Nonlinear deformation of shells with finite angles of rotation and low elastoplastic strains. (English. Russian original) Zbl 1331.74115
Int. Appl. Mech. 51, No. 2, 149-158 (2015); translation from Prikl. Mekh., Kiev 51, No. 2, 34-44 (2015).
Summary: An incremental approach to the statement and solution of the problem of the nonlinear deformation of shells under loads that cause buckling and strong bending in the plastic range is developed. The relations between strains and displacements for great angles of rotation are used. A system of differential equations for the rates of the unknown functions is derived and represented in Cauchy operator form. To solve the boundary-value problem, the discrete-orthogonalization method is used assuming that the unknown functions and the loads are equivalent. The problem of the buckling and postbuckling behavior of a long D16T-alloy shell with a local initial deflection is solved as an example.
MSC:
| 74K25 | Shells |
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74A10 | Stress |
| 74G60 | Bifurcation and buckling |
Keywords:
nonlinear deformation of shell; buckling; postbuckling behavior; strong bending in plastic range; wide angles of rotation; discrete-orthogonalization methodReferences:
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