منابع مشابه
Notes on Contact Topology
1 Plane Fields and Contact Structures 2 1.1 Euler Classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Classifying Vector Bundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Cobordism classes of framed links . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 Contact Struct...
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We draw connections between the field of contact topology and the study of Beltrami fields in hydrodynamics on Riemannian manifolds in dimension three. We demonstrate an equivalence between Reeb fields (vector fields which preserve a transverse nowhere-integrable plane field) up to scaling and rotational Beltrami fields on three-manifolds. Thus, we characterise Beltrami fields in a metric-indep...
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In this paper a general framework for topology optimization of structures in unilateral contact is developed. A linear elastic structure that is unilaterally constrained by rigid supports is considered. The supports are modeled by Signorini’s contact conditions which in turn are treated by the augmented Lagrangian approach as well as by a smooth approximation. The latter approximation must not ...
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Using a simple model we investigate how the flow field in a contact binary can alter its topology under the influence of Coriolis forces. In the case studied, closed streamlines form over a relatively large area. This result causes us to review critically the argument that all surface streamlines can meet in a stagnation point, leading to a constant Jacobi energy over the whole surface. A gener...
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This paper deals with the formulation of a necessary optimality condition for a topology optimization problem for an elastic contact problem with Tresca friction. In the paper a quasistatic contact model is considered, rather than a stationary one used in the literature. The functional approximating the normal contact stress is chosen as the shape functional. The aim of the topology optimizatio...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2020
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2020.v27.n4.a9