New effective moduli of isotropic viscoelastic composites. Part II. Comparison of approximate calculation with the analytical solution

Applications of the new algorithm for the calculation of stress-strain state of multicomponent isotropic bodies are given in the article. The algorithm is based on the derivation of expressions for iterated effective modules obtained by converting the Voigt-Reuss modules. The comparison of exact solution with the solutions based on new characteristics obtained for the problem of loading a round sandwich plate is given as the example.

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“…The sequence of the iteratively reformed effective modules for the three-component composite has been obtained in [1]:…”

Section: Analysis Of the Numerical Resultsmentioning

confidence: 99%

“…The expressions of new effective characteristics for multicomponent elastic composites have been constructed in work [1]. They were obtained as a result of iterative transformations of the classical Voigt and Reuss modules, and the use of some effective elastic characteristics, which were named as the geometric mean.…”

Section: Introductionmentioning

confidence: 99%

The Implementation of Algorithm Iterative Conversion for Three-Component Composite on the Example of Solution of the Bending Plate Problem

Manabaev

Pavlov

Kazakova

et al. 2017

KEM

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“…For the transition from elastic effective characteristics, determined by ( 1) and ( 2), to the viscoelastic ones, we use the method presented in [8]. Then, time-effective modules on Hashin-Shtrikman type take the following form:…”

Section: Derivation Of the Ratios For Hybrid Effective Modulesmentioning

confidence: 99%

“…To describe the mechanical behavior of elastic composites, the new efficient characteristics, named hybrid modules, have been obtained in [6][7][8]. The hybrid modules are presented as a superposition of the models effective characteristics of Voigt and Reuss on the one hand, and Hashin, Shtrikman on the other.…”

Section: Introductionmentioning

confidence: 99%

The Hybrid Effective Modules of Viscoelastic Composites

Svetashkov

Simankin

Kupriyanov

et al. 2017

KEM

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The formulation of a new mathematical model of deformed viscoelastic composite is shown in the work. The method of constructing a model is based on commonality problems of determining the effective modules of inhomogeneous elastic composites and viscoelastic bodies, which demonstrate the dependence of the mechanical properties from the duration of load action. Mathematical model of hybrid efficient modules has been constructed on the superposition of expressions for known effective modules of Voigt and Reuss, Hashin and Shtrikman. The new model summarizes the properties of classical approximate approaches. We have shown that the calculations of stress-strain state with the help of new effective characteristics provide a more accurate prediction in comparison with known models.

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“…In addition, under certain print modes the diameter of the strands is insufficient for fulfilling voids, i.e., material forms with stretched longitudinal cavities. Such material should be considered as orthotropic composite plastic, and the simulation of its properties can be carried out according to [8][9][10][11]. The external panels of nanosatellites are designed to operate in very severe conditions of outer space.…”

Section: Introductionmentioning

confidence: 99%

Modification of polymeric materials for 3D printing of external panels of nanosatellites

et al. 2017

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New effective moduli of isotropic viscoelastic composites. Part II. Comparison of approximate calculation with the analytical solution

Cited by 9 publications

References 2 publications

The Implementation of Algorithm Iterative Conversion for Three-Component Composite on the Example of Solution of the Bending Plate Problem

The Implementation of Algorithm Iterative Conversion for Three-Component Composite on the Example of Solution of the Bending Plate Problem

The Hybrid Effective Modules of Viscoelastic Composites

Modification of polymeric materials for 3D printing of external panels of nanosatellites

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