Inelastic analysis of semi-infinite foundation elements

The inelastic response of shallow and raft foundations is significantly complex due to the behavior of the surrounding semi-infinite soil media. The Winkler approach models the soil as a single layer, and assumes that the foundation reaction at a particular point is proportional to the soil displacement. In reality, the soil is a semi-infinite medium that can not be modeled as a single layer. In this paper a new finite element formulation was developed in which the soil can be viewed as a semi-infinite inelastic element that can resist bending, in addition to the well-known Winkler effect. Parametric analyses of an inelastic reinforced concrete foundation element is presented.

[1]  R. Park,et al.  Flexural Members with Confined Concrete , 1971 .

[2]  Arnold D. Kerr,et al.  A study of a new foundation model , 1965 .

[3]  I. Babuska.  The finite element method with Lagrangian multipliers , 1973 .

[4]  M. Biot,et al.  Bending of an infinite beam on an elastic foundation , 1937 .

[5]  Ashraf Ayoub,et al.  A two-field mix variational principle for partially connected composite beams , 2001 .

[6]  Milton E. Harr,et al.  Euler Beams on a Two Parameter Foundation Model , 1969 .

[7]  Ashraf Ayoub,et al.  MIXED FORMULATION OF NONLINEAR STEEL-CONCRETE COMPOSITE BEAM ELEMENT , 2000 .

[8]  B. Kutter,et al.  Soil-Foundation-Structure Interaction (Shallow Foundations) , 2002 .

[9]  Fuat Demir,et al.  Circular rigid beam on a tensionless two-parameter elastic foundation , 2005 .

[10]  Robert D. Cook,et al.  BEAM ELEMENTS ON TWO-PARAMETER ELASTIC FOUNDATIONS , 1983 .

[11]  A. G. Razaqpur,et al.  Exact analysis of beams on two-parameter elastic foundations , 1991 .

[12]  Ashraf Ayoub,et al.  Mixed formulation of nonlinear beam on foundation elements , 2003 .

[13]  O. C. Zienkiewicz,et al.  Basic formulation and linear problems , 1989 .

[14]  A. J. Valsangkar,et al.  Generalized Beam Element on Two‐Parameter Elastic Foundation , 1988 .

[15]  I. Coskun,et al.  The response of a finite beam on a tensionless Pasternak foundation subjected to a harmonic load , 2003 .

[16]  Inn-Joon Park,et al.  Cyclic Behavior and Liquefaction of Sand Using Disturbed State Concept , 2000 .

[17]  T. Y. Yang.  A finite element analysis of plates on a two parameter foundation model , 1972 .

[18]  J. Z. Zhu,et al.  The finite element method , 1977 .

[19]  Ioannis Avramidis,et al.  Formulation of a generalized beam element on a two-parameter elastic foundation with semi-rigid connections and rigid offsets , 2002 .

[20]  L. M. Shirima,et al.  Timoshenko Beam Element Resting on Two-Parameter Elastic Foundation , 1992 .

[21]  O C Zienkiewicz,et al.  The finite element method, fourth edition; volume 1: basic formulation and linear problems , 1994 .

[22]  M. S. Kaschiev,et al.  A beam resting on a tensionless Winkler foundation , 1995 .

[23]  F. Brezzi.  On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers , 1974 .