Journal ArticleDOI
Plastic Stability Theory of Thin Shells
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Ai = plasticity coefficients B = axial rigidity, B = Est/(1 v ) D = bending rigidity D = Est /12(1 v), also diameter ei = strain intensity E = modulus of elasticity E ǫ = secant modulus Et = tangent modulus k = buckling coefficient, k = <rtL/irD L − length of cylinder m − number of longitudinal half wave lengths M = bending moment per unit width n = number of circumferential wave lengths N = external pressure R = radius t - thickness uAbstract:
Ai = plasticity coefficients B = axial rigidity, B = Est/(1 v ) D = bending rigidity, D = Est /12(1 v), also diameter ei = strain intensity E = modulus of elasticity E„ = secant modulus Et = tangent modulus k = buckling coefficient, k = <rtL/irD L — length of cylinder m — number of longitudinal half wave lengths M = bending moment per unit width n = number of circumferential wave lengths N = loading per unit width p = external pressure R = radius t — thickness u, v, w = displacements x, y, z = coordinates Z = cylinder curvature parameter, Z = (L/Rt) (1 -vY = (3/o-t) (1 Et/Es) (3 = wave-length parameter 7 = shear strain e = axial strain 7] = plasticity reduction factor v = Poisson's ratio ve = elastic value of Poisson's ratio, ve — 0.3 a = axial stress ai = stress intensity r = shear stress curvature differential operator V4 = (d/dx + b/dy)read more
Citations
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On Some Properties of Interval Matrices
TL;DR: By using a new set of arithmetic operations on interval numbers, some arithmetic properties of interval matrices are discussed which intern helps to compute the powers of intervals matrices and to solve the system of interval linear equations.
Journal ArticleDOI
Local Buckling of Aluminum Alloy Angles under Uniform Compression
Federico M. Mazzolani,Federico M. Mazzolani,Vincenzo Piluso,Vincenzo Piluso,Gianvittorio Rizzano,Gianvittorio Rizzano +5 more
TL;DR: In this paper, the authors evaluated the relationship between the strain corresponding to the complete development of local buckling and the slenderness parameters of the plate elements composing the section and proposed a classification criterion accounting for the interaction between the two slenderness parameter of the cross-section.
Journal ArticleDOI
A general theory of elastic and inelastic plate failure—II
TL;DR: In this article, it was shown that the bifurcation stress depends markedly on the local yield surface normal, variations of 15% being quite typical within (for example) the "fan" of possible normals at a Tresca singular point.
Journal ArticleDOI
An improved formulation for the assessment of the capacity load of circular rings and cylindrical shells under external pressure. Part 1. Analytical derivation
TL;DR: In this article, the capacity load of circular rings under external pressure is investigated assuming as a starting point the classic Levy-Timoshenko approach, which is still at the bases of most design codes for cylindrical shells.
Journal ArticleDOI
Mechanical Strength of Transformer Windings under Short-Circuit Conditions
TL;DR: In this paper, the authors have developed a new short-circuit testing method and have proved the method to be an effective means of finding the shortcircuit strength of transformer windings.
References
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Book
The mathematical theory of plasticity
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Stability of Thin-Walled Tubes Under Torsion
TL;DR: In this article, a theoretical solution for the torsion on a round thin-walled tube for which the walls become unstable is presented, and the results of this theory are given by a few simple formulas and curves.