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This study presents a systematic and mathematically rigorous approach for deriving a displacement-based reduced-order plate model. The presented approach refrains from ad hoc or a priori assumptions. It treats a plate as a 3D structure and gradually develops a reduced-order 2D model for it, accounting for its geometry and keeping strains bounded by \(\varepsilon \ll 1\) consistently. The final strains obtained through the present approach exactly match those given by Classical Plate Theory (CPT), demonstrating that the present plate theory is energetically equivalent to CPT plate theory.

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An Energy-Based Perspective Into Deformation of Plates with Anisotropic Material Properties

  • 会议论文

  • 发表日期：

    2025年

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  • Anup Kumar Pathak,
  • Satwinder Jit Singh,
  • Srikant Sekhar Padhee

摘要

This study presents a systematic and mathematically rigorous approach for deriving a displacement-based reduced-order plate model. The presented approach refrains from ad hoc or a priori assumptions. It treats a plate as a 3D structure and gradually develops a reduced-order 2D model for it, accounting for its geometry and keeping strains bounded by \(\varepsilon \ll 1\) consistently. The final strains obtained through the present approach exactly match those given by Classical Plate Theory (CPT), demonstrating that the present plate theory is energetically equivalent to CPT plate theory.