Classical Plate Elements
Andreas Öchsner ()
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Andreas Öchsner: Esslingen University of Applied Sciences
Chapter Chapter 6 in Computational Statics and Dynamics, 2023, pp 349-392 from Springer
Abstract:
Abstract This chapter starts with the analytical description of classical plate members. Classical plates are thin plates where the contribution of the shear force on the deformations is neglected. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equation, which describes the physical problem, is derived. The weighted residual method is then used to derive the principal finite element equation for classical plate elements. The chapter exemplarily treats a four-node bilinear quadrilateral (quad 4) bending elementElement typequad 4.
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-09673-0_6
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DOI: 10.1007/978-3-031-09673-0_6
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