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

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science Pub Date : 2025-04-10 DOI:10.1016/j.ijengsci.2025.104269

J. Chróścielewski, A. Sabik, W. Witkowski

引用次数: 0

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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超弹性粗杆圆柱变形的非线性理论与有限元分析

本文提出了用一维C0单元（ROD）求解圆柱弯曲超弹性体平面应变问题的理论和有限元公式。本文讨论了厚壳有限弹性变形的几个特点，这些特点在经典薄壳分析中是不常见的。这些包括在高度非线性范围内通过壳体厚度产生的显著变形，各种非线性材料行为的数值实现，所选择的参考表面（载荷）位置对解的影响，以及相关边界条件的处理。将所得结果与商业规范有限元分析Abaqus系统的结果进行了比较，证明了该公式的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Engineering Science 工程技术-工程：综合

CiteScore

11.80

自引率

16.70%

发文量

审稿时长

45 days

期刊介绍： The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.