Skip to main content
SpringerLink
Log in

Analytical Methods for Dynamic Interaction Between Strip Foundations and Poroelastic Soils

  • Conference paper
  • First Online:
ICSCEA 2019

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 80))

Abstract

This paper reviews the applications of analytical methods based on Biot’s theory of poroelasticity to study dynamic interaction between strip foundations and poroelastic soils. First, Biot’s dynamics equations for both isotropic and transversely isotropic poroelastic materials under plane strain condition are reviewed. The analytical general solutions for poroelastic materials are then presented. The study of dynamic response of a multi-layered poroelastic half-plane by adopting an exact stiffness matrix method is also outlined. A semi-analytical discretization scheme based on the obtained fundamental solutions is employed to investigate the dynamic response of a rigid strip foundation bonded to poroelastic soils. Selected numerical results are presented for the cases of homogeneous and multi-layered poroelastic half-planes to illustrate the influence of various parameters on the dynamic response of rigid strip.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Ai ZY, Zhang YF (2016) Vertical vibration of a rigid strip footing on a transversely isotropic multilayered half-plane. Appl Math Model 40:23–24

    MathSciNet  MATH  Google Scholar 

  2. Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12:155–164

    Article  Google Scholar 

  3. Biot MA (1955) Theory of elasticity and consolidation for a porous anisotropic solid. J Appl Phys 26:182–185

    Article  MathSciNet  Google Scholar 

  4. Biot MA (1956) Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. J Acoust Soc Am 28:168–178

    Google Scholar 

  5. Biot MA (1962) Mechanics of deformation and acoustic propagation in porous media. J Appl Phys 33:1482–1498

    Article  MathSciNet  Google Scholar 

  6. Bougacha S, Roesset JM, Tassoulas JL (1993) Dynamic stiffness of foundations on fluid-filled poroelastic stratum. J Eng Mech 119(8):1649–1662

    Article  Google Scholar 

  7. Cheng AHD (1997) Material coefficients of anisotropic poroelasticity. Int J Rock Mech Min 34(2):199–205

    Article  MathSciNet  Google Scholar 

  8. Gazetas G (1981) Dynamic compliance matrix of rigid strip footing bonded to a viscoelastic cross anisotropic halfspace. Int J Mech Sci 23(9):547–559

    Article  Google Scholar 

  9. Gazetas G (1981) Strip foundations on a cross-anisotropic soil layer subjected to dynamic loading. Geotechnique 31(2):161–179

    Article  Google Scholar 

  10. Karasudhi P, Keep LM, Lee SL (1968) Vibratory motion of a body on an elastic half plane. J Appl Mech 35:697–705

    Article  Google Scholar 

  11. Kassir MK, Xu J (1988) Interaction functions of a rigid strip bonded to saturated elastic half-space. Int J Solid Struct 24:915–936

    Article  Google Scholar 

  12. Keawsawasvong S, Senjuntichai T (2019) Poroelastodynamic fundamental solutions of transversely isotropic half-plane. Comput Geotech 106:52–67

    Article  Google Scholar 

  13. Keawsawasvong S, Senjuntichai T (2019) Dynamic interaction between multiple rigid strips and transversely isotropic poroelastic layer. Comput Geotech 114:103144

    Article  Google Scholar 

  14. Lin G, Han Z, Zhong H, Li J (2013) A precise integration approach for dynamic impedance of rigid strip footing on arbitrary anisotropic layered half-space. Soil Dyn Earthq Eng 49:96–108

    Article  Google Scholar 

  15. Luco JE, Westmann RA (1972) Dynamic response of rigid footing bonded to an elastic half space. J Appl Mech 39:527–534

    Article  Google Scholar 

  16. Oien MA (1971) Steady motion of a rigid strip bonded to an elastic half space. J Appl Mech 38(2):328–334

    Article  Google Scholar 

  17. Piessens R, Doncker-Kapenga E, Uberhuber CW, Kahaner DK (1983) QUADPACK, A subroutine package for automatic integration. Springer, Berlin

    MATH  Google Scholar 

  18. Rajapakse RKND, Senjuntichai T (1995) Dynamic response of a multi-layered poroelastic medium. Earthq Eng Struct Dyn 24:703–722

    Article  Google Scholar 

  19. Senjuntichai T, Rajapakse RKND (1996) Dynamics of a rigid strip bonded to a multilayered poroelastic half-plane. In: Selvadurai APS (ed) Mechanics of poroelastic media. Kluwer Dordrecht, Netherlands

    MATH  Google Scholar 

  20. Senjuntichai T, Kaewjuea W (2008) Dynamic response of multiple flexible strips on a multilayered poroelastic half-plane. J Mech Mater Struct 3(10):1885–1901

    Article  Google Scholar 

  21. Sneddon IN (1951) Fourier transform. McGraw-Hill, New York

    Google Scholar 

  22. Wang Y, Rajapakse RKND, Shah AH (1991) Dynamic interaction between flexible strip foundations. Earthq Eng Struct Dyn 20(5):441–454

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Applied Mechanics and Structures Research Unit, Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok, 10330, Thailand

    Teerapong Senjuntichai & Suraparb Keawsawasvong

  2. Department of Civil Engineering, Thammasat School of Engineering, Thammasat University, Pathumthani, 12120, Thailand

    Suraparb Keawsawasvong

Authors
  1. Teerapong Senjuntichai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Suraparb Keawsawasvong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Teerapong Senjuntichai .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Texas A&M University, College Station, TX, USA

    J. N. Reddy

  2. School of Civil Engineering, The University of Queensland, St. Lucia, QLD, Australia

    Chien Ming Wang

  3. Faculty of Civil Engineering, Ho Chi Minh City University of Technology (HCMUT), Vietnam National University Ho Chi Minh City (VNU-HCM), Ho Chi Minh City, Vietnam

    Van Hai Luong

  4. Faculty of Civil Engineering, Ho Chi Minh City University of Technology (HCMUT), Vietnam National University Ho Chi Minh City (VNU-HCM), Ho Chi Minh City, Vietnam

    Anh Tuan Le

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Senjuntichai, T., Keawsawasvong, S. (2020). Analytical Methods for Dynamic Interaction Between Strip Foundations and Poroelastic Soils. In: Reddy, J., Wang, C., Luong, V., Le, A. (eds) ICSCEA 2019. Lecture Notes in Civil Engineering, vol 80. Springer, Singapore. https://doi.org/10.1007/978-981-15-5144-4_5

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-5144-4_5

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-5143-7

  • Online ISBN: 978-981-15-5144-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation