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Recent Advances in Engineering Science pp 84–95Cite as

Shear Bands in Isotropic Micropolar Elastic Materials

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Part of the book series: Lecture Notes in Engineering ((LNENG,volume 39))

Abstract

This investigation concerns localized deformation fields occurring due to jumps of second-order gradients of displacement across a standing singular surface in a micropolar elastic material. Such a standing singular surface gives rise to a shear band. The condition for the existence of a shear band is obtained in terms of an appropriate acoustic tensor for the micropolar continuum. The behavior of the inclination angle of the shear band is examined under varied loading conditions. Numerical calculations are presented for a micropolar elastic solid in the two cases of uniaxial tension and of tension of a thin plate.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Oregon State University, Corvallis, Oregon, 97331, USA

    M. N. L. Narasimhan & M. Kumazawa

Authors
  1. M. N. L. Narasimhan
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  2. M. Kumazawa
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Editor information

Editors and Affiliations

  1. University of Maryland, Baltimore, MD, 21228, USA

    Severino L. Koh (Assoc. Dean of Engineering) (Assoc. Dean of Engineering)

  2. ICASE, NASA Langley Research Center, Mailstop 132 C, Hampton, VA, 23665, USA

    C. G. Speziale (Senior Staff Scientist) (Senior Staff Scientist)

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© 1989 Springer-Verlag Berlin, Heidelberg

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Narasimhan, M.N.L., Kumazawa, M. (1989). Shear Bands in Isotropic Micropolar Elastic Materials. In: Koh, S.L., Speziale, C.G. (eds) Recent Advances in Engineering Science. Lecture Notes in Engineering, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83695-4_9

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  • DOI: https://doi.org/10.1007/978-3-642-83695-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50721-5

  • Online ISBN: 978-3-642-83695-4

  • eBook Packages: Springer Book Archive

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