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- W2560631838 abstract "be used to solve the hierarchy of problems. With the corresponding fundamental solutions the BEM can consequently tions furnishes the well known sixth-order equations of van der Weeen [8]. Wright [7]). The hierarchical reduction of the twelfth-order integral equaelasticity equations (Lur’e [6]) than displacement-based models (Schwab &L differential equations gives a best approximation to the three-dimensional Hellinger-Reissner mixed variational principle. We show that the system of tial equations for the twelfth-order model are obtainedby application of the the hierarchy by using the tensors of Westphal Jr. et al. [5]. The differensystem of Mindlin and the fourth-order system of Kirchhoff are included in coefficients we obtain the sixth-order system of Reissner. The sixth-order of Kirchhoff. By means of the selection of particular values of two coupling sixth-order of Reissner [3]and Mindlin [4],and b) thesystem of fourth-order system furnishes corresponding systems of lower-order: a) the systems of ification means that the direct reduction from the twelfth-order equation isotropic materials (Poniatovskii [l],Reissner [Z]). The hierarchical spections of the twelfth-order plate bendingmodel for homogeneous transversely We obtain a hierarchical formulation for the differential and integral equa" @default.
- W2560631838 created "2016-12-16" @default.
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- W2560631838 date "2002-01-01" @default.
- W2560631838 modified "2023-09-23" @default.
- W2560631838 title "Hierarchical plate modelling by boundary" @default.
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