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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 9/2022

07.07.2022 | Original

Dynamic BEM analysis of elastic foundation on anisotropic half-plane

verfasst von: Sonia Parvanova, Petia Dineva

Erschienen in: Archive of Applied Mechanics | Ausgabe 9/2022

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Abstract

The aim is to solve 2D dynamic problem in frequency and time domains for a flexible foundation resting in an elastic anisotropic half-plane with arbitrary geometry subjected to plane longitudinal P- and transverse SV-waves. The computational tool is based on the boundary integral equation method using frequency-dependent fundamental solution of the governing equation in 2D anisotropic elastodynamics. Numerical scheme verification and parametric studies are presented and discussed. The obtained results illustrate clearly the wave field sensitivity to the type and characteristics of the incident plane wave, to the anisotropic material properties and to the anisotropic soil–foundation dynamic interaction.
Vorheriger Artikel Linear water wave propagation in the presence of an inclined flexible plate with variable porosity
Nächster Artikel Deflection of film under biaxial tension and central concentrated load

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Literatur
1.
Gao, Z., Zhao, J., Li, X.: The deformation and failure of strip footings on anisotropic cohesionless sloping grounds. Numer. Anal. Geomech. 45(10), 1526–1545 (2021)CrossRef
2.
Winkler, E.: Die Lehre von der Elastizität und Festigkeit. Dominicus, Prague (1867)
3.
Lamb, H.: On the propagation of tremors over the surface of an elastic solid. Philos. Trans. Royal Soc. London Ser. A 203, 1–42 (1904)
4.
Clouteau, D., Cottereau, R., Lombaert, G.: Dynamics of structures coupled with elastic media –a review of numerical models and methods. J. Sound Vib. 332(10), 2415–2436 (2013)CrossRef
5.
Kausel, E.: Early history of soil-structure interaction. Soil Dyn. Earthq. Eng. 30, 822–832 (2010)CrossRef
6.
Mangling, L., Huaifeng, W., Xi, Ch., Yongmei, Z.: Structure-soil-structure interaction: literature review. Soil. Dyn. Earthq. Eng. 31, 1724–1731 (2011)CrossRef
7.
Vivek, G., Hora, M.S.: A review on interaction behaviour of structure-foundation-soil system. Int. J. Eng. Res. Appl. 2(6), 639–644 (2012)
8.
Selvadurai, A.P.S.: Elastic Analysis of Soil–foundation Interaction. Elsevier, Amsterdam (1979)
9.
Mindlin, R.D.: Force at a point in the interior of a semi-infinite solid. Physics 7, 195–202 (1936)MATHCrossRef
10.
Ai, Z., Li, Z., Cheng, Y.: BEM analysis of elastic foundation beams on multilayered isotropic soils. Soils Found. 54(4), 667–674 (2014)CrossRef
11.
Wang, Y., Rajapakse, R.K.N.D.: Dynamics of rigid strip foundations embedded in orthotropic elastic soils. Earthq. Eng. Struct. Dyn. 20(10), 927–947 (1991)CrossRef
12.
Eskandari, M., Ahmadi, F., Khazaeli, S.: Dynamic analysis of a rigid circular foundation on a transversely isotropic half-space under a buried inclined time-harmonic load. Soil Dyn. Earthq. Eng. 63, 184–192 (2014)CrossRef
13.
Gazetas, G.: Strip foundations on a cross-anisotropic soil layer subjected to dynamic loading. Géotechnique 31(2), 161–179 (1981)CrossRef
14.
15.
Barros, P.L.A.: Impedances of rigid cylindrical foundations embedded in transversely isotropic soils. Int. J. Numer. Anal. Method Geomech. 30, 683–702 (2006)MATHCrossRef
16.
Amiri-Hezaveh, A., Eskandari-Ghadi, M., Rahimian, M., Ghorbani-Tanha, A.K.: Impedance functions for surface rigid rectangular foundations on transversely isotropic multilayer half-Spaces. ASME J. Appl. Mech. 80(5), 051017–051112 (2013)CrossRef
17.
Apsel, R., Luco, E.J.: Impedance functions for foundations embedded in a layered medium: an integral equation approach. Earthq. Eng. Struct. Dyn. 15, 213–231 (1987)CrossRef
18.
Han, Z., Zhou, M., Zhou, X., Yang, L.: Dynamic response of 3D surface/embedded rigid foundations of arbitrary shapes on multi-layered soils in time domain. Int. J. Struct. Stab. Dyn. 19(09), 1950106 (2019)MathSciNetCrossRef
