Elastoplastic torsion by quadratic programming
نویسندگان
چکیده
منابع مشابه
Elastoplastic Torsion by Quadratic Programming
A fItrite element scheme (together with a conjugate gradient algorithmj is demonstrated to be a very effective method for analyzing general elastoplastic torsion of prismatic bars posed as quadratic programming problems. Solutions for bars with elliptical and Sokolovsky’s oval cross-sections are presented. The solutions for the elliptical bars agree with the existing elastic and limit plastic s...
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stresses in the rod. If the force we apply is small enough, the rod behaves as an elastic body: when we release it, it will return to its original state. But if we apply a lot of twisting force, we will eventually change the rod’s structure: some portion of it will behave plastically and will be permanently changed. If the whole rod behaves elastically, or if it all behaves plastically, then mo...
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In many cases, a torsional shaft may be a thick-walled radially inhomogeneous cylindrical object. The hollow shafts made of functionally graded materials (FGMs) are such kind of compositions which were studied in this paper. Cylindrical FG shafts are composed of ceramic and metallic parts with power function distribution across the radial direction. The ceramic phase is isotropic elastic and th...
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in many cases, a torsional shaft may be a thick-walled radially inhomogeneous cylindrical object. the hollow shafts made of functionally graded materials (fgms) are such kind of compositions which were studied in this paper. cylindrical fg shafts are composed of ceramic and metallic parts with power function distribution across the radial direction. the ceramic phase is isotropic elastic and th...
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A quadratic function q on an Abelian groupG is a map, with values in an Abelian group, such that the map b : (x, y) 7→ q(x + y) − q(x) − q(y) is Z-bilinear. Such a map q satisfies q(0) = 0. If, in addition, q satisfies the relation q(nx) = nq(x) for all n ∈ Z and x ∈ G, then q is homogeneous. In general, a quadratic function cannot be recovered from the associated bilinear pairing b. Homogeneou...
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 1978
ISSN: 0045-7825
DOI: 10.1016/0045-7825(78)90107-x