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Weak solutions of the interior boundary value problems of plane Cosserat elasticity

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Abstract.

In this paper we formulate interior Dirichlet and Neumann boundary value problems of plane Cosserat elasticity in Sobolev spaces, show that these problems are well-posed and find the corresponding weak solutions in the form of integral potentials.

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Authors and Affiliations

  1. Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

    E. Shmoylova, S. Potapenko & L. Rothenburg

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  1. E. Shmoylova
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  2. S. Potapenko
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  3. L. Rothenburg
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Received: April 7, 2005

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Shmoylova, E., Potapenko, S. & Rothenburg, L. Weak solutions of the interior boundary value problems of plane Cosserat elasticity. Z. angew. Math. Phys. 57, 506–522 (2006). https://doi.org/10.1007/s00033-005-0026-5

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  • DOI: https://doi.org/10.1007/s00033-005-0026-5

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