On an axially symmetric elastic-plastic torsion problem

1997 ◽  
Vol 18 (7) ◽  
pp. 707-720
Author(s):  
Yang Xiaoping ◽  
Zhou Shuzi ◽  
Li Guangyao
Keyword(s):  
Torsion Problem ◽  
Axially Symmetric ◽  
Elastic Plastic

scholarly journals Unloading in the elastic-plastic torsion problem

1981 ◽  
Vol 41 (2) ◽  
pp. 186-217 ◽  
Author(s):  
Luis A Caffarelli ◽  
Avner Friedman
Keyword(s):  
Torsion Problem ◽  
Elastic Plastic

Torsion and Flexure of Slender Solid Sections

1958 ◽  
Vol 25 (1) ◽  
pp. 115-121
Author(s):  
W. J. Carter
Keyword(s):  
Exact Solutions ◽  
Turbine Blades ◽  
Torsion Problem ◽  
Rectangular Section ◽  
Approximate Methods ◽  
Elastic Plastic ◽  
Shear Problem

Abstract The solution of the torsion problem for a slender rectangular section has been made previously by approximate methods based on the Prandtl membrane analogy. In this paper approximate methods are employed in the solution of both the torsion and flexural shear problem for slender sections having a variety of shapes, most of them being doubly symmetric. Solutions obtained in this manner are compared with exact solutions, when these are available, and otherwise with solutions obtained by relaxation. It is shown that approximate methods provide an adequate solution for elements such as compressor-turbine blades when pretwist and taper can be neglected. Some attention is given to the problem of elastic-plastic torsion and elastic-plastic flexural shear of slender sections.

On the elastic-plastic torsion problem

1977 ◽  
Vol 11 (4) ◽  
pp. 319-323 ◽  
Author(s):  
R. Rubinstein
Keyword(s):  
Torsion Problem ◽  
Elastic Plastic

On Numerical Comparisons in Elastic-Plastic Torsion

1968 ◽  
Vol 35 (3) ◽  
pp. 454-459 ◽  
Author(s):  
P. G. Hodge ◽  
C. T. Herakovich ◽  
R. B. Stout
Keyword(s):  
Numerical Methods ◽  
Torsion Problem ◽  
Elastic Plastic ◽  
Numerical Comparisons

Three numerical methods are presented for solving the elastic-plastic torsion problem; they are applied to some simple examples. The results are compared to each other and to other known solutions, both for accuracy and for ease of computation.

Elastic-Plastic Analysis of Thick-Walled Pressure Vessels With Sharp Discontinuities

1971 ◽  
Vol 93 (4) ◽  
pp. 1016-1020 ◽  
Author(s):  
P. K. Larsen ◽  
E. P. Popov
Keyword(s):  
Pressure Vessels ◽  
Layered System ◽  
Axially Symmetric ◽  
Shells Of Revolution ◽  
Elastic Plastic ◽  
Solid Of Revolution ◽  
Plastic Analysis ◽  
Isoparametric Finite Elements ◽  
Thick Shells ◽  
Flow Theory Of Plasticity

Application of special isoparametric finite elements is presented for the elastic-plastic analysis of shells of revolution. General isoparametric elements are selected which, in the form of a layered system, are capable of representing a solid of revolution. The customary Kirchhoff-Love hypothesis is not invoked and solutions therefore apply both to thin and thick shells of revolution. Sharp discontinuities in geometry, circumferential ribs and/or grooves, as well as cellular walls may be studied. A special feature is the development of an element permitting sliding at the element interfaces with or without friction. The illustrative examples include a pressure vessel with a circumferential crack in the wall thickness, and a circular plate consisting of two disks which can slide along their interface. The solutions are limited to axially symmetric problems. Flow theory of plasticity is used in the inelastic regions.

Study and analysis of meshfree methods in elastic-plastic torsion problem

2018 ◽  
Vol 5 (2) ◽  
pp. 5110-5116
Author(s):  
Radha Krishna Lal ◽  
Vikas Kumar Choubey ◽  
J.P. Dwivedi ◽  
Sudhanshu Sinha ◽  
S.P. Gond
Keyword(s):  
Meshfree Methods ◽  
Torsion Problem ◽  
Elastic Plastic
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