19.
Ba, Z., Lee, V.W., Liang, J., Yan, Y.: Scattering of plane qP- and qSV-waves by a canyon in a multi-layered transversely isotropic half-space. Soil Dyn. Earthq. Eng. 98, 120–140 (2017)CrossRef
20.
Keawsawasvong, S., Senjuntichai, T.: Vertical dynamic response of rigid circular foundation in multilayered transversely isotropic poroelastic half-space. Int. J. Struct. Stab. Dyn. 21(09), 2150124 (2021)MathSciNetCrossRef
21.
Labaki, J., Mesquita, E., Rajapakse, R.K.N.D.: Vertical vibrations of an elastic foundation with arbitrary embedment within a transversely isotropic, layered soil. Comput. Model. Eng. Sci. 103(5), 281–313 (2014)MathSciNetMATH
22.
23.
24.
Iguchi, M., Luco, J.E.: Dynamic response of flexible rectangular foundations on an elastic half-space. Earthq. Eng. Struct. Dyn. 9, 239–249 (1981)CrossRef
25.
Qian, J., Tham, L.G., Cheung, Y.K.: Dynamic cross-interaction between flexible surface footings by combined BEM and FEM. Earthq. Eng. Struct. Dyn. 25, 509–526 (1996)CrossRef
26.
Guerra, C., Barros, P., Pavanello, R.: Dynamic behaviour of flexible plates supported by a transversely isotropic half-space. In: Ávila, S. M. (ed) Proceedings of the XXXVII Iberian Latin-American Congress on Computational Methods in Engineering, ABMEC, Brasília, DF, Brazil, November 6–9 (2016)
27.
Halpern, M.R., Christiano, P.: Steady-state harmonic response of a rigid plate bearing on a liquid-saturated poroelastic half space. Earthq. Eng. Struct. Dyn. 14, 439–454 (1986)CrossRef
28.
Kassir, M.K., Xu, J.M.: Interaction functions of a rigid strip bonded to saturated elastic half-space. Int. J. Solids Struct. 24(9), 915–936 (1988)MATHCrossRef
29.
Bougacha, S., Tassoulas, J.L.: Seismic analysis of gravity dams. I: modeling of sediments. J. Eng. Mech. ASCE 117(8), 1826–1837 (1991)CrossRef
30.
Bougacha, S., Tassoulas, J.L.: Seismic response of gravity dams. II: effects of sediments. J. Eng. Mech. ASCE 117(8), 1839–1850 (1991)CrossRef
31.
Rajapakse, R.K.N.D., Senjuntichai, T.: Dynamic response of a multi-layered poroelastic medium. Earthq. Eng. Struct. Dyn. 24, 703–722 (1995)MATHCrossRef
32.
Zeng, X., Rajapakse, R.K.N.D.: Vertical vibrations of a rigid disk embedded in a poroelastic medium. Int. J. Numer. Anal. Methods Geomech. 23(15), 2075–2095 (1999)MATHCrossRef
33.
Senjuntichai, T., Mani, S., Rajapakse, R.K.N.D.: Vertical vibration of an embedded rigid foundation in a poroelastic soil. Soil. Dyn. Earthq. Eng. 26(6–7), 626–636 (2006)CrossRef
34.
Cai, Y.Q., Hu, X.Q., Xu, C.J., Hong, Z.S.: Vertical dynamic response of a rigid foundation embedded in a poroelastic soil layer. Int. J. Numer. Anal. Methods Geomech. 33(11), 1363–1388 (2009)MATHCrossRef
35.
Hu, X.Q., Cai, Y.Q., Wang, J., Ding, G.Y.: Rocking vibrations of a rigid embedded foundation in a poroelastic soil layer. Soil Dyn. Earthq. Eng. 30(4), 280–284 (2010)CrossRef
36.
Senjuntichai, T., Keawsawasvon, S., Rajapakse, R.K.N.D.: Vertical vibration of a circular foundation in a transversely isotropic poroelastic soil. Comput. Geotech. 122, 103550 (2020)CrossRef
37.
Song, Y., Lee, D.: An improved two-spring model for foundation uplift analysis. Comput. Struct. 46(5), 791–805 (1993)CrossRef
38.
Gazetas, G., Apostolou, M.: Nonlinear soil-structure interaction: foundation uplifting and soil yielding. In: Third UJNR Workshop on Soil-Structure Interaction. Menlo Park, California, USA (2004)
39.
Harden, C., Hutchinson, T., Martin, G. R., Kutter, B. L.: Numerical modeling of the nonlinear cyclic response of shallow foundations, Report. PEER 2005/04 (2005)
40.
41.
Wang, L., Ishihara, T.: A study of the effects of foundation uplift on the seismic loading of wind turbine tower and shallow foundation using a new dynamic Winkler model. Eng. Struct. 219, 110745 (2020)CrossRef
42.
Fukuwa, N., Koyanagi, Y., Ichikawa, T.: Uplift analysis of base mat considering geometrical nonlinearity of dynamic ground impedance. J. Struct. Eng. 32B, 11–18 (1986)
