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A mechanical model and numerical method for the simultaneous analysis of Reissner–Mindlin shells with geometries implied by a continuous set of level sets (isosurfaces) over some three‐dimensional bulk domain is presented. A three‐dimensional mesh in the bulk domain is used in a tailored FEM formulation where the elements are by no means conforming to the level sets representing the shape of the individual...
We formulate a mechanical model in the context of the finite strain theory for implicitly defined ropes and membranes, which applies simultaneously to all level sets of a level‐set function over a bulk domain. Further, a numerical method to solve this model is introduced. Tangential operators, which occur in the geometrically non‐linear model, are defined in the framework of the tangential differential...
Linear Kirchhoff beams, also known as curved Euler‐Bernoulli beams, are reformulated using tangential differential calculus (TDC). The model is formulated in a two dimensional Cartesian coordinate system. Isogeometric analysis (IGA) is employed, hence, NURBS are used for the geometry definition and generation of sufficiently smooth shape functions. Dirichlet boundary conditions are enforced weakly...
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