A dual beam model for geosynthetic-reinforced granular fill on an elastic foundation

Abstract In this study, a new dual beam model was proposed for a geosynthetic-reinforced granular fill with an upper pavement. This dual beam model was subjected to a uniform surcharge loading and resting on an elastic foundation which was simulated by a Pasternak model. The upper pavement was modeled by an Euler–Bernoulli beam while the geosynthetic reinforced granular fill was simulated by a reinforced Timoshenko beam. The explicit derivation process for the behavior of this dual beam-foundation system was presented and an exact solution was obtained. A two-dimensional finite element analysis and a Pasternak model for simulating the granular fill were carried out to validate the reliability of the proposed dual beam model. A parametric analysis was put forward to investigate the behavior of this dual beam-foundation system. It was found that the length of the pavement structure and vertical uniform loading, the stiffness and shear modulus of the foundation soil had significant influences on the behavior of the dual beam-foundation system.

[1]  Hung Nguyen-Xuan,et al.  Isogeometric Analysis of Laminated Composite Plates Using the Higher-Order Shear Deformation Theory , 2015 .

[2]  Madhira R. Madhav,et al.  Settlement response of a reinforced shallow earth bed , 1994 .

[3]  Priti Maheshwari,et al.  Stochastic design of beams on reinforced random earth beds in deterministic mode , 2009 .

[4]  Sanjay Kumar Shukla,et al.  A generalized mechanical model for geosynthetic-reinforced foundation soil , 1994 .

[5]  N. Tullini,et al.  Static analysis of Timoshenko beam resting on elastic half-plane based on the coupling of locking-free finite elements and boundary integral , 2010 .

[6]  Huu-Tai Thai,et al.  Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory , 2015 .

[7]  B. Akgöz,et al.  Bending analysis of embedded carbon nanotubes resting on an elastic foundation using strain gradient theory , 2016 .

[8]  P. L. Pasternak.  On a new method of analysis of an elastic foundation by means of two foundation constants , 1954 .

[9]  Madhira R. Madhav,et al.  Modified pasternak model for reinforced soil , 1989 .

[10]  J. H. Yin.  A Nonlinear Model of Geosynthetic-Reinforced Granular Fill Over Soft Soil , 1997 .

[11]  Jian-Hua Yin,et al.  Comparative Modeling Study of Reinforced Beam on Elastic Foundation , 2000 .

[12]  Ya-Jun Guo,et al.  SOLUTION METHOD FOR BEAMS ON NONUNIFORM ELASTIC FOUNDATIONS , 2002 .

[13]  Sanjay Kumar Shukla,et al.  Time-dependent settlement analysis of a geosynthetic-reinforced soil , 2003 .

[14]  A. S. Sayyad.  Comparison of various refined beam theories for the bending and free vibration analysis of thick beams , 2011 .

[15]  J. Reddy.  A Simple Higher-Order Theory for Laminated Composite Plates , 1984 .

[16]  Z. Ai,et al.  Static analysis of Timoshenko beam on elastic multilayered soils by combination of finite element and analytical layer element , 2015 .

[17]  Priti Maheshwari,et al.  Analysis of beams on reinforced granular beds , 2004 .

[18]  G. Cowper.  The Shear Coefficient in Timoshenko’s Beam Theory , 1966 .

[20]  Huu-Tai Thai,et al.  A simple first-order shear deformation theory for laminated composite plates , 2013 .

[21]  S. Rajesh,et al.  A generalized model for geosynthetic reinforced railway tracks resting on soft clays , 2015 .

[22]  M. Jao,et al.  STABILITY OF GEOSYNTHETIC-REINFORCED SOIL ABOVE A CAVITY , 1996 .

[23]  Y. K. Cheung,et al.  Beams and plates on elastic foundations: a review , 2005 .

[24]  Angelo Masi,et al.  Free vibrations of foundation beams on two-parameter elastic soil , 1993 .

[25]  J. H. Yin,et al.  Elastic Analysis of Soil-Geosynthetic Interaction , 2001 .

[26]  Nagaratnam Sivakugan,et al.  Numerical Analysis of Multi Layer Geosynthetic-Reinforced Granular Bed over Soft Fill , 2007 .

[27]  M. Viladkar,et al.  A mathematical model for beams on geosynthetic reinforced earth beds under strip loading , 2009 .

[28]  Jian-Hua Yin,et al.  Closed-Form Solution for Reinforced Timoshenko Beam on Elastic Foundation , 2000 .

[29]  Guangyu Shi,et al.  A new simple third-order shear deformation theory of plates , 2007 .

[30]  Priti Maheshwari,et al.  Modeling of Beams on Reinforced Granular Beds , 2006 .

[31]  Fuat Demir,et al.  Response of a completely free beam on a tensionless Pasternak foundation subjected to dynamic load , 2011 .

[32]  Ivo Caliò,et al.  CLOSED-FORM TRIGONOMETRIC SOLUTIONS FOR INHOMOGENEOUS BEAM-COLUMNS ON ELASTIC FOUNDATION , 2004 .

[34]  M. El-Mously.  Fundamental frequencies of Timoshenko beams mounted on Pasternak foundation , 1999 .

[35]  Ivo Caliò,et al.  Free vibrations of Timoshenko beam-columns on Pasternak foundations , 2013 .