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Pure Membrane, Pseudo Membrane, and Semi Membrane Shell Theories of Hybrid Anisotropic Materials



Author(s)

Chung S. W.¹, Hong S. G.² and Ju Gi Su³

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DOI:10.17265/2161-6213/2018.5-6.005

1. University of Utah, Salt Lake City, Utah, USA
2. Seoul National University, Seoul, South Korea
3. Yeung Nam University, Tae Gu, South Korea

Pure, pseudo and semi membrane theories may sound similar but totally different theories as well as its behavior. The differences are more significant when it comes to hybrid anisotropic materials, namely laminated shell wall thickness. The nomenclatures and classifications have been existed centuries for isotropic material shells since Donnell and Vlasov era. The methods of formulation of the theories are unique and never been used by others except by the authors. Governing differential equations are uniquely formulated for each theory by use of asymptotic expansion method which has never been used by others for isotropic or anisotropic materials. Longitudinal (L) and circumferential (Π or l) length scale were introduced during the course of asymptotic expansion method and the different theories among membrane theory are apparently classified. Characteristic behaviors of each theory are shown.

Cylindrical shell theory, hybrid anisotropic material, pseudo-membrane.