منابع مشابه
Torsional Rigidity of Submanifolds with Controlled Geometry
We prove explicit upper and lower bounds for the torsional rigidity of extrinsic domains of submanifolds P with controlled radial mean curvature in ambient Riemannian manifolds N with a pole p and with sectional curvatures bounded from above and from below, respectively. These bounds are given in terms of the torsional rigidities of corresponding Schwarz symmetrizations of the domains in warped...
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We prove the existence and uniqueness up to translations of the solution to a Minkowski type problem for the torsional rigidity in the class of open bounded convex subsets of R n. For the existence part we apply the variational method introduced by Jerison in: Adv. Math. 122 (1996), pp. 262–279. Uniqueness follows from the Brunn–Minkowski inequality for the torsional rigidity and corresponding ...
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Flexural and torsional rigidities of actin filaments are important factors in cell motility and muscle contraction, where actin filaments serve as mechanical elements. The flexural rigidity has already been determined by directly observing the bending of individual filaments under a microscope, but measurement of the torsional rigidity has been relatively scarce and indirect, because torsion of...
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INTRODUCTION: The treatment of early onset scoliosis with posterior hook constructs and fusion is often complicated by the crankshaft phenomenon, which is the gradual increase in rotational deformity due to continued anterior growth in the presence of a solid posterior fusion. The combination of a posterior hook construct and an anterior fusion is considered the gold standard for prevention of ...
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A well-known problem in elasticity consists in placing two linearly elastic materials (of different shear moduli) in a given plane domain Ω, so as to maximize the torsional rigidity of the resulting rod; moreover, the proportion of these materials is prescribed. Such a problem may not have a classical solution as the optimal design may contain homogenization regions, where the two materials are...
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ژورنال
عنوان ژورنال: Transactions of the Japan Society of Mechanical Engineers Series A
سال: 2010
ISSN: 0387-5008,1884-8338
DOI: 10.1299/kikaia.76.458