7.5Kirchhoff-Loveshell InthissectionwepresenttheisogeometricKirchhoff-Lovethinshellelementsforbothgeomet- ricallylinearandnonlinearcases. 7.5.1Shellkinematics Themidsurfaceinthereferenceconfigurationisparametrisedasfollows ¯x=¯x(ξ 1 ,ξ 2 )(105) where(ξ 1 ,ξ 2 )denotetheparametriccoordinates.Th...
Discrete Kirchhoff–Love shell quadrilateral finite elementCubic Hermite curveBilinear Coons patchG 1 -continuityWe present a nonlinear discrete Kirchhoff鈥揕ove four-node shell finite element that is based on the cubic Hermite edge curves and the bilinear Coons surface patch spanning the surface ...
(2020). Kirchhoff-Love Shell. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55771-6_300362 Download citation .RIS .ENW .BIB DOIhttps://doi.org/10.1007/978-3-662-55771-6_300362 Published25 ...
A thin shell formulation is developed for the approximation by a meshfree Reproducing Kernel Particle Method (RKPM). The formulation is derived from a degenerated shell approach where the structure is treated as a 3D solid subjected to kinematic constraints of the Kirchhoff–Love (KL) shell theory...
在等几何分析中,常用的消除闭锁的方法包括:(1)基于hellinger-reissner两场变分的混合壳单元(r.echter,b.oesterle,m.bischoff,ahierarchicfamilyofisogeometricshellfiniteelements,computermethodsinappliedmechanicsandengineering,2013,254:170-180);(2)基于局部应变插值的b-bar方法(l.greco,m.cuomo,l.contrafatto,are...
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 parametrization is av...
A second gradient theory for woven fabrics is applied to Kirchhoff-Love shell elements to analyze the mechanics of fiber reinforced composite materials. In particular, we assume a continuous distribution of the fibers embedded into the shell surface, accounting for additional in-plane flexural resistanc...
This section suggests a novel framework for numerical approximation of the shell equations, based on a discontinuous polynomial approximation of the unknown field φ. Indeed, under the Kirchhoff–Love assumption, the unit vector t can be stated in terms of φ, see [34] for details. In the new...
The displacement vector of a linearly elastic shell can be computed by using the twodimensional Koiter's model, based on the a priori Kirchhoff-Love assumptions. These hypotheses imply that the displacement of any point of the shell is an affine function of the transverse variable x 3 . The ...
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...