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State space approach to two-dimensional generalized micropolar thermoelasticity

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Abstract

The state space approach to two-dimensional generalized micropolar thermoelasticity has been formulated. In this formulation, the governing equations are transformed into a matrix equation whose solution enables us to write the solution of any two-dimensional problem in terms of the boundary conditions. The resulting formulation is applied to a half-space problem.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria, Egypt

    Hany H. Sherief

  2. Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt

    Amani M. El-sayed

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  1. Hany H. Sherief
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  2. Amani M. El-sayed
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Correspondence to Hany H. Sherief.

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Sherief, H.H., El-sayed, A.M. State space approach to two-dimensional generalized micropolar thermoelasticity. Z. Angew. Math. Phys. 66, 1249–1265 (2015). https://doi.org/10.1007/s00033-014-0442-5

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  • DOI: https://doi.org/10.1007/s00033-014-0442-5

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