Showing papers on "Tangent stiffness matrix published in 1979"
TL;DR: In this paper, a numerical procedure is developed to analyze complex 3-dimensional assemblies of substructures and cables, which is applicable to guyed towers, flexible transmission lines, cable roofs or mooring networks.
139 citations
TL;DR: In this article, a finite element displacement method considering both geometrical nonlinearity and material non-linearity has been used to investigate the postbuckling behaviour and the ultimate strength of thin-walled nonplanar structural members.
18 citations
TL;DR: In this article, the authors present octahedral stress-strain relationships and derive appropriate stiffness matrices, both secant and tangent, for plane stress, plane strain and three-dimensional applications.
Abstract: Some Investigators have recently suggested that appropriate nonlinear stress-strain relationships for concrete can be obtained by deriving expressions for bulk and shearing moduli based upon experimental data presented in terms of octahedral stresses and strains. The paper reviews octahedral stress-strain relationships and derives appropriate stiffness matrices, both secant and tangent, for plane stress, plane strain, and three-dimensional applications. It is shown that proper tangent stiffness matrices cannot be obtained simply by replacing secant moduli with tangent moduli. Incremental matrices suitable for implementation in nonlinear finite-element programs are presented and considered.
9 citations
TL;DR: In this article, a review of inelastic analysis of a cross section is made, given the history of deformation, axial force and moment may be obtained, and given the past history of moment and axial forces, a tangent stiffness method is modified to avoid convergence difficulties due to “large” unloading.
Abstract: A review of inelastic analysis of a cross section is made. Given the history of deformation, the history of axial force and moment may be obtained. Also, given the history of moment and axial force the history of deformation may be obtained. The tangent stiffness method is modified to avoid convergence difficulties due to “large” inelastic unloading. Stress-strain curves considered are generally nonlinear but symmetric, exhibiting hysteresis and the Bauschinger effect. The solution is checked against others. The method has been included in a discrete element frame analysis program and used to predict the behavior of a brace member for which experimental results are available.
6 citations