scholarly journals An isogeometric finite element approach to fibre-reinforced composites with fibre bending stiffness

2020 ◽  
Author(s):  
Carina Witt ◽  
Tobias Kaiser ◽  
Andreas Menzel
Keyword(s):  
Finite Element ◽  
Bending Stiffness ◽  
Reinforced Composites ◽  
Finite Element Approach ◽  
Element Approach ◽  
Fibre Reinforced Composites ◽  
Fibre Bending Stiffness

scholarly journals A finite deformation isogeometric finite element approach to fibre-reinforced composites with fibre bending stiffness

2021 ◽  
Vol 128 (1) ◽  
Author(s):  
Carina Witt ◽  
Tobias Kaiser ◽  
Andreas Menzel
Keyword(s):  
Finite Element ◽  
Transverse Isotropy ◽  
Bending Stiffness ◽  
Reinforced Composites ◽  
Fibre Direction ◽  
Finite Element Approach ◽  
Continuity Properties ◽  
Element Approach ◽  
Fibre Reinforced Composites ◽  
Fibre Bending Stiffness

AbstractIt is a common technique in many fields of engineering to reinforce materials with certain types of fibres in order to enhance the mechanical properties of the overall material. Specific simulation methods help to predict the behaviour of these composites in advance. In this regard, a widely established approach is the incorporation of the fibre direction vector as an additional argument of the energy function in order to capture the specific material properties in the fibre direction. While this model represents the transverse isotropy of a material, it cannot capture effects that result from a bending of the fibres and does not include any length scale that might allow the simulation of size effects. In this contribution, an enhanced approach is considered which relies on the introduction of higher-gradient contributions of the deformation map in the stored energy density function and which eventually allows accounting for fibre bending stiffness in simulations. The respective gradient fields are approximated by NURBS basis functions within an isogeometric finite element framework by taking advantage of their characteristic continuity properties. The isogeometric finite element approach that is presented in this contribution for fibre-reinforced composites with fibre bending stiffness accounts for finite deformations. It is shown that the proposed method is in accordance with semi-analytical solutions for a representative boundary value problem. In an additional example it is observed that the initial fibre orientation and the particular bending stiffness of the fibres influence the deformation as well as the stress response of the material.

scholarly journals Elastic Properties Investigation on Random and Ordered ZrO2 Nanotube-Reinforced HA and β-TCP Biocomposites with Finite Element Approach

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Zeliang Liu ◽  
Huijian Li ◽  
Zhixin Xu ◽  
Yuying Cao ◽  
Xiao Yang
Keyword(s):  
Finite Element ◽  
Elastic Modulus ◽  
Shear Modulus ◽  
Elastic Properties ◽  
Bone Repair ◽  
Reinforced Composites ◽  
Finite Element Approach ◽  
Aspect Ratios ◽  
Reinforced Composite ◽  
Element Approach

The elastic properties of random and ordered ZrO2 nanotube- (ZrNT-) reinforced HA and β-TCP biocomposites were carried out by a numerical investigation with finite element approach. The elastic modulus, shear modulus, and Poisson’s ratio affected by various ZrNT volume fractions (5.0 vol.%, 5.5 vol.%, 6.5 vol.%, 7.5 vol.%, 8.5 vol.%, and 10.0 vol.%) and aspect ratios (3, 5, 10 and 20) for both random and ordered reinforced composites were obtained and analysed. The advantages of random and ordered reinforced composites were further discussed. The random reinforced composite is suggested to be a proper candidate for ZrO2 nanotube-reinforced biocomposite on the application of bone repair and the substitute.

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