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A simple approach to solve boundary-value problems in gradient elasticity

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Summary

We outline a procedure for obtaining solutions of certain boundary value problems of a recently proposed theory of gradient elasticity in terms of solutions of classical elasticity. The method is applied to illustrate, among other things, how the gradient theory can remove the strain singularity from some typical examples of the classical theory.

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Author notes

  1. C. Q. Ru

    Present address: Institute of Mechanics, Chinese Academy of Sciences, 100080, Beijing, People's Republic of China

  2. E. C. Aifantis

    Present address: Aristotle University of Thessaloniki, GR 54006, Thessaloniki, Greece

Authors and Affiliations

  1. Department of Mechanical Engineering and Engineering Mechanics, Michigan Technological University, 49931, Houghton, MI, USA

    C. Q. Ru & E. C. Aifantis

Authors
  1. C. Q. Ru
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  2. E. C. Aifantis
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Ru, C.Q., Aifantis, E.C. A simple approach to solve boundary-value problems in gradient elasticity. Acta Mechanica 101, 59–68 (1993). https://doi.org/10.1007/BF01175597

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  • DOI: https://doi.org/10.1007/BF01175597

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