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2-D Model of Stressed Plate Derived From the 3-D Elasticity Theory Model

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Theories of Plates and Shells

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 16))

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Abstract

The classical method of deriving 2-D models of plate with initial stresses is based on the Kirchhoff-Love kinematics hypothesis [7] and it is suitable for uniform plates made of a homogeneous material. If the plate is non-uniform or made of inhomogeneous material, the classical method cannot be applied. The investigators developed the homogenization method [1,2,8] suitable to derive 2-D models from 3-D models and applied it to plates without initial stresses.

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References

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© 2004 Springer-Verlag Berlin Heidelberg

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Kolpakov, A.G., Sheremet, I.G. (2004). 2-D Model of Stressed Plate Derived From the 3-D Elasticity Theory Model. In: Kienzler, R., Ott, I., Altenbach, H. (eds) Theories of Plates and Shells. Lecture Notes in Applied and Computational Mechanics, vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39905-6_12

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  • DOI: https://doi.org/10.1007/978-3-540-39905-6_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05904-9

  • Online ISBN: 978-3-540-39905-6

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