منابع مشابه
An inverse coefficient problem related to elastic-plastic torsion of a circular cross-section bar
An inverse coefficient problem related to identification of the plasticity function g(η) from a given torque τ is studied for a circular section bar. Within the deformation theory of plasticity the mathematical model of torsion leads to the nonlinear Dirichlet problem −∇ · (g(|∇u|2)∇u) = 2φ, x ∈ Ω ⊂ R2; u(s) = 0, s ∈ ∂Ω . For determination of the unknown coefficient g(η) ∈ G, an integral of the...
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Pure bending experiments on prismatic bars of square cross-section composed of reticulated polymer foam exhibit deformation behavior not captured by classical elasticity theory. Perhaps the clearest example of this is the observed sigmoidal deformation of the bars’ lateral surfaces, which are predicted by classical elasticity theory to tilt but remain planar upon pure moment application. Such f...
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A solution is presented to a doubly mixed boundary value problem of the torsion of an elastic layer, partially resting on a rigid circular base by a circular rigid punch attached to its surface. This problem is reduced to a system of dual integral equations using the Boussinesq stress functions and the Hankel integral transforms. With the help of the Gegenbauer expansion formula of the Bessel f...
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Integrity of layered structures, extensively used in modern industry, strongly depends on the quality of their interfaces; poor adhesion or delamination can lead to a failure of the structure. Can nonlinear waves help us to control the quality of layered structures? In this paper, we numerically model the dynamics of a long longitudinal strain solitary wave in a split, symmetric layered bar. Th...
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Abstract. The traditional Fourier equation just allows us to study the evolution of temperature in an "undeformable" bar. The search for its relativistic variant is a task which is expected to fail because in relativity there are no undeformable bars. Rigid bodies, in the sense of "as rigid as possible", are deformables. In this work we show how to write in relativity the system of equations ne...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1966
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1966-0195316-5