Zone estimates in the elastic-plastic torsion problem
نویسندگان
چکیده
منابع مشابه
The elastic-plastic torsion problem: a posteriori error estimates for approximate solutions
We consider the variational inequality, which describes the torsion problem for a long elasto-plastic bar. Using duality methods of the variational calculus, we derive a posteriori estimates of functional type that provide computable and guaranteed upper bounds of the energy norm of the difference between the exact solution and any function from the corresponding energy space that satisfies the...
متن کاملAn 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...
متن کاملThe Elastic Torsion Problem: Solutions in Convex Domains
The torsion function of a plane domain is a function which is zero on the boundary of the domain and whose Laplacian is minus one at every point in the interior of the domain. We survey qualitative properties of the torsion function, and bounds on it and its derivatives, available when the plane domain is convex.
متن کاملMathematica, Packs for Mechanical Engineers – and the elastic torsion problem
Mathematica does nearly all the ordinary engineering mathematics which working engineers need. Mathematica has always done more than Computer Algebra (CA). Numerics, graphics, and user-interface matters have been smoothly integrated with the CA. Mathematica 3 adds mathematical word processing and hyperlinks. This opens the way to truly impressive, useful ‘electronic books’, ‘interactive enginee...
متن کاملMechanically Equivalent Elastic-plastic Deformations and the Problem of Plastic Spin *
The problem of plastic spin is phrased in terms of a notion of mechanical equivalence among local intermediate configurations of an elastic/plastic crystalline solid. This idea is used to show that, without further qualification, the plastic spin may be suppressed at the constitutive level. However, the spin is closely tied to an underlying undistorted crystal lattice which, once specified, eli...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1977
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/462082