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Classical Plate Elements

In: Computational Statics and Dynamics

Author

Listed:
  • Andreas Öchsner

    (Esslingen University of Applied Sciences)

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.

Suggested Citation

  • Andreas Öchsner, 2023. "Classical Plate Elements," Springer Books, in: Computational Statics and Dynamics, edition 3, chapter 0, pages 349-392, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-09673-0_6
    DOI: 10.1007/978-3-031-09673-0_6
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