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