Collocation method for elastoplastic analysis of a pressurized functionally graded tube. (English) Zbl 1327.74142
Summary: An approach, the radial basis function (RBF) collocation method, is used to obtain numerical solution of both elastic and elastoplastic problem of a pressurized functionally graded tube. RBF is a meshless technique that does not require discretization into elements as is usually done in the finite element method. The implementation of the scheme is achieved with the aid of MATHEMATICA commercial software. The use of the RBF eliminates the need for the hypergeometric function, which has the disadvantage of converging slowly in addition to its complexity. Numerical example for utilizing this scheme is used to show its efficiency and reliability. Excellent agreement with the available literature analytical result is achieved.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
Keywords:
elastoplastic stress analysis; functionally graded material; pressurized tube; radial basis function collocation; meshless methodSoftware:
MathematicaReferences:
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