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A finite strain model for fiber angle plasticity of textile fabrics based on isogeometric shell finite elements

Abstract

This work presents a shear elastoplasticity model for textile fabrics within the theoretical framework of anisotropic Kirchhoff–Love shells with bending of embedded fibers proposed by Duong et al. (2023). The plasticity model aims at capturing the rotational inter-ply frictional sliding between fiber families in textile composites undergoing large deformation. Such effects are usually dominant in dry textile fabrics such as woven and non-crimp fabrics. The model explicitly uses relative angles between fiber families as strain measures for the kinematics. The plasticity model is formulated directly with surface invariants without resorting to thickness integration. Motivated by experimental observations from the picture frame test, a yield function is proposed with isotropic hardening and a simple evolution equation. A classical return mapping algorithm is employed to solve the elastoplastic problem within the isogeometric finite shell element formulation of Duong et al. (2022). The verification of the implementation is facilitated by the analytical solution for the picture frame test. The proposed plasticity model is calibrated from the picture frame test and is then validated by the bias extension test, considering available experimental data for different samples from the literature. Good agreement between model prediction and experimental data is obtained. Finally, the applicability of the elastoplasticity model to 3D shell problems is demonstrated.

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Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS no. 200,
ISSN: 0022-5096
Language:
English
Publication year:
2025
Bibliographic description:
Duong T. X., Sauer R.: A finite strain model for fiber angle plasticity of textile fabrics based on isogeometric shell finite elements// JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS -, (2025), s.106158-
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.jmps.2025.106158
Sources of funding:
  • Free publication
Verified by:
Gdańsk University of Technology

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