Title: Nonlinear Analysis of Reinforced Concrete by the Finite Element Method

Author(s): Arthur H. Nilson

Publication: Journal Proceedings

Volume: 65

Issue: 9

Appears on pages(s): 757-766

Keywords: analogs;biaxial loads;bond (concrete to reinforcement);cracking (fracturing); deflection;finite element method (structural);loads (forces);models;physical properties;reinforced concrete;reinforcing steel;stiffness;stress analysis.

DOI: 10.14359/7510

Date: 9/1/1968

Abstract:
Recent development of the finite element method of analysis permits consideration of members which are non-homogeneous, defined by irregular boundaries, and arbitrarily supported and loaded. The continuum is replaced with a system of finite elements interconnected only at discrete points and the resulting structure is analyzed as a highly indeterminate system. The method is used to determine the internal stresses and displacements for reinforced concrete members subjected to progressively increasing load, with recognition of the several sources of nonlinearity. The resulting model permits accounting for (a) the influence of reinforcement, (b) changing topology due to progressive cracking, (c) realistic bond stress transfer between concrete and reinforcement, and (d) nonlinear material properties. Incremental loading permits study of member behavior through the entire range from zero load to ultimate.