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Duncan Joyce, William J. Parnell, Raphaël C. Assier, I. David Abrahams

Published 10 May 2017.DOI: 10.1098/rspa.2017.0080

Duncan Joyce

School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK

William J. Parnell

School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK

Raphaël C. Assier

School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK

I. David Abrahams

Isaac Newton Institute, University of Cambridge, 20 Clarkson Road, Cambridge CB3 0EH, UK

An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems

Duncan Joyce, William J. Parnell, Raphaël C. Assier, I. David Abrahams

Proc. R. Soc. A 2017 473 20170080; DOI: 10.1098/rspa.2017.0080. Published 10 May 2017

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Duncan Joyce, William J. Parnell, Raphaël C. Assier, I. David Abrahams

Proc. R. Soc. A 2017 473 20170080; DOI: 10.1098/rspa.2017.0080. Published 10 May 2017

- Article
- Abstract
- 1. Introduction
- 2. Governing equations
- 3. The integral equation method
- 4. Determining explicit forms for the effective properties
- 5. Results
- 6. Conclusion
- Data accessibility
- Competing interests
- Funding
- Authors' contributions
- Appendix A. Two-dimensional expansion for
*J*_{δξ} - Appendix B. Lattice sums
- Appendix C. Justifying the form of expansion for centrally symmetric shapes
- References

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