Modelling shock waves in composite materials using generalised orthotropic pressure

Excellent mechanical properties of composite materials have numerous engineering applications, especially in aerospace structures. The main characteristics are due to their strength-to-weight ratio and low cost of manufacturing. Therefore, the understanding and an ability to predict the formation an...

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Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2020-07, Vol.32 (4), p.1217-1229
Main Authors: Mohd Nor, M. K., Ho, C. S., Ma’at, N., Kamarulzaman, M. F.
Format: Article
Language:English
Subjects:
Aerospace engineering
Analysis
Carbon fiber reinforced plastics
Carbon-epoxy composites
Classical and Continuum Physics
Composite materials
Constitutive models
Elastoplasticity
Engineering Thermodynamics
Epoxy resins
Equations of state
Fiber composites
Fiber reinforced polymers
Heat and Mass Transfer
Mathematical analysis
Mathematical models
Mechanical properties
Original Article
Physics
Physics and Astronomy
Plate impact tests
Production costs
Shock wave propagation
Shock waves
Strength to weight ratio
Structural Materials
Tensors
Theoretical and Applied Mechanics
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Summary:Excellent mechanical properties of composite materials have numerous engineering applications, especially in aerospace structures. The main characteristics are due to their strength-to-weight ratio and low cost of manufacturing. Therefore, the understanding and an ability to predict the formation and propagation of shock waves in such materials are important. This paper investigates the ability of the constitutive model generalised for orthotropic materials to predict a complex elastoplastic deformation behaviour which involves very high pressures and shockwaves in composite materials. The formulation consists of a stress tensor formulated based on the combination between Mandel stress tensor and a new pressure generalised for orthotropic materials. The formulation is further combined with a shock equation of state (EOS) to define a new orthotropic EOS. The implementation of this newly orthotropic EOS in the Laboratory (LLNL)-DYNA3D code of UTHM’s version is presented in this paper for potential implementation in the other hydrocode. The formulation is then tested against plate impact test data of carbon fibre-reinforced epoxy composites along the through-thickness and longitudinal directions including the results obtained by Vignjevic’s model (Vignjevic et al. in J Appl Phys 104(4):044904, 2008). A good agreement is obtained in each test.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-019-00835-6