Gioia, G. and Ortiz, M. (1997) Two-Dimensional Structure of Dynamic Boundary Layers and Shear Bands in Thermoviscoplastic Solids. In: IUTAM Symposium on Nonlinear Analysis of Fracture. Solid Mechanics and its Applications. No.49. Springer Netherlands , Dordrecht, pp. 151-162. ISBN 9789401063791. https://resolver.caltech.edu/CaltechAUTHORS:20201023-182805542
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Abstract
Solids deforming at high rates often develop narrow layers of intense shearing. The realistic modeling of these problems requires consideration of large plastic deformations, rate sensitivity, hardening, heat convection and conduction, thermal softening and inertia effects. Fully nonlinear multidimensional solutions to problems of this nature are rare (see Wright and Walter, 1994, for a notable exception). However, the thinness of the shear layers of interest here makes possible certain approximations in the governing equations which facilitate the analytical characterization of the flow. The systematic use of these approximations results in a much simplified set of boundary layer equations which, in some cases, lend themselves to analytical treatment.
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| Additional Information: | © Springer Science+Business Media Dordrecht 1997. This work has been funded by the National Science Fundation through Brown University's Materials Research Group on "Micro-Mechanics of Failure Resistant Materials." We are grateful to Profs. A. J. Rosakis and G. Ravichandran of Caltech and Prof. M. Zhou of Georgia Tech for helpful discussions and suggestions and for granting us access to as yet unpublished experimental data. | |||||||||
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| Subject Keywords: | Boundary Layer, Shear Band, Impact Velocity, Plastic Work, Boundary Layer Equation | |||||||||
| Series Name: | Solid Mechanics and its Applications | |||||||||
| Issue or Number: | 49 | |||||||||
| DOI: | 10.1007/978-94-011-5642-4_15 | |||||||||
| Record Number: | CaltechAUTHORS:20201023-182805542 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20201023-182805542 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 106273 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Rebecca Minjarez | |||||||||
| Deposited On: | 29 Oct 2020 15:40 | |||||||||
| Last Modified: | 16 Nov 2021 18:52 |
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