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

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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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

Keywords

  • Dynamical System
  • Fluid Dynamics
  • Classical Theory
  • Transport Phenomenon
  • Simple Approach