Topic
Tangent stiffness matrix
About: Tangent stiffness matrix is a research topic. Over the lifetime, 1031 publications have been published within this topic receiving 21140 citations.
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46 citations
TL;DR: In this paper, the authors studied the buckling pressure of a balloon with n identical lobes and found that the smallest eigenvalue of a particular block leads to the balloon's buckling.
45 citations
TL;DR: In this article, an incremental elasto-plastic finite element method based on an updated Lagrangian formulation in which a sliding-sticking friction mode is specially considered was proposed to predict the buckling process and load-deflection curves for energy dissipation capacity during the design stage, before trials.
45 citations
TL;DR: A finite element based method to determine the incremental elastic material properties of planar membranes was developed and evaluated and the vector norm comparing the applied and calculated nodal force vectors was used to evaluate the accuracy of the solutions.
Abstract: A finite element based method to determine the incremental elastic material properties of planar membranes was developed and evaluated. The method is applicable to tissues that exhibit inhomogeneity, geometric and material nonlinearity, and anisotropy. Markers are placed on the tissue to form a four-node quadrilateral element. The specimen is loaded to an initial reference state, then three incremental loading sets are applied and the nodal displacements recorded. One of these loadings must include shear. These data are used to solve an over-determined system of equations for the tangent stiffness matrix. The method was first verified using analytical data. Next, data obtained from a latex rubber sheet were used to evaluate experimental procedures. Finally, experiments conducted on preconditioned rat skin revealed nonlinear orthotropic behavior. The vector norm comparing the applied and calculated nodal force vectors was used to evaluate the accuracy of the solutions.
45 citations
TL;DR: In this article, the spatial elasto-plastic behavior of steel arches is investigated in the case where they collapse due to inelastic lateral instability producing flexural-torsional deformations towards out-of-plane of the arch.
Abstract: The spatial elasto-plastic behavior of steel arches is investigated in the case where they collapse due to inelastic lateral instability producing flexural-torsional deformations towards out-of-plane of the arch. A tangent stiffness matrix for large deflections of the spatial members in an elasto-plastic state is newly derived and used in the numerical calculations. Attention is paid mainly to the following parameters, i.e., slenderness ratios, residual stresses, initial lateral deflections, loading directions, and properties of the materials. Their effects on the ultimate load carrying capacity of two-hinged parabolic arches are examined and illustrated in several figures. In addition to the parametric study, a typical numerical example of the ultimate strength analysis of a central-arch-girder bridge is presented as one of applications to the actual bridge.
45 citations