On the isogeometric analysis of vibration and buckling of bioinspired composite plates using inverse hyperbolic shear deformation theory

• Raj Kiran ^[1] ; Diwakar Singh ^[1] ; Sunil Kumar Singh ^[2] ; Abhishek Saini ^[3] ; Yooseob Song ^[4] ; Rahul Vaish ^[1]
  1. [1] Indian Institute of Technology Mandi

     Indian Institute of Technology Mandi

     India

     
  2. [2] Indian Institute of Technology Patna

     Indian Institute of Technology Patna

     India

     
  3. [3] Los Alamos National Laboratory

     Los Alamos National Laboratory

     Estados Unidos

     
  4. [4] University of Alabama in Huntsville

     University of Alabama in Huntsville

     Estados Unidos

     

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• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 53, Nº. 2, 2025, págs. 1067-1104
• Idioma: inglés
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• Resumen

  • Inspired by the remarkable energy absorption and damage tolerance capabilities observed in mantis shrimp crustaceans, this study delves into the intricate realm of biological composites with helicoidal structures. However, the effect of the relative orientation of fibers within the helicoidal structure matrix on the buckling and vibration characteristics still warrants comprehensive investigation for the better design of the bioinspired structures. For the first time, a Non-Uniform Rational B-Splines (NURBS)-based isogeometric analysis (IGA) framework termed NURBio is proposed to investigate the vibration and buckling characteristics of bioinspired laminated composite structures. The framework employs NURBS basis functions for exact complex geometric representation and field approximation and offers superior computational accuracy and efficiency as compared to conventional finite element method (FEM). The present analysis is underpinned by an inverse hyperbolic shear deformation theory (IHSDT) capable of accurately capturing the interlaminar stress distribution. This research investigates the performance of various bioinspired layup configurations encompassing recursive, exponential, semicircular, and Fibonacci helicoidal designs and compares them with those of unidirectional, and cross-ply laminates. A series of numerical examples on the buckling and vibration response of bioinspired composite plates are presented to demonstrate the versatility and efficacy of the proposed isogeometric framework. The influence of different layups, loading and boundary conditions, and geometric properties on the response of different bioinspired plate structures are meticulously examined. The study offers valuable insights into the design and optimization of high-performance bioinspired structures.