Title: Numerical Solution of the Consistently Linearized Eigenproblem by Means of a Finite Difference Expression for Approximation of a Directional Derivative in MSC.MARC
Language: English
Authors: Pavlicek, Stefan 
Jia, Xin
Mang, Herbert A.
Category: Research Article
Issue Date: 2014
Journal: Proceedings in Applied Mathematics and Mechanics
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.
DOI: 10.1002/pamm.201410087
Library ID: AC11360184
URN: urn:nbn:at:at-ubtuw:3-2045
ISSN: 1617-7061
Organisation: E202 - Institut für Mechanik der Werkstoffe und Strukturen 
Publication Type: Article
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