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Numerically generated tangent stiffness matrices using the complex variable derivative method for nonlinear structural analysis

delete2011-01-01
delete29
PRE
AI
S
Sanghaun Kim
J
Junghyun Ryu
M
Maenghyo Cho *
DOI:10.1016/j.cma.2010.09.004delete
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Abstract

Abstract

En 中文
Accurate tangent stiffness matrices are essential for solving nonlinear structural problems using Newton-like methods. This paper presents a numerical procedure for generating accurate tangent stiffness matrices from the derivative approximation of internal force using the complex variable derivative method (CVDM). The present procedure is suitable for problems that require complex constitutive relations and/or kinematic nonlinearities whose models are difficult to linearize, as well as for the incorporation of Newton-like solution strategies with nonlinear structural analyses. (C) 2010 Published by Elsevier B.V.
Keywords:
Complex variable derivative method
Geometric nonlinear
Tangent stiffness matrix
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Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

Organization

S
seoul national university (snu)
Scholars:
7.2W
Papers: 6.6W
Citations: 86