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physics.class-phDec 31, 2013
5
citations (OpenAlex)
authors
  • Eli Hanukah
institutions
  • Technion – Israel Institute of Technology
arXiv abstractPDF
paper

Higher order closed-form model for isotropic hyperelastic spherical shell (3D solid)

arXiv:1401.0204

Abstract

Higher order closed-form formulation for Neo-Hookean shell is presented. New solution for natural frequency of free vibration of a hemisphere is derived.

15 pages. arXiv admin note: substantial text overlap with arXiv:1312.0083, arXiv:1311.0741

References in corpus (3)

  • A new closed-form model for isotropic elastic sphere including new solutions for the free vibrations problem
  • Development of a higher order closed-form model for isotropic hyperelastic cylindrical body, including small vibration problem
  • A structural theory for a 3D isotropic linear-elastic finite body

Cited by in corpus (5)

  • Semi-analytical mass matrix for 8-node brick element
  • Consistent mass matrix of ten nodes tetrahedral element based on analytical integration
  • Exact integration scheme for six-node wedge element mass matrix
  • Mass Matrix Integration Scheme for Fifteen-node Wedge Element
  • On Semi-Analytical Integration Specified for Mass Matrix of Finite Elements
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