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Elasto-plastic finite element analysis with special reference to reinforced concrete Lau, John Hon-shing

Abstract

A numerical procedure is presented for the solution of elasto-plastic problems by means of the finite element approach. The incremental constitutive relationship from the Prandtl-Reuss equation is used in conjunction with the Von Mises yield criterion, the continuum being divided into triangular elements. The Modified Newton-Raphson method is employed to solve the nonlinear incremental equilibrium equation. Numerical examples are studied and compared with the experimental and theoretical results in the literature. The finite element program is also extended to nonlinear stress analysis of reinforced concrete structures.

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