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Nonlinear theory and finite element analysis of cylindrical deformation of hyperelastic thick rods

Abstract

This paper presents a theory and finite element formulation for the plane strain problem of hyperelastic bodies undergoing cylindrical bending using one-dimensional C0 elements called ROD. The paper addresses several aspects characteristic of thick shells experiencing finite elastic deformations, which are not typically encountered in the analysis of classical thin shells. These include significant deformations through the shell's thickness in highly nonlinear range, the numerical implementation of various nonlinear material behaviors, the impact of the chosen reference surface (load) location on the solutions, and the treatment of related boundary conditions. The obtained results are compared with those obtained by commercial code finite element analysis Abaqus system to show the effectiveness of the formulation.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE no. 212,
ISSN: 0020-7225
Language:
English
Publication year:
2025
Bibliographic description:
Chróścielewski J., Sabik A., Witkowski W.: Nonlinear theory and finite element analysis of cylindrical deformation of hyperelastic thick rods// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE -, (2025), s.104269-
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2025.104269
Sources of funding:
  • IDUB
Verified by:
Gdańsk University of Technology

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