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The micro-scale approach utilizes the Generalized Method of Cells semi-analytical micromechanics theory to represent the nonlinear response of the tows, wherein the same progressive damage model, now specialized to initially isotropic materials, is used to model the matrix material within the tows.
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Therefore an investigation is conducted to demonstrate the utility of utilizing the generalized method of cells (GMC), a semi-analytical micromechanics-based approach, to simulate the elastic and elastoplastic material behavior of aligned short fiber composites.
This identification approach utilizes the generalized form of a Padé Legendre approximation for studying multivariable functions.
The solution algorithm utilizes the generalized orthogonality of the system eigenvectors to decouple the system matrix equation.
With the aid of Hamilton's principle, the nonlinear differential governing equation was established and solved by utilizing the generalized differential quadrature method.
Starting from an initial rate vector, SUMT Algorithm updates the rate vector, r, in each iteration by utilizing the generalized Newton's method and then increase the penalty parameter.
The values for parameters α and λ were determined using the generalized method of moments.
Pattern recognition utilized the generalized linear model, maximum likelihood fitting, for Poisson distributed uncertainties.
Longitudinal regression analyses utilized the generalized estimating equations (GEE) model controlling for autocorrelation, day of week, outdoor fungi, and weather.
The influence of the loading orientation on the viscoplastic response of the composite is investigated using the strain-compatible volume-averaging method and the widely utilized generalized method of cells.
This method utilizes the Euler Maruyama method.
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