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Finite-element investigation of the stress-strain state of an inhomogeneous rectangular plate

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With the use of the finite-element method, the generalized plane stressed state of a rectangle of isotropic functionally gradient materials under the action of normal load is investigated. A finite-element model is constructed by the Bubnov–Galerkin method. The domain of the body is split into rectangular gradient elements that take into account dependences of Young’s modulus and Poisson’s ratios on coordinates. Numerical calculations are performed for the case where Young’s modulus is a polynomial function. The influence of the material gradientness and the sizes of the rectangle on its stress-strain state is analyzed.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    R. M. Martynyak & M. I. Dmytriv

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  1. R. M. Martynyak
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  2. M. I. Dmytriv
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 1, pp. 107–114, January–March, 2009.

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Martynyak, R.M., Dmytriv, M.I. Finite-element investigation of the stress-strain state of an inhomogeneous rectangular plate. J Math Sci 168, 633–642 (2010). https://doi.org/10.1007/s10958-010-0014-y

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  • DOI: https://doi.org/10.1007/s10958-010-0014-y

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