A new anisotropic bending model for nonlinear shells: Comparison with existing models and isogeometric finite element implementation

Eshwar J. Savitha; Roger Sauer

doi:10.1016/j.ijsolstr.2023.112169

A new anisotropic bending model for nonlinear shells: Comparison with existing models and isogeometric finite element implementation

Abstract

A new nonlinear hyperelastic bending model for shells formulated directly in surface form is presented, and compared to four existing prominent bending models. Through an essential set of elementary nonlinear bending test cases, the membrane and bending stresses of each model are examined analytically. Only the proposed bending model passes all the test cases, while the other bending models either fail or only pass the test cases for small deformations. The proposed new bending model can handle large deformations and initially curved surfaces. It is based on the principal curvatures and their directions in the initial configuration, and it thus can have different bending moduli along those directions. These characteristics make it flexible in modeling a given material, while it does not suffer from the pathologies of existing bending models. Further, the bending models are compared computationally through four classical benchmark examples and one contact example. As the underlying shell theory is based on Kirchhoff–Love kinematics, isogeometric NURBS shape functions are used to discretize the shell surface. The linearization and efficient finite element implementation of the proposed new model are also provided.

Citations

1

CrossRef
0

Web of Science
1

Scopus

Authors (2)

Eshwar J. Savitha
Roger Sauer dr inż.

Cite as

Full text

full text is not available in portal

full content of the article see on external site open in new tab

Keywords

Details

Category:

Articles

Type:

artykuły w czasopismach

Published in:

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES no. 268,
ISSN: 0020-7683

Language:

English

Publication year:

2023

Bibliographic description:

Savitha E. J., Sauer R.: A new anisotropic bending model for nonlinear shells: Comparison with existing models and isogeometric finite element implementation// INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES -, (2023), s.112169-

DOI: