Neumann's method to solve boundary problems of elastic thin shells

Nayshtut Yu.S.
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This paper studies possibilities to use Neumann's method to solve boundary problems of elastic thin shells. Variational statement of statical problems for shells allows examining the problems within the space of distributions. Convergence of the Neumann's method is proved for the shells with holes when the boundary of the domain is not completely fixed. Numerical implementation of the Neumann's method normally takes a lot of time before some reliable results can be achieved. This paper suggests a way to improve convergence of the process and allows for parallel computing and checkout procedure during calculations.

Keywords: boundary problems, theory of thin elastic shells, Neumann's method, variational principles, Korn's inequality, distributions, embedding theorems, Green tensor
Citation in English: Nayshtut Yu.S. Neumann's method to solve boundary problems of elastic thin shells // Computer Research and Modeling, 2015, vol. 7, no. 6, pp. 1143-1153
Citation in English: Nayshtut Yu.S. Neumann's method to solve boundary problems of elastic thin shells // Computer Research and Modeling, 2015, vol. 7, no. 6, pp. 1143-1153
DOI: 10.20537/2076-7633-2015-7-6-1143-1153
URL: http://crm-en.ics.org.ru/journal/article/2394/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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