Topic
Spherical shell
About: Spherical shell is a research topic. Over the lifetime, 5572 publications have been published within this topic receiving 71807 citations.
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TL;DR: Here it is documented how an existing code for modelling mantle convection in a cartesian domain, Stag3D, has been converted to model a 3D spherical shell by using the recently introduced yin-yang grid, which can dramatically improve the robustness of the iterations to large viscosity variations.
313 citations
TL;DR: In this paper, the low-lying even-parity spectrum of 16O and 17O is described by mixing the usual states in the spherical shell model with deformed states obtained by exciting particles out of a deformed core.
307 citations
Book•
07 Aug 2018
TL;DR: In this paper, the plate equations were derived from 3D elasticity by formal expansion from three-dimensional elasticity, and a calculus of variations was used to describe the geometrical rigidity of surfaces.
Abstract: 1. Introduction 2. Three-dimensional elasticity I: RODS 3. Equations for elastic rods 4. Mechanics of the human hair 5. Rippled leaves, uncoiled springs II: PLATES 6. The equations for elastic plates 7. End effects in plate buckling 8. Finite amplitude buckling of a strip 9. Crumpled paper 10. Fractal buckling near edges III: SHELLS 11. Geometric rigidity of surfaces 12. Shells of revolution 13. The elastic torus 14. Spherical shell pushed by a wall Appendix A: Calculus of variations: a worked example Appendix B: Boundary and interior layers Appendix C: The geometry of helices Appendix D: Derivation of the plate equations by formal expansion from 3D elasticity
286 citations
01 Jan 1973
TL;DR: In this article, a generalization of a boundary condition adopted by Beavers and Joseph, for plane boundaries, is proposed for curved surfaces, and the problem of slow viscous flow past a spherical shell is solved.
Abstract: This paper is concerned with the flow of viscous fluids around and through porous bodies. Previous boundary conditions that have been used are discussed and a generalization of a boundary condition adopted by Beavers and Joseph, for plane boundaries, is proposed for curved surfaces. Using this condition the problem of slow viscous flow past a spherical shell is solved and several special limiting cases are considered.
274 citations