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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TL;DR: In this article, an efficient multiscale computational formulation is developed for the geometric nonlinear analysis of heterogeneous piezoelectric materials, which can describe the motion of macroscopic coarse element clearly and efficiently.
11 citations
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TL;DR: In this paper, a comparison of implementations of consistent tangent operators that arise in implicit integration of Von Mises and Drucker-Prager yield criteria is made, and the consequences of different formulations of the tangent operator on the numerical accuracy are assessed.
Abstract: A comparison is made of implementations of consistent tangent operators that arise in implicit integration of Von Mises and Drucker-Prager yield criteria. When computing the consistent tangent operator a matrix inversion has to be performed at integration point level. The consequences of different formulations of the consistent tangent operator on the numerical accuracy are assessed.
11 citations
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07 Apr 2003
TL;DR: In this article, a new modification scheme of the stress-strain tensor is presented for finite element analysis of wrinkled membranes, which is strictly based on tension field theory and leads to precise tangent stiffness matrix in the sense that the changes in the wrinkling direction and the amount of wrinkliness are both taken into account.
Abstract: A new modification scheme of the stress-strain tensor is presented for finite element analysis of wrinkled membranes. The scheme is strictly based on tension field theory. Modified stress-strain tensor leads to precise tangent stiffness matrix in the sense that the changes in the wrinkling direction and the amount of wrinkliness are both taken into account. Two numerical examples are presented to demonstrate the effectiveness and robustness of the scheme in the finite element analysis of partly wrinkled membranes.
11 citations
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TL;DR: In this article, a tangent stiffness matrix for initially crooked wide-flange members of elastic-plastic material is constructed and utilized for analyzing inelastic frames with initial geometrical imperfections.
11 citations
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TL;DR: In this paper, the authors propose a new bifurcation analysis method through the implementation of bifurlcation mechanism of a symmetric structure into the scaled corrector method, which is accurately approximated by decomposing a scaled-corrector vector into a number of vectors by means of block-diagonalization method in group-theoretic bifurbcation theory and, in turn, choosing the predominant one among these vectors.
11 citations