Finite Element Modeling of Thermo Creep Processes Using Runge-Kutta Method

Dimitrienko, Yuri; Губарева, Е. А.; Yurin, Yuri

doi:10.7463/0315.0759406

Cited by 2 publications

(2 citation statements)

References 3 publications

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“…In our case, the PC of a 1D composite is transversely isotropic with the main axis 1 Oe , therefore, the tensors 4 1D ( ) K and 4 1D ( ) are indifferent with respect to this symmetry group and can be represented in the form (21). Then, using the components obtained during the calculation in the basis s Oe , we obtain the spectral complex constants 1D ( )…”

Section: K C Cmentioning

confidence: 99%

“…In [16], to calculate the viscoelasticity operators of composites, it was proposed to use the method of asymptotic averaging, and to invert these operators, a generalization of the approximation method by A.A. Ilyushin [17]. Various versions of the method for applying the averaging method for calculating the stress-strain state of thin viscoelastic structures were proposed in [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

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Finite element modeling of integral viscoelastic properties of textile composites

Dimitrienko

Yurin²,

Bogdanov³

et al. 2023

E3S Web of Conf.

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The problem of modeling the effective integral viscoelastic properties of unidirectional composite materials is considered. To calculate the integral properties of viscoelasticity, the Fourier transform and the inverse Fourier transform are used, as well as the method of asymptotic averaging for composites with steady polyharmonic vibrations, and a finite element algorithm for solving local problems of the viscoelasticity theory on the periodicity cell of the composite. To obtain the material constants, a method of approximation of the Fourier images of the relaxation and creep kernels is proposed, which makes it possible to avoid the numerical error of the inverse Fourier transform.

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Section: K C Cmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite element modeling of integral viscoelastic properties of textile composites

Dimitrienko

Yurin²,

Bogdanov³

et al. 2023

E3S Web of Conf.

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Mathematical and numerical models of buckling of three-dimensional structures taking into account the thermal effect

Dimitrienko

Bogdanov

2021

J. Phys.: Conf. Ser.

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Abstracts A mathematical model of buckling of three-dimensional structures is considered, considering the thermal effect on them. The proposed methodology for studying stability consists in solving a system of three problems: thermal conductivity, quasi-static linear thermoelasticity, and, in fact, the problem of buckling theory. The first two tasks correspond to the basic state of the structure, and the third to the varied one, which occurs when the structure loses its stability. The approach described in the work allows considering the influence on the buckling of the structure not only of three-dimensional phenomena (holes, joined local element etc.) but also the influence of thermal stresses. In the study, an algorithm for solving the buckling problem is considered and a variational statement is formulated. The presented model was tested on the rod buckling problem, which showed good agreement with the results obtained in CAE ANSYS software. The modelling presented was carried out in the SMCM software, developed by SIMPLEX Scientific and Educational Centre of Bauman Moscow State Technical University.

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Finite Element Modeling of Thermo Creep Processes Using Runge-Kutta Method

Cited by 2 publications

References 3 publications

Finite element modeling of integral viscoelastic properties of textile composites

Finite element modeling of integral viscoelastic properties of textile composites

Mathematical and numerical models of buckling of three-dimensional structures taking into account the thermal effect

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