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Derivation of a variational principle for plane strain elastic–plastic silk biopolymers

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Abstract

Silk biopolymers, such as spider silk and Bombyx mori silk, behave always elastic–plastically. An elastic–plastic model is adopted and a variational principle for the small strain, rate plasticity problem is established by semi-inverse method. A trial Lagrangian is constructed where an unknown function is included which can be identified step by step.

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Acknowledgments

This work is supported by Priority Academic Program Development of Jiangsu Higher Education Institutions) and National Natural Science Foundation of China under Grant No. 10972053.

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Authors and Affiliations

  1. National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, 199 Ren-ai Road, Suzhou, 215123, China

    J H He & F J Liu

  2. Nantong Cellulose Fibers Co., Ltd., 27 East Zhongxiu Road, Nantong, 226008, China

    J H Cao & L Zhang

Authors
  1. J H He
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  2. F J Liu
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  3. J H Cao
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  4. L Zhang
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Correspondence to J H He.

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He, J.H., Liu, F.J., Cao, J.H. et al. Derivation of a variational principle for plane strain elastic–plastic silk biopolymers. Indian J Phys 88, 31–33 (2014). https://doi.org/10.1007/s12648-013-0370-9

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  • DOI: https://doi.org/10.1007/s12648-013-0370-9

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