Isogeometric analysis of fiber reinforced composites using Kirchhoff–Love shell elements
Isogeometric analysis of fiber reinforced composites using Kirchhoff–Love shell elements
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DOI：
10.1016/j.cma.2020.112845
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发表时间：
2020-04
影响因子：
7.2
通讯作者：
J. Schulte;M. Dittmann;S. Eugster;S. Hesch;T. Reinicke;F. dell’Isola;C. Hesch
中科院分区：
文献类型：
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作者：
J. Schulte;M. Dittmann;S. Eugster;S. Hesch;T. Reinicke;F. dell’Isola;C. Hesch
将机织物的第二梯度理论应用于Kirchhoff-Love壳单元，分析了纤维增强复合材料的力学性能。特别是，我们假设一个连续分布的纤维嵌入到壳表面，占额外的面内弯曲阻力内的超弹性制度。对于有限元离散化，我们采用等几何方法，即我们使用B样条作为基函数，省略了混合方法的使用。织物的更高梯度配方通过一系列数值示例进行验证，然后通过使用有机片材上的实验测量进行适当的验证步骤。最后一个例子，使用非平面参考几何演示所提出的配方的能力。
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.