scholarly journals A coupled finite element approach for the modelling of composites with fibres possessing fibre-bending stiffness

PAMM ◽  
2016 ◽  
Vol 16 (1) ◽  
pp. 299-300
Author(s):  
Tobias Asmanoglo ◽  
Andreas Menzel
Keyword(s):  
Finite Element ◽  
Bending Stiffness ◽  
Finite Element Approach ◽  
Element Approach ◽  
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.

A Finite Element Approach to the Transient Dynamics of Rolling Tires with Emphasis on Rolling Noise Simulation4

2007 ◽  
Vol 35 (3) ◽  
pp. 165-182 ◽  
Author(s):  
Maik Brinkmeier ◽  
Udo Nackenhorst ◽  
Heiner Volk
Keyword(s):  
Finite Element ◽  
Traffic Noise ◽  
Complex Eigenvalue ◽  
Arbitrary Lagrangian Eulerian ◽  
Finite Element Approach ◽  
Road Systems ◽  
Element Approach ◽  
Road Surface Roughness ◽  
Complex Eigenvalue Analysis ◽  
Rolling Noise

Abstract The sound radiating from rolling tires is the most important source of traffic noise in urban regions. In this contribution a detailed finite element approach for the dynamics of tire/road systems is presented with emphasis on rolling noise prediction. The analysis is split into sequential steps, namely, the nonlinear analysis of the stationary rolling problem within an arbitrary Lagrangian Eulerian framework, and a subsequent analysis of the transient dynamic response due to the excitation caused by road surface roughness. Here, a modal superposition approach is employed using complex eigenvalue analysis. Finally, the sound radiation analysis of the rolling tire/road system is performed.

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