Pavlicek, S., Jia, X., & Mang, H. A. (2014). Numerical Solution of the Consistently Linearized Eigenproblem by Means of a Finite Difference Expression for Approximation of a Directional Derivative in MSC.MARC. Proceedings in Applied Mathematics and Mechanics. https://doi.org/10.1002/pamm.201410087
E202 - Institut für Mechanik der Werkstoffe und Strukturen
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Journal:
Proceedings in Applied Mathematics and Mechanics
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Date (published):
Dec-2014
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Publisher:
Wiley-VCH Verlag GmbH & Co. KGaA
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Peer reviewed:
No
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Abstract:
More recently, a concept of energy‐based categorization of buckling was proposed. It represents a symbiosis of mechanics of solids and spherical geometry. The fundamental mathematical background of this concept is the so‐called consistently linearized eigenproblem. The numerical solution of this eigenproblem by means of the finite element method is a key issue of the mentioned concept. This solution is obtained with the help of the commercial finite element software MSC.MARC . An iterative process, involving the programming lanuages PYTHON and FORTRAN 77 and the software MATLAB , is devised, making use of the available element library, of different types of solvers, and of further modeling tools.
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Additional information:
This is the peer reviewed version of the following article: Pavlicek, S., Xia, J. and Mang, H. A. (2014), Numerical Solution of the Consistently Linearized Eigenproblem by Means of a Finite Difference Expression for Approximation of a Directional Derivative in MSC.MARC. Proc. Appl. Math. Mech., 14: 199–200, which has been published in final form at <a href="https://doi.org/10.1002/pamm.201410087">https://doi.org/10.1002/pamm.201410087</a>. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
