Fortunelli, A. and Ortiz, M. (2007) Constitutive model for plasticity in an amorphous polycarbonate. Physical Review E, 76 (4). Art. No. 041806. ISSN 1539-3755. doi:10.1103/PhysRevE.76.041806. https://resolver.caltech.edu/CaltechAUTHORS:FORpre07
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Abstract
A constitutive model for describing the mechanical response of an amorphous glassy polycarbonate is proposed. The model is based on an isotropic elastic phase surrounded by an SO(3) continuum of plastic phases onto which the elastic phase can collapse under strain. An approximate relaxed energy is developed for this model on the basis of physical considerations and extensive numerical testing, and it is shown that it corresponds to an ideal elastic-plastic behavior. Kinetic effects are introduced as rate-independent viscoplasticity, and a comparison with experimental data is presented, showing that the proposed model is able to capture the main features of the plastic behavior of amophous glassy polycarbonate.
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| Additional Information: | © 2007 The American Physical Society. (Received 29 May 2007; published 19 October 2007) A.F. wishes to thank Anna Pandolfi (Milano, Italy), Antonio De Simone (Trieste, Italy), and Claudio Geloni and Andrea Lazzeri (Pisa, Italy) for useful discussions, Sergio Conti (Duisburg, Germany) for enlightening discussions, and Matthew Fago (Los Angeles, USA) for numerical tests of the model. He also gratefully acknowledges financial support from Italian CNR in various forms, among which through its Short-Term Mobility Program. | ||||||
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| Subject Keywords: | elasticity; polymers; SO(3) groups; viscoplasticity; vitreous state | ||||||
| Issue or Number: | 4 | ||||||
| DOI: | 10.1103/PhysRevE.76.041806 | ||||||
| Record Number: | CaltechAUTHORS:FORpre07 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:FORpre07 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 9018 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 20 Oct 2007 | ||||||
| Last Modified: | 08 Nov 2021 20:55 |
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