Local solution of the stress and strain fields in the necking section of cylindrical bars under uniaxial tension |
| |
| Authors: | Sharif Shahbeyk Davood Rahiminejad Nik Petrinic |
| |
| Institution: | 1. Department of Civil Engineering, Tarbiat Modares University, Jalal Ale Ahmad Highway, P.O. Box 14115, 143 Tehran, Iran;2. Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK;1. Department of Continuum Mechanics and Structural Analysis, University Carlos III of Madrid, Avda. de la Universidad, 30. 28911 Leganés, Madrid, Spain;2. Laboratoire d''Etudes des Microstructures et de Mécanique des Matériaux LEM3, UMR CNRS 7239, Université de Lorraine, Ile du Saulcy, 57045 Metz cedex 1, France;1. Steel Research Center, JFE Steel Corporation, 1 Kawasaki-cho, Chuo-ku, Chiba 260-0835, Japan;2. Yokohama National University, 79-1 Tokiwadai, Hodogaya-ku, Yokohama 240-8501, Japan;1. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;2. Materials Science and Technology Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA |
| |
| Abstract: | The problem of finding the stress and strain fields over the minimum cross section of necked cylindrical bars under uniaxial tensile load has been solved locally using a new fast numerical method. The scheme delivers both the accuracy of the finite element analysis and the applicability of simple closed-form analytical solutions. The required inputs are the distributions of curvature radii for both isostatic and material lines. It is numerically observed that the mathematical formulas available in the literature fail to adequately predict these distributions. Introducing the stress normalized strain-hardening rate as the most decisive parameter affecting the curvature radii, a database and interpolation technique have been developed in order to estimate the necessary information based on the results of the previously FE analyzed samples. Finally, a practical case has been solved and compared with the FE results. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
