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Conservative Semidiscrete Difference Schemes for Timoshenko Systems

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  • D. S. Almeida Júnior

Abstract

We present a parameterized family of finite-difference schemes to analyze the energy properties for linearly elastic constant-coefficient Timoshenko systems considering shear deformation and rotatory inertia. We derive numerical energies showing the positivity, and the energy conservation property and we show how to avoid a numerical anomaly known as locking phenomenon on shear force. Our method of proof relies on discrete multiplier techniques.

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  • D. S. Almeida Júnior, 2014. "Conservative Semidiscrete Difference Schemes for Timoshenko Systems," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnljam:686421
    DOI: 10.1155/2014/686421
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