Study of stress-strain state of the transversely isotropic plates using the refined theory

  • I. P. Bokov
  • N. S. Bondarenko
  • E. A. Strelnikova
Keywords: transversely isotropic plates; refined theory; the equations of statics; fundamental solution; special G-function

Abstract

The fundamental solution of statics equations of transversely isotropic plate was obtained using the two-dimensional Fourier integral transform and the inversion technic based on the special G-function. Such method allows reducing the system of resolving differential equations, which describe static state of flat plate or shell, to a system of algebraic equations. Then, the inverse Fourier transform restores the fundamental solution. Numerical studies, which were carried out, have detected the behavior patterns of stress-strain state components in dependence on material elastic constants. This approach demonstrates development of refined theory of plates and shells based on the three-dimensional elasticity theory.

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References

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Published
2015-10-26
How to Cite
Bokov, I. P., Bondarenko, N. S., & Strelnikova, E. A. (2015). Study of stress-strain state of the transversely isotropic plates using the refined theory. Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control Systems», 27, 33-40. Retrieved from https://periodicals.karazin.ua/mia/article/view/14192
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