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2 2015

2 Śloderbach Z.

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Derivation of relations and analysis of tube bending processes using discontinuous fields of plastic strains. Part II. Discussion and analysis of the obtained results

100%

Śloderbach Z.

International Journal of Applied Mechanics and Engineering

2015

tom Vol. 20, no. 2

427--435

This paper presents the calculation results obtained on the basis of three formal simplifications (derived in Part I) gradually led into the main components of the generalized model of strain where suitable simplifications of the 1st, 2nd and 3rd type have been obtained. The paper also presents the results of considerations on the wall thickness distribution in the vertex point of the elongated layers of the bent elbow, and values of main components of the strain state and intensity of the strain (equivalent strain) depending on the bending angle for the generalized strain scheme and three simplified methods. The results are shown in the form of graphs and table.

Determination of the initial thickness of tubes subjected to bending. Part II. Discussion and analysis of obtained results

84%

Śloderbach Z.

Engineering Transactions

2015

tom Vol. 63, iss. 4

497--507

In this second part of the paper, applying epressions derived in Part I, the exemplary calculations of the initial thickness of a metallic tube subject to bending at bending machines are presented. The expressions for calculating of the initial thickness were presented for a suitable measure of the big actual radius Ri in the bending zone for an exact (general) solution and for three formal simplifications of the 1st, 2nd, and 3rd order. In the calculations the external or internal diameter of the tube subjected to bending is applied as a parameter. In this paper, the author shows that the calculated initial thickness of the tube (for the same parameters of bending) depending on the external diameter is lower than that calculated depending on the internal diameter. For example, the expression for calculation of deformations included in the UE Directive [1], contains dependence on dext not on dint. The results of the calculations are presented in the graphs and tables enclosed.