Nonlinear Deformation and Branching of the Solutions of Boundary-Value Problems of the Theory of Shells with Delaminations Under External Pressure

We consider the structure of branching of the solution of a nonlinear boundary-value problem of the theory of shells in the case of cylindrical shell with delamination area subjected to the action of external pressure. To find the solution, we use the generalized Kantorovich method applied to the an...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 228; no. 1; pp. 66 - 79
Main Authors Obodan, N. І., Gromov, V. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 2018
Springer
Springer Nature B.V
Subjects
BOUNDARY-VALUE PROBLEMS
CYLINDRICAL CONFIGURATION
Cylindrical shells
DEFORMATION
Delamination
External pressure
Kantorovich method
Laminates
LAYERS
Mathematical analysis
MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL SOLUTIONS
Mathematics
Mathematics and Statistics
NONLINEAR PROBLEMS
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Summary:We consider the structure of branching of the solution of a nonlinear boundary-value problem of the theory of shells in the case of cylindrical shell with delamination area subjected to the action of external pressure. To find the solution, we use the generalized Kantorovich method applied to the analysis of the corresponding boundary-value problem. The complete structure of branching is presented for the solutions of the problem. We establish the existence of branches of the solution both with forms of deformation and joint deformation of the layers and with forms of deformation and separate deformation of the layers in the delamination region.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3606-y