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dc.contributor.authorYang, J. P.en_US
dc.contributor.authorSu, W. T.en_US
dc.date.accessioned2017-04-21T06:56:20Z-
dc.date.available2017-04-21T06:56:20Z-
dc.date.issued2016-12en_US
dc.identifier.issn0253-4827en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s10483-016-2149-8en_US
dc.identifier.urihttp://hdl.handle.net/11536/132771-
dc.description.abstractIn this paper, we present a strong-form framework for solving the boundary value problems with geometric nonlinearity, in which an incremental theory is developed for the problem based on the Newton-Raphson scheme. Conventionally, the finite element methods (FEMs) or weak-form based meshfree methods have often been adopted to solve geometric nonlinear problems. However, issues, such as the mesh dependency, the numerical integration, and the boundary imposition, make these approaches computationally inefficient. Recently, strong-form collocation methods have been called on to solve the boundary value problems. The feasibility of the collocation method with the nodal discretization such as the radial basis collocation method (RBCM) motivates the present study. Due to the limited application to the nonlinear analysis in a strong form, we formulate the equation of equilibrium, along with the boundary conditions, in an incremental-iterative sense using the RBCM. The efficacy of the proposed framework is numerically demonstrated with the solution of two benchmark problems involving the geometric nonlinearity. Compared with the conventional weak-form formulation, the proposed framework is advantageous as no quadrature rule is needed in constructing the governing equation, and no mesh limitation exists with the deformed geometry in the incremental-iterative process.en_US
dc.language.isoen_USen_US
dc.subjectgeometric nonlinearityen_US
dc.subjectincremental-iterative algorithmen_US
dc.subjectradial basis collocation method (RBCM)en_US
dc.subjectstrong formen_US
dc.titleStrong-form framework for solving boundary value problems with geometric nonlinearityen_US
dc.identifier.doi10.1007/s10483-016-2149-8en_US
dc.identifier.journalAPPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITIONen_US
dc.citation.volume37en_US
dc.citation.issue12en_US
dc.citation.spage1707en_US
dc.citation.epage1720en_US
dc.contributor.department土木工程學系zh_TW
dc.contributor.departmentDepartment of Civil Engineeringen_US
dc.identifier.wosnumberWOS:000389200900009en_US
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