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What are the limitations of classical plate theories, such as the Kirchhoff-Love theory, in handling shear deformation adequately?

Displacement field

Bending of plates

Stress resultants

Transverse plane

Boundary value problem

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Classical plate theories, such as the Kirchhoff-Love theory, have limitations in adequately handling shear deformation. The Kirchhoff-Love theory assumes linear shape functions for in-plane displacements, resulting in constant shear strains and violation of traction boundary conditions on the top and bottom surfaces of the plate . Additionally, the theory requires shear correction factors that are not easily obtained for general problems . These limitations can lead to inaccurate stress fields and the so-called Poisson's locking problem in classical thin plate theories . To overcome these limitations, alternative theories, such as the First-Order Shear Deformation Theory (FSDT) and high-order shear deformation theories (HSDTs), have been proposed. These theories account for shear effects and possess nonlinear shape functions that better describe the kinematics of laminated plates .

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Open access•DOI Non-classical plate model for single-layered graphene sheet for axial buckling Babak Safaei, Farzad Hamed Khoda, Ashghar Mohammadpour Fattahi - Show less +2 more 01 Jul 2019 28 Citations	The limitations of classical plate theories in handling shear deformation adequately are not mentioned in the provided paper.
Journal Article•DOI On simplified deformation gradient theory of modified gradient elastic Kirchhoff–Love plate Yucheng Zhou, Kefu Huang - Show less +1 more 01 Apr 2023-European Journal of Mechanics A-solids	The limitations of classical plate theories in handling shear deformation adequately are not mentioned in the provided paper.
Journal Article•DOI Revisiting Kirchhoff–Love plate theories for thin laminated configurations and the role of transverse loads Xue-feng Zhao, Zhi Guang Sun, Yichao Zhu, Chun Yang - Show less +3 more 27 Jan 2022-Journal of Composite Materials	The provided paper does not mention the limitations of classical plate theories, such as the Kirchhoff-Love theory, in handling shear deformation adequately.
Journal Article•DOI Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates Philippe G. Ciarlet, Cristinel Mardare - Show less +1 more 08 Sep 2022-Mathematics and Mechanics of Solids	The provided paper does not mention the limitations of classical plate theories, such as the Kirchhoff-Love theory, in handling shear deformation adequately.

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