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International Journal of Mechanics and Materials in Design

Erschienen in:

07.01.2020

Geometrically nonlinear analysis of functionally graded materials based on reproducing kernel particle method

verfasst von: Zheng Liu, Gaofeng Wei, Zhiming Wang

Erschienen in: International Journal of Mechanics and Materials in Design | Ausgabe 3/2020

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Abstract

Using the total Lagrange formulation, the reproducing kernel particle method (RKPM) for the geometrically nonlinear problem of the functionally graded materials (FGM) is proposed, and the corresponding formulae are derived. The displacement boundary condition is applied by the penalty method, and the numerical solution is solved by Newton–Raphson (N–R) iterative method. Furthermore, penalty factor, the control parameter of influence domain radius, loading step number and node distribution are discussed. Finally, the numerical examples illustrate that the RKPM for the geometrically nonlinear problem of the FGM is correct and effective.

Vorheriger Artikel Atomistic simulation of agglomeration of metal nanoparticles considering the induced charge density of surface atoms

Nächster Artikel Geometrically nonlinear analysis of 3D fluid actuated cellular structures using extended multiscale finite element method

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Titel: Geometrically nonlinear analysis of functionally graded materials based on reproducing kernel particle method
verfasst von: Zheng Liu
Gaofeng Wei
Zhiming Wang
Publikationsdatum: 07.01.2020
Verlag: Springer Netherlands
Erschienen in: International Journal of Mechanics and Materials in Design / Ausgabe 3/2020
Print ISSN: 1569-1713
Elektronische ISSN: 1573-8841
DOI: https://doi.org/10.1007/s10999-019-09484-8

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