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Abstract

Deformation of solids is described as wave dynamics. Dynamics in all stages of deformation from the elastic sage through fracture are formulated comprehensively based on a fundamental physical principle known as local symmetry. The field equations derived from the present formalism lead to longitudinal, compression wave solutions in the elastic regime, decaying transverse wave solutions in the plastic regime, and solitary wave solutions in the transitional stage from the elastic to plastic regime. The decay characteristic in the plastic wave reflects the irreversibility of plastic deformation. The solitary wave can be interpreted as representing the dynamic shear band known as the Lüders band or the type A Portevin–Le Chatelier band.

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References

  1. S. Yoshida, Deformation and Fracture of Solid-State Materials (Springer, New York, 2015)

    Book  Google Scholar 

  2. I.J.R. Aitchson, A.J.G. Hay, Gauge Theories in Particle Physics (IOP Publishing, Bristol/Philadelphia, 1989)

    Book  Google Scholar 

  3. H. Jin, C. Sciammarella, S. Yoshida, L. Lamberti, (Eds.) Comprehensive Theory of Deformation, SEM 2014 Annual Conference, June 2–5, 2014 Greenville, SC, To be published in H. Jin et al. (ed.), Advancement of Optical Methods in Experimental Mechanics, Conference Proceedings of the Society for Experimental Mechanics Series, vol. 3, Chapter 2, Springer (2014)

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  4. T. Suzuki, S. Takeuchi, H. Yoshinaga, Dislocation Dynamics and Plasticity, Springer Series in Material Science, vol. 12, Springer, Berlin (1991)

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  5. F. Mertens, S.V. Franklin, M. Marder, Dynamics of Plastic Deformation Fronts in an Aluminum Alloy. Phys. Rev. Lett. 78, 4502–4505 (1997)

    Article  Google Scholar 

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Correspondence to Sanichiro Yoshida .

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© 2016 The Society for Experimental Mechanics, Inc.

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Yoshida, S. (2016). Comprehensive Approach to Deformation Dynamics. In: Jin, H., Yoshida, S., Lamberti, L., Lin, MT. (eds) Advancement of Optical Methods in Experimental Mechanics, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-22446-6_1

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  • DOI: https://doi.org/10.1007/978-3-319-22446-6_1

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22445-9

  • Online ISBN: 978-3-319-22446-6

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