Lateral buckling of tapered thin walled bi-symmetric beams under combined axial and bending loads with shear deformations allowed

2018 ◽  
Vol 165 ◽  
pp. 76-87 ◽  
Author(s):  
Amine Osmani ◽  
Sid Ahmed Meftah
Keyword(s):  
Shear Deformations ◽  
Lateral Buckling ◽  
Bending Loads ◽  
Thin Walled

Torsional and Flexural Buckling of Bars of Thin-Walled Open Section Under Compressive and Bending Loads

1942 ◽  
Vol 9 (3) ◽  
pp. A103-A107 ◽  
Author(s):  
J. N. Goodier
Keyword(s):  
Lateral Buckling ◽  
Flexural Buckling ◽  
Open Section ◽  
Bending Loads ◽  
Thin Walled ◽  
General Section ◽  
Observed Behavior

Abstract The observed behavior of torsionally weak columns in buckling by twisting rather than, or as well as, bending is analyzed in this paper on the basis of a hypothesis due to Wagner. The theory is simplified, and extended to the general section, where results simpler than some already obtained by Kappus are given. It is further extended to bars, restrained by flexible sheets, and bars with constrained axes of rotation. Wagner’s hypothesis is applied to the problem of lateral buckling, where it yields the accepted theory for symmetrical sections, but indicates results of novel form for unsymmetrical cases. Similar results are obtained in the problem of eccentric thrust, whatever the section.

Lateral buckling of thin-walled beam-column elements under combined axial and bending loads

2008 ◽  
Vol 46 (3) ◽  
pp. 290-302 ◽  
Author(s):  
Foudil Mohri ◽  
Cherif Bouzerira ◽  
Michel Potier-Ferry
Keyword(s):  
Lateral Buckling ◽  
Bending Loads ◽  
Thin Walled

scholarly journals On incorporating warping effects due to transverse shear and torsion into the theories of straight elastic bars

2020 ◽  
Author(s):  
T. Lewiński ◽  
S. Czarnecki
Keyword(s):  
Cross Sections ◽  
Transverse Shear ◽  
Explicit Construction ◽  
Effective Characteristics ◽  
Warping Function ◽  
Torsional Buckling ◽  
Lateral Buckling ◽  
First Order ◽  
Thin Walled ◽  
Scientific Tool

Abstract By endowing El Fatmi’s theories of bars with first-order warping functions due to torsion and shear, a family of theories of bars, of various applicability ranges, is effectively constructed. The theories thus formed concern bars of arbitrary cross-sections; they are reformulations of the mentioned theories by El Fatmi and theories by Kim and Kim, Librescu and Song, Vlasov and Timoshenko. The Vlasov-like theory thus developed is capable of describing the torsional buckling and lateral buckling phenomena of bars of both solid and thin-walled cross-sections, which reflects the non-trivial correspondence, noted by Wagner and Gruttmann, between the torsional St.Venant’s warping function and the contour-wise defined warping functions proposed by Vlasov. Moreover, the present paper delivers an explicit construction of the constitutive equations of Timoshenko’s theory; the equations linking transverse forces with the measures of transverse shear turn out to be coupled for all bars of asymmetric cross-sections. The modeling is hierarchical: the warping functions are numerically constructed by solving the three underlying 2D scalar elliptic problems, providing the effective characteristics for the 1D models of bars. The 2D and 1D problems are indissolubly bonded, thus forming a unified scientific tool, deeply rooted in the hitherto existing knowledge on elasticity of elastic straight bars.

Finite Element Analyses of Circumferential Cracks in Thin-Walled Cylinders: T-Stress Solutions

2006 ◽  
Author(s):  
Timothy Lewis ◽  
Xin Wang ◽  
Robert Bell
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Fracture Analysis ◽  
Finite Element Analyses ◽  
The Finite Element Method ◽  
T Stress ◽  
Bending Loads ◽  
Pipe Radius ◽  
Thin Walled

The elastic T-stress is a parameter used to define the level of constraint at a crack tip. It is important to provide T-stress solutions for practical geometries in order to apply the constraint-based fracture mechanics methodology. In the present paper, T-stress solutions are provided for circumferential through-wall cracks in thin-walled cylinders. Cylinders with a circumferential through-wall crack were analyzed using the finite element method. Three cylinder geometries were considered; defined by the pipe radius (R) to wall thickness (t) ratios: R/t = 5, 10, and 20. The T-stress was obtained at eight crack lengths (θ/π = 0.0625, 0.1250, 0.1875, 0.2500, 0.3125, 0.3750, 0.4375, and 0.5000) for remote tension and remote bending loads. These results are suitable for constraint-based fracture analysis for cylinders with circumferential cracks.

Development of device for extrusion of metal-ceramic plates

2020 ◽  
pp. 212-217
Author(s):  
S.M. Vaytsekhovich ◽  
A.I. Kuzin ◽  
A.Yu. Zhuravlev
Keyword(s):  
Ceramic Powder ◽  
Powder Materials ◽  
Ceramic Powders ◽  
Lateral Shear ◽  
Special Equipment ◽  
Shear Deformations ◽  
Metal Ceramic ◽  
Thin Walled ◽  
Original Device

The article is devoted to the issues of production of thin-walled plates from metal-ceramic powders, including the development of special equipment for extrusion of nanoscale powder materials exposed to subsequent sintering. The original device is proposed for production by direct extrusion of thin-walled plates from metal-ceramic powder blend by the radial expansion upsetting method, which improves the quality of the parts structure through the formation of additional lateral shear deformations on the contact of the workpiece with the walls of the rectangular die.

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