive model of the joint (g‐λ model) under static or quasi-static loading is introduced and then extended to dynamic loading. The nonlinearity of the joint stress-deformation curve increases with increasing λ. Second, the interaction between the P-wave and the joint is investigated by using the method of characteristics and the displacement discontinuity method to deduce the differential expression of the transmitted wave’s particle velocity. The approximate analytical expressions of the transmission and reflection coefficients are obtained according to the Lemaitre equivalent strain assumption. Third, parametric studies are conducted to evaluate the effects of λ on transmission characteristics for a normally incident P-wave at a single joint. The results show that the particle velocity of the transmitted wave depends on λ. When λ takes the limit values 0 and 1, the transmitted wave’s particle velocities are then consistent with the conclusions of the classical exponential model and the Barton–Bandis model. In addition, the transmission and reflection coefficients are discussed with respect to λ and also to the ratio of the joint closure to the maximum allowable joint closure.http://dx.doi.org/10.1155/2019/8240586 |
| spellingShingle | Zhanfeng Fan Jichun Zhang Hua Xu Jianhua Cai Transmission of Normal P-Waves across a Single Joint Based on g‐λ Model Shock and Vibration |
| title | Transmission of Normal P-Waves across a Single Joint Based on g‐λ Model |
| title_full | Transmission of Normal P-Waves across a Single Joint Based on g‐λ Model |
| title_fullStr | Transmission of Normal P-Waves across a Single Joint Based on g‐λ Model |
| title_full_unstemmed | Transmission of Normal P-Waves across a Single Joint Based on g‐λ Model |
| title_short | Transmission of Normal P-Waves across a Single Joint Based on g‐λ Model |
| title_sort | transmission of normal p waves across a single joint based on g λ model |
| url | http://dx.doi.org/10.1155/2019/8240586 |
| work_keys_str_mv | AT zhanfengfan transmissionofnormalpwavesacrossasinglejointbasedonglmodel AT jichunzhang transmissionofnormalpwavesacrossasinglejointbasedonglmodel AT huaxu transmissionofnormalpwavesacrossasinglejointbasedonglmodel AT jianhuacai transmissionofnormalpwavesacrossasinglejointbasedonglmodel |