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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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Authors (3)
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Thang X. Duong dr
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Mikhail Itskov
Cite as
Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1002/nme.6937
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Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
no. 123,
pages 3115 - 3147,
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 -Vol. 123,iss. 4 (2022), s.3115-3147
- DOI:
- Digital Object Identifier (open in new tab) 10.1002/nme.6937
- Sources of funding:
-
- COST_FREE
- Verified by:
- Gdańsk University of Technology
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