Dynamic Green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method
This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane respo...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Liu, Zhongxian [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015transfer abstract |
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| Schlagwörter: |
Modified stiffness matrix method |
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| Umfang: |
16 |
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| Übergeordnetes Werk: |
Enthalten in: LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS - Cundrle, Ivan ELSEVIER, 2013, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:60 ; year:2015 ; pages:51-66 ; extent:16 |
| Links: |
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| DOI / URN: |
10.1016/j.enganabound.2015.03.011 |
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| Katalog-ID: |
ELV034692096 |
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| 245 | 1 | 0 | |a Dynamic Green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method |
| 264 | 1 | |c 2015transfer abstract | |
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| 520 | |a This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. | ||
| 520 | |a This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. | ||
| 650 | 7 | |a Modified stiffness matrix method |2 Elsevier | |
| 650 | 7 | |a Poroelastic layered half-space |2 Elsevier | |
| 650 | 7 | |a Dynamic concentrated load |2 Elsevier | |
| 650 | 7 | |a Green׳s function |2 Elsevier | |
| 700 | 1 | |a Liang, Jianwen |4 oth | |
| 700 | 1 | |a Wu, Chengqing |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier Science |a Cundrle, Ivan ELSEVIER |t LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS |d 2013 |g Amsterdam [u.a.] |w (DE-627)ELV011629568 |
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10.1016/j.enganabound.2015.03.011 doi GBVA2015016000014.pica (DE-627)ELV034692096 (ELSEVIER)S0955-7997(15)00083-1 DE-627 ger DE-627 rakwb eng 690 620 690 DE-600 620 DE-600 610 VZ 600 690 VZ 51.00 bkl 51.32 bkl Liu, Zhongxian verfasserin aut Dynamic Green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method 2015transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. Modified stiffness matrix method Elsevier Poroelastic layered half-space Elsevier Dynamic concentrated load Elsevier Green׳s function Elsevier Liang, Jianwen oth Wu, Chengqing oth Enthalten in Elsevier Science Cundrle, Ivan ELSEVIER LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS 2013 Amsterdam [u.a.] (DE-627)ELV011629568 volume:60 year:2015 pages:51-66 extent:16 https://doi.org/10.1016/j.enganabound.2015.03.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.00 Werkstoffkunde: Allgemeines VZ 51.32 Werkstoffmechanik VZ AR 60 2015 51-66 16 045F 690 |
| spelling |
10.1016/j.enganabound.2015.03.011 doi GBVA2015016000014.pica (DE-627)ELV034692096 (ELSEVIER)S0955-7997(15)00083-1 DE-627 ger DE-627 rakwb eng 690 620 690 DE-600 620 DE-600 610 VZ 600 690 VZ 51.00 bkl 51.32 bkl Liu, Zhongxian verfasserin aut Dynamic Green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method 2015transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. Modified stiffness matrix method Elsevier Poroelastic layered half-space Elsevier Dynamic concentrated load Elsevier Green׳s function Elsevier Liang, Jianwen oth Wu, Chengqing oth Enthalten in Elsevier Science Cundrle, Ivan ELSEVIER LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS 2013 Amsterdam [u.a.] (DE-627)ELV011629568 volume:60 year:2015 pages:51-66 extent:16 https://doi.org/10.1016/j.enganabound.2015.03.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.00 Werkstoffkunde: Allgemeines VZ 51.32 Werkstoffmechanik VZ AR 60 2015 51-66 16 045F 690 |
| allfields_unstemmed |
10.1016/j.enganabound.2015.03.011 doi GBVA2015016000014.pica (DE-627)ELV034692096 (ELSEVIER)S0955-7997(15)00083-1 DE-627 ger DE-627 rakwb eng 690 620 690 DE-600 620 DE-600 610 VZ 600 690 VZ 51.00 bkl 51.32 bkl Liu, Zhongxian verfasserin aut Dynamic Green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method 2015transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. Modified stiffness matrix method Elsevier Poroelastic layered half-space Elsevier Dynamic concentrated load Elsevier Green׳s function Elsevier Liang, Jianwen oth Wu, Chengqing oth Enthalten in Elsevier Science Cundrle, Ivan ELSEVIER LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS 2013 Amsterdam [u.a.] (DE-627)ELV011629568 volume:60 year:2015 pages:51-66 extent:16 https://doi.org/10.1016/j.enganabound.2015.03.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.00 Werkstoffkunde: Allgemeines VZ 51.32 Werkstoffmechanik VZ AR 60 2015 51-66 16 045F 690 |
