Summary
An incremental finite element formulation for the analysis of geometrically non linear problems is developed. The incremental equations are obtained via the full incremental form of the principle of virtual displacements. This leads to the obtention of a non symmetric secant stiffness matrix which allows to compute the displacement increments in a direct iterative manner. It is shown how the secant matrix yields naturally the expression of the classic tangent matrix. In the last part of the paper the formulation is applied to the analysis of 3-D trusses using simple two node elements, and an example of application to a slender 3-D truss tower is presented.
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© 1986 Springer Japan
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Oñate, E., Oliver, J., Miquel-Canet, J., Suarez, B. (1986). A Finite Element Formulation for Geometrically Non Linear Problems Using a Secant Matrix. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_76
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DOI: https://doi.org/10.1007/978-4-431-68042-0_76
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-68044-4
Online ISBN: 978-4-431-68042-0
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