Elastic-plastic torsion of circular ring sectors
نویسندگان
چکیده
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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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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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1956
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/81700