43.
44.
Bode, Ch., Hirschauer, R., Savidis, S.: Soil-structure interaction in the time-domain using half-space green’s functions. Soil Dyn. Earthq. Eng. 22, 283–295 (2002)CrossRef
45.
Galvin, P., Romero, A.: A MATLAB toolbox for soil–structure interaction analysis with finite and boundary elements. Soil Dyn. Earthq. Eng. 57, 10–14 (2014)CrossRef
46.
Padron, L.A., Aznarez, J.J., Maeso, O.: Dynamic structure–soil–structure interaction between nearby piled buildings under seismic excitation by BEM-FEM model. Soil Dyn. Earthq. Eng. 9(6), 1084–1096 (2009)CrossRef
47.
Romero, A., Galvín, P., Domínguez, J.: 3D non-linear time domain FEM–BEM approach to soil–structure interaction problems. Eng. Anal. Bound. Elem. 37(3), 501–512 (2013)MathSciNetMATHCrossRef
48.
49.
Von Estorff, O., Hagen, Ch.: Iterative coupling of FEM and BEM in 3D transient elastodynamics. Earthq. Eng. Struct. Dyn. 29, 775–787 (2005)MATH
50.
51.
Spyrakos, C.C., Xu, Ch.: Seismic soil–structure interaction of massive flexible strip-foundations embedded in layered soils by hybrid BEM–FEM. Soil Dyn. Earthq. Eng. 23, 383–389 (2003)CrossRef
52.
Dominguez, J.: Boundary Elements in Dynamics. WIT Press, University of Seville, Spain (1993)MATH
53.
Antes, H., Von Estorff, O.: Dynamic response analysis of rigid foundations and of elastic structures by boundary element procedures. Soil Dyn. Earthq. Eng. 8, 68–74 (1989)CrossRef
54.
Spyrakos, C.C., Beskos, D.E.: Dynamic response of rigid strip-foundations by a time-domain boundary element method. Int. J. Numer. Methods Eng. 23(8), 1547–1565 (1986)MATHCrossRef
55.
Karabalis, D., Beskos, D.: Dynamic response of 3-D embedded foundations by the boundary element method. Comput. Methods Appl. Mech. Eng. 56(1), 91–119 (1986)MATHCrossRef
56.
Kerner, C., Dyer, B., Worthington, M.: Wave propagation in a vertical transversely isotropic medium: field experiment and model study. Geophys. J. Int. 97(2), 295–309 (1989)CrossRef
57.
Chaillat, S., Bonnet, M., Semblat, J.F.: A new fast multi-domain BEM to model seismic wave propagation and amplification in 3-D geological structures. Geophys. J. Int. 177, 509–531 (2009)CrossRef
58.
Wang, C., Achenbach, J.: Elastodynamic fundamental solutions for anisotropic solids. Geophys. J. Int. 118, 384–392 (1994)CrossRef
59.
Manolis, G., Dineva, P., Rangelov, T., Wuttke, F.: Seismic wave propagation in non–homogeneous elastic media by boundary elements. In: Solid mechanics and its applications, vol. 240, Springer International Publishers, Cham, Switzerland (2017) ISBN: 978-3-319-45205-0
60.
Dineva, P., Parvanova, S., Vasilev, G., Wuttke, F.: Seismic soil-tunnels interaction via BEM part I. Mechanical model. J. Theor. Appl. Mech. 44(3), 31–48 (2014)MathSciNetMATHCrossRef
61.
Garcia-Sanchez, F. G.: Numerical study of fracture problems in elastic anisotropic and piezoelectric solids. Dissertation, University of Sevilla, Spain (2005)
62.
Alvarez-Rubio, S., Sanchez-Sesma, F.J., Benito, J.J., Alarcon, E.: The direct boundary element method: 2D site effects assessment on laterally varying layered media (methodology). Soil Dyn. Earthq. Eng. 24, 167–180 (2004)CrossRef
63.
Yeh, C.S., Teng, T.J., Liao, W.I.: The transition matrix for the scattering of elastic waves in a half-space. J. Chin. Inst. Eng. 30(6), 983–996 (2007)CrossRef
64.
65.
Dineva, P., Parvanova, S., Vasilev, G., Wuttke, F.: Seismic soil-tunnels interaction via BEM part II. Numerical results. J. Theor. Appl. Mech. 44(4), 29–50 (2014)MathSciNetMATHCrossRef
66.
Chuhan, Z., Yuntao, R., Pekau, O.A., Feng, J.: Time-domain boundary element method for underground structures in orthotropic media. J. Eng. Mech. 130(1), 105–116 (2004)CrossRef
Metadaten
Titel
Dynamic BEM analysis of elastic foundation on anisotropic half-plane
verfasst von
Sonia Parvanova
Petia Dineva
Publikationsdatum
07.07.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 9/2022
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-022-02203-4

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