Definitions
A higher-order model for micropolar plane curved rods is based on the expansion of the equations of the theory of elasticity into Fourier series in terms of Legendre polynomial. First-order model contains only two members in Legendre polynomial series expansion. It takes into deformations in direction, perpendicular to the middle line of rod.
Introduction
Classical linear theory of elasticity is the most popular and usable in engineering and scientific applications. However, the classical theory of elasticity fails to produce acceptable results at micro- and nano-scale (e.g., micro- and nano-sized components such as thin films, beams, and plates, which are commonly used in MEMS and NEMS devices). See, for example, Altenbach and Eremeyev (2013) and Lyshevski (2005).
To improve the results of the classical theory of elasticity, various theories of generalized continua have been...
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References
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Zozulya, V.V. (2018). Higher Order Theory of Micropolar Curved Rods. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_273-1
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DOI: https://doi.org/10.1007/978-3-662-53605-6_273-1
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