Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements

被引：50

作者：

Schulte, J. ^{[1
]}

Dittmann, M. ^{[1
]}

Eugster, S. R. ^{[3
]}

Hesch, S. ^{[2
]}

Reinicke, T. ^{[2
]}

dell'Isola, F. ^{[4
]}

Hesch, C. ^{[1
]}

机构：

[1] Univ Siegen, Chair Computat Mech, Siegen, Germany

[2] Univ Siegen, Chair Prod Dev, Siegen, Germany

[3] Univ Stuttgart, Inst Nonlinear Mech, Stuttgart, Germany

[4] Sapienza Univ Rome, Dept Struct & Geotech Engn, Rome, Italy

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2020年 / 362卷

关键词：

Second gradient elasticity; Woven fabrics; Isogeometric analysis; FINITE-ELEMENT; GRADIENT ELASTICITY; CONTINUUM-MECHANICS; FORMULATION; DEFORMATIONS; GEOMETRY; SOLIDS; NURBS; WEAK;

D O I：

10.1016/j.cma.2020.112845

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A second gradient theory for woven fabrics is applied to Kirchhoff-Love shell elements to analyze the mechanics of fiber reinforced composite materials. In particular, we assume a continuous distribution of the fibers embedded into the shell surface, accounting for additional in-plane flexural resistances within the hyperelastic regime. For the finite element discretization we apply isogeometric methods, i.e. we make use of B-splines as basis functions omitting the usage of mixed approaches. The higher gradient formulation of the fabric is verified by a series of numerical examples, followed by suitable validation steps using experimental measurements on organic sheets. A final example using a non-flat reference geometry demonstrates the capabilities of the presented formulation. (C) 2020 Elsevier B.V. All rights reserved.

引用

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