书目名称 | Nonlinear Mechanics of Thin-Walled Structures |
副标题 | Asymptotics, Direct |
编辑 | Yury Vetyukov |
视频video | |
概述 | Hybrid approach is for the first time applied to thin-walled rods of open profile.Simulations in Wolfram Mathematica environment on the basis of high level theoretical investigations will make the boo |
丛书名称 | Foundations of Engineering Mechanics |
图书封面 |  |
描述 | .This book presents a hybrid approach to the mechanics of thin bodies. Classical theories of rods, plates and shells with constrained shear are based on asymptotic splitting of the equations and boundary conditions of three-dimensional elasticity. The asymptotic solutions become accurate as the thickness decreases, and the three-dimensional fields of stresses and displacements can be determined. The analysis includes practically important effects of electromechanical coupling and material inhomogeneity. The extension to the geometrically nonlinear range uses the direct approach based on the principle of virtual work. Vibrations and buckling of pre-stressed structures are studied with the help of linearized incremental formulations, and direct tensor calculus rounds out the list of analytical techniques used throughout the book..A novel theory of thin-walled rods of open profile is subsequently developed from the models of rods and shells, and traditionally applied equations are proven to be asymptotically exact. The influence of pre-stresses on the torsional stiffness is shown to be crucial for buckling analysis. Novel finite element schemes for classical rod and shell structures a |
出版日期 | Book 2014 |
关键词 | Asymptotic Splitting; Classical Rod Theory; Classical Shell Theory; Finite Element Method |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-7091-1777-4 |
isbn_softcover | 978-3-7091-1976-1 |
isbn_ebook | 978-3-7091-1777-4Series ISSN 1612-1384 Series E-ISSN 1860-6237 |
issn_series | 1612-1384 |
copyright | Springer-Verlag Wien 2014 |