scholarly journals Mori–Tanaka Formalism-Based Method Used to Estimate the Viscoelastic Parameters of Laminated Composites

Polymers ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 2481
Author(s):  
Mostafa Katouzian ◽  
Sorin Vlase
Keyword(s):  
Composite Material ◽  
Least Squares Method ◽  
Mean Field ◽  
Field Method ◽  
Engineering Practice ◽  
Computation Method ◽  
Creep Tests ◽  
Compliance Matrix ◽  
Viscoelastic Composite ◽  
Viscoelastic Composite Material

The paper establishes the mechanical properties of a viscoelastic composite material reinforced with fibers, where the fiber is transverse isotropic and the matrix is isotropic (a common case met in engineering practice). A computation method using the Mori–Tanaka mean field method has been developed in order to apply on viscoelastic materials. Using this procedure, the time-dependent response of a viscoelastic composite material can be determined. Schapery’s nonlinear constitutive equation is also used in the compliance matrix determination of the composite material under investigation. Nonlinearity factors were determined by creep tests at different values of stresses and temperatures and for different materials, based on the least squares method. The results obtained experimentally and their comparison with the theoretically obtained values show a good agreement between experiment and calculation.

Topology optimization for 3D microstructures of viscoelastic composite materials

2021 ◽  
Author(s):  
Jianglin Yang ◽  
Shiyang Zhang ◽  
Jian Li
Keyword(s):  
Composite Material ◽  
Topology Optimization ◽  
Viscoelastic Material ◽  
Effective Properties ◽  
Vibration Damping ◽  
Homogenization Theory ◽  
Viscoelastic Composite ◽  
Viscoelastic Composite Material ◽  
High Stiffness ◽  
Beso Method

Abstract Materials with high stiffness and good vibration damping properties are of great industrial interest. In this paper, a topology optimization algorithm based on the BESO method is applied to design viscoelastic composite material by adjusting its 3D microstructures. The viscoelastic composite material is assumed to be composed of a non-viscoelastic material with high stiffness and a viscoelastic material with good vibration damping. The 3D microstructures of the composite are uniformly represented by corresponding periodic unit cells (PUCs). The effective properties of the 3D PUC are extracted by the homogenization theory. The optimized properties of the composites and the optimal microscopic layout of the two materials phases under the conditions of maximum stiffness and maximum damping are given by several numerical examples.

Homogenisation of a viscoelastic equation with non-periodic coefficients

1987 ◽  
Vol 106 (1-2) ◽  
pp. 143-160 ◽  
Author(s):  
Maria-Luisa Mascarenhas
Keyword(s):  
Composite Material ◽  
Initial Data ◽  
Stress Tensor ◽  
Fading Memory ◽  
Periodic Coefficients ◽  
Viscoelastic Composite ◽  
Viscoelastic Composite Material ◽  
Viscoelastic Equation

SynopsisThe homogenisation of a linearly viscoelastic composite material is performed without any periodicity assumptions and with no restrictions on the initial data. A term of fading memory is evidenced in the expression of the homogenised stress tensor.

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