Variational finite-difference methods in linear and nonlinear problems of the deformation of metallic and composite shells (review) View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2012-11

AUTHORS

V. A. Maksimyuk, E. A. Storozhuk, I. S. Chernyshenko

ABSTRACT

Variational finite-difference methods of solving linear and nonlinear problems for thin and nonthin shells (plates) made of homogeneous isotropic (metallic) and orthotropic (composite) materials are analyzed and their classification principles and structure are discussed. Scalar and vector variational finite-difference methods that implement the Kirchhoff–Love hypotheses analytically or algorithmically using Lagrange multipliers are outlined. The Timoshenko hypotheses are implemented in a traditional way, i.e., analytically. The stress–strain state of metallic and composite shells of complex geometry is analyzed numerically. The numerical results are presented in the form of graphs and tables and used to assess the efficiency of using the variational finite-difference methods to solve linear and nonlinear problems of the statics of shells (plates) More... »

PAGES

613-687

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10778-012-0544-8

DOI

http://dx.doi.org/10.1007/s10778-012-0544-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1048556025


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