Solution of problems in the theory of shells by numerical-analysis methods

DOI10.1007/BF00890411zbMath0578.73075MaRDI QIDQ3700984

Yaroslav M. Grigorenko

Publication date: 1984

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

zbMATH Keywords

surveyvariational principlesfinite difference methodlinearizationintegral equation methodproblemsmethodvariation-difference methodmethod of R-functionslinear and geometrically nonlinear formulationsmethods based onof reduction to Cauchy problemparametric continuation of solutionreduction to one-dimensionalstatic shell-theory problemsstep method for nonlinear boundary value problems

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Membranes (74K15)

Related Items

Nonlinear problems of shell theory and their solution methods (review) ⋮ Quasistatic and dynamic instability of one-support cylindrical shells under gyroscopic and nonconservative forces ⋮ Numerical analysis of dynamical processes in inhomogeneous piezoceramic cylinders (review)

Cites Work

• Numerical Analysis of Equations of Thin Shells of Revolution
• Nonaxisymmetric deformation of flexible variable-thickness conical shells
• A Digital Computer Program for the General Axially Symmetric Thin-Shell Problem
• Numerical solution of nonaxisymmetrical problems in the nonlinear theory of laminated shells of revolution
• Analysis of curved thin-walled shells of revolution.
• On the solution of nonlinear boundary value problems of the theory of elasticity by a method of transformation to an initial value Cauchy problem
• Stabilization of unstable two-point boundary value problems.
• NUMERICAL ANALYSIS OF UNSYMMETRICAL BENDING OF SHELLS OF REVOLUTION
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