Tangential differential calculusThe Kirchhoff-Love shell theory is recasted in the frame of the tangential differential calculus where differential operators on surfaces are formulated without the need for a parametrization, i.e., local coordinates. The governing equations are presented in strong and ...
As a consequence, there is no needfor a parametrization of the shell geometry implying curvilinear surface coordinates as used in the classical shell theory.Therefore, the proposed TDC-based formulation also applies to shell geometries which are zero-isosurfaces as in the level-setmethod where no ...
The Kirchhoff–Love shell theory is recasted in the frame of the tangential differential calculus (TDC) where differential operators on surfaces are formulated based on global, three-dimensional coordinates. As a consequence, there is no need for a parametrization of the shell geometry implying curvi...
The Kirchhoff-Love shell theory is recasted in the frame of the tangential differential calculus where differential operators on surfaces are formulated without the need for a parametrization, i.e., local coordinates. The governing equations are presented in strong and weak form including a detailed...
Addressing these limitations, isogeometric analysis based on rTBS can provide Cl continuity over the mesh including element interfaces, a necessary condition in finite elements formulation of Kirchhoff-Love shell theory. Based on this technology, we use Cr smooth rational triangular Bezier spline as the...
"On the boundary conditions of the geometrically nonlinear Kirchhoff-Love shell theory". In: International Journal of Solids and Structures 51.18 (2014), pp. 3101-3112.V. Ivannikov, C. Tiago, P.M. Pimenta, Meshless implementation of the geometrically exact Kirchhoff-Love shell theory, ...
The continuum formulation uses an anisotropic hyperelastic material model in the framework of the geometrically exact Kirchhoff-Love shell theory and isogeometric finite elements. For the comparison, the nonlinear response of a square graphene ... A Mokhalingam,R Ghaffari,RA Sauer,... - 《Carbon》...
Pimenta, Meshless implementation of the geometrically exact Kirchhoff-Love shell theory, International Journal for Numerical Methods in Engineering 100 (1) (2014) 1-39.Ivannikov, V., Tiago, C., Pimenta, P.M.: Meshless implementation of the geometrically exact Kirchhoff–Love shell theory. Int....
The models in [3, 4], based on the Reissner–Mindlin theory, are, however, without the plane-stress assumption, in the finite element context. 1.2 Accounting for the out-of-plane normal stress: summary The isogeometric Kirchhoff–Love shell models have the advantage of not requiring rotational...
(DWR) method is provided for the isogeometric Kirchhoff–Love shell using the membrane and flexural strain split. However, it can be used for general elasticity problems. Moreover, the section provides the DWR method for eigenvalue problems to compute error estimators for modal and buckling ...