Ultimate Behavior of Continuous Footings in Tensionless Contact with a Three-Parameter Soil

ABSTRACT The paper presents an analytical study of the behavior of rigid-perfectly plastic continuous slab foundations indenting a three-parameter soil (Kerr model) under the action of statically increasing applied line load. Simple formulas are obtained for critical loads, maximum surface settlements, foundation distortions, and soil reactions in terms of the load intensity, before and after the plate has been transformed into a mechanism. Two distinct phases of meta-plastic behavior are identified depending on whether or not full contact is maintained between soil and foundation. The results are compared with those obtained for a Winkler medium and an elastic continuum halfspace as well as with experimental data. Finally, the phenomenon of punching shear failure in the soil under the foundation perimeter is also investigated through a simple extension of the three-parameter model.

[1]  A.P.S. Selvadurai.  The response of a rigid circular plate resting on an idealized elastic-plastic foundation , 1976 .

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

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

[4]  G. Gazetas.  Progressive Collapse of Rigid-Plastic Circular Foundations , 1982 .

[5]  K. Wieghardt.  Über den Balken auf nachgiebiger Unterlage , 1922 .

[6]  H. Poulos,et al.  Elastic solutions for soil and rock mechanics , 1973 .

[7]  George Gazetas,et al.  Elastic-Plastic Slabs on Elastic Foundation , 1978 .

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

[9]  Y. C. Das,et al.  Variational Approach to Beams on Elastic Foundations , 1971 .

[10]  G. Gazetas,et al.  Static and dynamic displacements of foundations on heterogeneous multilayered soils , 1980 .

[11]  G. Gladwell,et al.  Elastic Analysis of Soil-Foundation Interaction , 1979 .

[12]  G. Gazetas.  Indentation of Anisotropic Halfspace by Yielding Circular Foundation , 1981 .

[13]  A. O. Awojobi,et al.  PLANE STRAIN AND AXIALLY SYMMETRIC PROBLEMS OF A LINEARLY NONHOMOGENEOUS ELASTIC HALF-SPACE , 1973 .

[14]  Warren J. Rhines.  Elastic-Plastic Foundation Model for Punch-Shear Failure , 1969 .

[15]  L. Keer.  Mixed boundary-value problems for an elastic half-space , 1967, Mathematical Proceedings of the Cambridge Philosophical Society.

[16]  K. Terzaghi,et al.  Soil mechanics in engineering practice , 1948 .

[17]  Arnold D. Kerr,et al.  Elastic and Viscoelastic Foundation Models , 1964 .

[18]  R. E. Gibson,et al.  The analytical method in soil mechanics , 1974 .

[19]  Giuliano Augusti.  Mode approximations for rigid-plastic structures supported by an elastic medium , 1970 .

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

[22]  M. Hetényi.  A General Solution for the Bending of Beams on an Elastic Foundation of Arbitrary Continuity , 1950 .