Exact solutions for plastic responses of orthotropic strain-hardening rotating hollow cylinders |
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| Authors: | S.-Y. Leu H.-C. Hsu |
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| Affiliation: | 1. Department of Applied Physics, Materials Innovation Institute, University of Groningen, Nijenborgh 4, 9747AG Groningen, The Netherlands;2. Philips, The Netherlands;3. Department of Applied Physics, Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, 9747AG Groningen, The Netherlands;1. Université de Technologie de Troyes, France;2. Université Pierre et Marie Curie, France;1. School of Engineering and Applied Science, University of Virginia, Charlottesville, VA 22904, USA;2. Department of Mechanical Engineering, Dublin City University, Glasnevin, Dublin D09 W6Y4, Ireland;3. School of Mathematics, Statistics, and Applied Mathematics, National University of Ireland Galway, University Road, Galway, Ireland |
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| Abstract: | This paper presents exact solutions for plastic responses of plastically orthotropic strain-hardening rotating hollow cylinders. Hill’s yield criterion and the Voce hardening law were adopted. The concept of sequential limit analysis was employed to deal with the strain-hardening behavior by updating the yield criterion and the deformed configuration sequentially. First, exact solutions of the plastic angular velocity were acquired by solving both static and kinematic limit analysis problems. The existence of closed-form exact solutions for some cases was also illustrated. Moreover, the global hardening behavior was analytically evaluated. The corresponding distributions of plastic stress components and equivalent plastic strain were also developed. Second, the elastic–plastic capability of the commercial finite-element code ABAQUS was employed for rigorous validations of analytical solutions. Finally, good agreement is observed between analytical solutions and numerical results. |
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