Correction Formulae for the Stress Distribution in Round Tensile Specimens at Neck Presence

Nonfiction, Science & Nature, Science, Physics, Mechanics, Computers, Advanced Computing, Computer Science, Technology
Cover of the book Correction Formulae for the Stress Distribution in Round Tensile Specimens at Neck Presence by Magdalena Gromada, Gennady Mishuris, Andreas Öchsner, Springer Berlin Heidelberg
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Author: Magdalena Gromada, Gennady Mishuris, Andreas Öchsner ISBN: 9783642221347
Publisher: Springer Berlin Heidelberg Publication: August 13, 2011
Imprint: Springer Language: English
Author: Magdalena Gromada, Gennady Mishuris, Andreas Öchsner
ISBN: 9783642221347
Publisher: Springer Berlin Heidelberg
Publication: August 13, 2011
Imprint: Springer
Language: English

The monograph deals with methods to determine mechanical properties and evaluate the flow curve of ductile materials from the tensile test. It presents classical hypotheses concerning the onset of neck creation as well as the state of the art in determining the mechanical properties from the tensile test, with emphasis on the consequences of the neck formation. It revises derivations of formulae for the stress distribution in the minimal cross-section of the axisymmetrical specimen in the classical approaches proposed by Bridgman, Davidenkov / Spiridonova and Siebel as well as in the less famous formulae derived by Szczepinski and Malinin / Petrosjan. The revision is completed with solutions evaluated by the authors. In the monograph, the simplifying assumptions utilised in the classical approaches were carefully verified by numerical simulations accompanied by theoretical analysis. Errors imposed in the evaluation of the average axial stress acting on the minimal cross-section as a result of every particular simplification are estimated. The accuracy of all formulae to evaluate the flow curve is discussed. The significance of a high accurate determination can be seen in the context of numerical simulation (e.g. finite element computations), where the total error and accuracy is partly based on the accuracy of the material input.

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The monograph deals with methods to determine mechanical properties and evaluate the flow curve of ductile materials from the tensile test. It presents classical hypotheses concerning the onset of neck creation as well as the state of the art in determining the mechanical properties from the tensile test, with emphasis on the consequences of the neck formation. It revises derivations of formulae for the stress distribution in the minimal cross-section of the axisymmetrical specimen in the classical approaches proposed by Bridgman, Davidenkov / Spiridonova and Siebel as well as in the less famous formulae derived by Szczepinski and Malinin / Petrosjan. The revision is completed with solutions evaluated by the authors. In the monograph, the simplifying assumptions utilised in the classical approaches were carefully verified by numerical simulations accompanied by theoretical analysis. Errors imposed in the evaluation of the average axial stress acting on the minimal cross-section as a result of every particular simplification are estimated. The accuracy of all formulae to evaluate the flow curve is discussed. The significance of a high accurate determination can be seen in the context of numerical simulation (e.g. finite element computations), where the total error and accuracy is partly based on the accuracy of the material input.

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