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A mixed finite volume formulation for the solution of gradient elasticity problems

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Abstract

The present works aims at solving the equations of dipolar gradient elasticity via the finite volume method. Initially, a general, mixed, finite volume formulation is stated. As a first approach, the equations of 1D and 2D gradient elasticity are solved via the proposed method. Numerical implementation shows that the suggested model is in excellent agreement with analytic solutions. The approach seems to be promising for extension to 3D problems also.

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Authors and Affiliations

  1. Department of Applied Mechanics, Faculty of Applied Mathematics and Physics, National Technical University of Athens, Athens, Greece

    G. I. Tsamasphyros

  2. National Technical University of Athens, Zographou Campus, Theocaris Bld., 0157 73, Athens, Greece

    Christos D. Vrettos

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  1. G. I. Tsamasphyros
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  2. Christos D. Vrettos
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Correspondence to Christos D. Vrettos.

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Tsamasphyros, G.I., Vrettos, C.D. A mixed finite volume formulation for the solution of gradient elasticity problems. Arch Appl Mech 80, 609–627 (2010). https://doi.org/10.1007/s00419-009-0332-z

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