| allfieldsGer |
10.1016/j.enganabound.2015.03.011 doi GBVA2015016000014.pica (DE-627)ELV034692096 (ELSEVIER)S0955-7997(15)00083-1 DE-627 ger DE-627 rakwb eng 690 620 690 DE-600 620 DE-600 610 VZ 600 690 VZ 51.00 bkl 51.32 bkl Liu, Zhongxian verfasserin aut Dynamic Green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method 2015transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. Modified stiffness matrix method Elsevier Poroelastic layered half-space Elsevier Dynamic concentrated load Elsevier Green׳s function Elsevier Liang, Jianwen oth Wu, Chengqing oth Enthalten in Elsevier Science Cundrle, Ivan ELSEVIER LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS 2013 Amsterdam [u.a.] (DE-627)ELV011629568 volume:60 year:2015 pages:51-66 extent:16 https://doi.org/10.1016/j.enganabound.2015.03.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.00 Werkstoffkunde: Allgemeines VZ 51.32 Werkstoffmechanik VZ AR 60 2015 51-66 16 045F 690 |
| allfieldsSound |
10.1016/j.enganabound.2015.03.011 doi GBVA2015016000014.pica (DE-627)ELV034692096 (ELSEVIER)S0955-7997(15)00083-1 DE-627 ger DE-627 rakwb eng 690 620 690 DE-600 620 DE-600 610 VZ 600 690 VZ 51.00 bkl 51.32 bkl Liu, Zhongxian verfasserin aut Dynamic Green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method 2015transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. Modified stiffness matrix method Elsevier Poroelastic layered half-space Elsevier Dynamic concentrated load Elsevier Green׳s function Elsevier Liang, Jianwen oth Wu, Chengqing oth Enthalten in Elsevier Science Cundrle, Ivan ELSEVIER LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS 2013 Amsterdam [u.a.] (DE-627)ELV011629568 volume:60 year:2015 pages:51-66 extent:16 https://doi.org/10.1016/j.enganabound.2015.03.011 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 51.00 Werkstoffkunde: Allgemeines VZ 51.32 Werkstoffmechanik VZ AR 60 2015 51-66 16 045F 690 |
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Enthalten in LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS Amsterdam [u.a.] volume:60 year:2015 pages:51-66 extent:16 |
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Enthalten in LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS Amsterdam [u.a.] volume:60 year:2015 pages:51-66 extent:16 |
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This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. 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LEPTIN CONCENTRATION PREDICTS CENTRAL SLEEP APNEA IN HEART FAILURE PATIENTS |
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dynamic green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method |
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Dynamic Green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method |
| abstract |
This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. |
| abstractGer |
This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. |
| abstract_unstemmed |
This paper presents a new modified stiffness matrix method for the dynamic response analysis of a three-dimensional poroelastic layered half space subject to internal concentrated loads. This three-dimensional problem can be simplified as two two-dimensional problems consisting of the in-plane response and the anti-plane response. Similar to the principle of displacement method in structural mechanics, firstly, the top and bottom surfaces of a loaded layer are fixed, and the reaction forces at two “fixed ends” can be obtained using the superposition of the particular and homogeneous solution. Secondly, the displacement at the layer interface can be obtained using a direct stiffness method. In the loaded layer, the Green׳s function is decomposed into the particular solution, the homogeneous solution and the reaction solution, and the particular solution can be replaced by the analytical solution for the poroelastic full space. With this technique, the convergence problem due to the improper integral can be addressed with sources and receivers at similar or at the same depth, and a fictitious surface does not need to be introduced as in the traditional method. Finally, the results of the dynamic response of a poroelastic layered half space are presented both in the frequency and time domain. |
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Dynamic Green׳s function for a three-dimensional concentrated load in the interior of a poroelastic layered half-space using a modified stiffness matrix method |
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