The paper presents the derived equations for calculations of the initial wall thickness g0 of a tube bent to elbow. The expressions for calculating g0 are presented in a suitable measure of the “great active actual radius Rj” in the bending zone for an exact-generalized solution (continuous fields) and for three formal simplifications (discontinuous fields) of the first-, second-, and third-orders. The expressions to calculate the components of deformation for a generalized solution (continuous fields) are obtained on the basis of kinematically admissible fields of plastic deformations. In any case, a value of initial tube thickness depends on the radius and on the angle of bending αb on the external diameter of the tube, on the displacement of the neutral axis, and on the allowable (required) elbow thickness according to European, American, or other national technical standard or regulations. The initial thickness also depends on the coordinates of the point where the allowable thickness was determined and on the technological–material coefficient of the bending zone range k (defined during the tests). The obtained calculation results are presented in the form of graphs and in table.
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January 2017
Research-Article
Application of the Continuous and Discontinuous Fields of Plastic Deformations to the Evaluation of the Initial Thickness of Bent Tubes
Zdzisław Śloderbach
Zdzisław Śloderbach
Department of Applications of
Chemistry and Mechanics,
Opole University of Technology,
Opole 45-758, Poland
e-mail: z.sloderbach@po.opole.pl
Chemistry and Mechanics,
Opole University of Technology,
Opole 45-758, Poland
e-mail: z.sloderbach@po.opole.pl
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Zdzisław Śloderbach
Department of Applications of
Chemistry and Mechanics,
Opole University of Technology,
Opole 45-758, Poland
e-mail: z.sloderbach@po.opole.pl
Chemistry and Mechanics,
Opole University of Technology,
Opole 45-758, Poland
e-mail: z.sloderbach@po.opole.pl
Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received April 27, 2016; final manuscript received September 28, 2016; published online November 7, 2016. Assoc. Editor: Curt Bronkhorst.
J. Eng. Mater. Technol. Jan 2017, 139(1): 011009 (10 pages)
Published Online: November 7, 2016
Article history
Received:
April 27, 2016
Revised:
September 28, 2016
Citation
Śloderbach, Z. (November 7, 2016). "Application of the Continuous and Discontinuous Fields of Plastic Deformations to the Evaluation of the Initial Thickness of Bent Tubes." ASME. J. Eng. Mater. Technol. January 2017; 139(1): 011009. https://doi.org/10.1115/1.4034944
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