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Numerical Problems in Non-Linear Finite Element Analysis of the Post-Failure Behavior of Structural System

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CDNCRETE LIBRARY OF JSCE NO. 6, DECEMBER 1985

Numerical Problems in Non-Linear Finite Element Analysis of the Post-Failure Behavior of Structural System

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Koichi MAEKAWA Jun YAMAZAKI Takeshi HIGAI

SYNOPSIS

Investigation was made of the sources of problems and peculiarities encountered during finite element methods of analysis of strain softening structures.

Typical problems were demonstrated first by using reinforced concrete deep beam example structure. Second, a one—dimensional three element example structure was used to demonstrate the problems of solution divergence,oscillations,or non—uniqueness of solution. Effects were discussed of the materials models, such as hysteretic as contrasted to non—linear elasticity, load increment step size, element size, tangent stiffness and non—negative stiffness convention.

K.Maekawa is Assistant Lecturer, Department of Civil Engineering, Nagaoka Technological University. Received BS and MS from University of Tokyo in l98O and 1982. His research interest is in deformational behavior of concrete under multiaxial stresses and numerical analysis methods of reinforced concrete structures.

J.Yamazaki is Associate Professor, Department of Civil Engineering, Tokyo Metropolitan University. Received Ph.D from University of Washington in 1975.

Worked for Concrete Technology Corporation,Tacoma,1975-1976. His research inte- rest is in slabs and reinforced concrete members under cyclic loadings.

T.Higai is Associate Professor, Department of Civil Engineering, Yamanashi

University. Received D.Eng from University of Tokyo in 1972. He was visiting

scholar at University of Manitova, 1982-1983. His research interest is in shear

problems, aseismic design and non—linear analysis of concrete structures.

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