A general isogeometric finite element formulation for rotation‐free shells with in‐plane bending of embedded fibers - Publication - MOST Wiedzy

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A general isogeometric finite element formulation for rotation‐free shells with in‐plane bending of embedded fibers

Abstract

This article presents a general, nonlinear isogeometric finite element formulation for rotation-free shells with embedded fibers that captures anisotropy in stretching, shearing, twisting, and bending - both in-plane and out-of-plane. These capabilities allow for the simulation of large sheets of heterogeneous and fibrous materials either with or without matrix, such as textiles, composites, and pantographic structures. The work is a computational extension of our earlier theoretical work that extends existing Kirchhoff-Love shell theory to incorporate the in-plane bending resistance of initially straight or curved fibers. The formulation requires only displacement degrees-of-freedom to capture all mentioned modes of deformation. To this end, isogeometric shape functions are used in order to satisfy the required C1-continuity for bending across element boundaries. The proposed formulation can admit a wide range of material models, such as surface hyperelasticity that does not require any explicit thickness integration. To deal with possible material instability due to fiber compression, a stabilization scheme is added. Several benchmark examples are used to demonstrate the robustness and accuracy of the proposed computational formulation.

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Keywords

Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN: 0029-5981
Language:
English
Publication year:
2022
Bibliographic description:
Duong T. X., Itskov M., Sauer R.: A general isogeometric finite element formulation for rotation‐free shells with in‐plane bending of embedded fibers// INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING -, (2022),
DOI:
Digital Object Identifier (open in new tab) 10.1002/nme.6937
Verified by:
Gdańsk University of Technology

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