ON THE CONSTRUCTION OF THE NODAL EXACT FINITE ELEMENT MODEL FOR AXIALLY LOADED PILE IN ELASTOPLASTIC SOIL

Abstract

An iterative algorithm to construct a displacement based finite element method for analyzing
axially loaded pile embedded in finite depth of elasto-plastic soil is presented. The investigation herein is
conducted on the condition of shape function by which exact solutions may be reproduced at the nodal points
regarding to a few number of elements. The examined shape functions which satisfy the homogeneous
governing equations in elastic and plastic soil through bisection iterative algorithm are introduced to obtain the
so-called exact element stiffness matrix via total potential energy principle. Numerical examples of elastostatic
pile embedded in elasto-plastic Winkler foundation illustrate the accuracy of proposed element compare with
conventional finite element shape functions. Axial force and displacement solutions show very good agreement
with data from the available literature i.e. the exact nodal displacement solution is obtained correspond to any
point load level even with a single element mesh employed.