COMPOSITE INFINITE ELEMENT FOR MODELING UNBOUNDED SATURATED-SOIL MEDIA

The concept of unbounded soil regions employed in the treatment of problems in geotechnical engineering is discussed. An inifinte element is developed in this paper which provides a convenient numerical alternative for modeling problems with variable soil properties and complex boundary conditions. The accuracy of the element has been verified by comparing numerical solutions with various bench-mark analytical results. By using mesh configurations of different sizes, it was observed that both computational economy and solution accuracy can be improved by the incorporation of infinite elements.

[1]  P. P. Lynn,et al.  Infinite elements with 1/rn type decay , 1981 .

[2]  Bernhard A. Schrefler,et al.  Mapped infinite elements in soil consolidation , 1987 .

[3]  Jamshid Ghaboussi,et al.  Variational Formulation of Dynamics of Fluid-Saturated Porous Elastic Solids , 1972 .

[4]  J. R. Booker,et al.  THE TIME-SETTLEMENT BEHAVIOUR OF A RIGID DIE RESTING ON A DEEP CLAY LAYER , 1975 .

[5]  TWO AND THREE DIMENSIONAL CONSOLIDATION OF A CLAY LAYER WITH FINITE THICKNESS , 1972 .

[6]  O. C. Zienkiewicz,et al.  A novel boundary infinite element , 1983 .

[7]  E. Wilson,et al.  Flow of compressible fluid in porous elastic media , 1973 .

[8]  O. Zienkiewicz,et al.  The coupling of the finite element method and boundary solution procedures , 1977 .

[9]  Prabhat Kumar,et al.  Static Infinite Element Formulation , 1985 .

[10]  P. K. Banerjee,et al.  Boundary element methods in engineering science , 1981 .

[11]  Alain Curnier,et al.  A static infinite element , 1983 .

[12]  Bernhard A. Schrefler,et al.  Non‐isothermal consolidation of unbounded porous media using mapped infinite elements , 1987 .

[13]  R. E. Gibson,et al.  PLANE STRAIN AND AXIALLY SYMMETRIC PROBLEMS OF THE CONSOLIDATION OF A SEMI-INFINITE CLAY STRATUM , 1960 .

[14]  C. Brebbia,et al.  Boundary Element Techniques in Engineering , 1979 .

[15]  M. Biot General Theory of Three‐Dimensional Consolidation , 1941 .

[16]  R.K.N.D. Rajapakse,et al.  An efficient elastodynamic infinite element , 1986 .

[17]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[18]  J. C. Marques,et al.  Infinite elements in quasi-static materially nonlinear problems , 1984 .

[19]  R.K.N.D. Rajapakse,et al.  Elastostatic Infinite Elements for Layered Half Spaces , 1985 .

[20]  R. E. Gibson,et al.  DISPLACEMENT FUNCTIONS AND LINEAR TRANSFORMS APPLIED TO DIFFUSION THROUGH POROUS ELASTIC MEDIA , 1960 .

[21]  Mark S. Shephard,et al.  An algorithm for multipoint constraints in finite element analysis , 1979 .

[22]  E. Wilson,et al.  FINITE-ELEMENT ANALYSIS OF SEEPAGE IN ELASTIC MEDIA , 1969 .