Ivestigation of the dynamic stress state of foam media in Cosserat elasticity

• Autorzy: Sulym H. , Mikulich O. , Shvabyuk V.
• Języki publikacji: EN

Abstrakty

EN

The paper presents studies on the application of the boundary integral equation method for investigation of dynamic stress state of foam media with tunnel cavities in Cosserat continuum. For the solution of the non-stationary problem, the Fourier transform for time variable was used. The potential representations of Fourier transform displacements and microrotations are written. The fundamental functions of displacements and microrotations for the two-dimensional case of Cosserat continuum are built. Thus, the fundamental functions of displacement for the time-domain problem are derived as the functions of the two-dimensional isotropic continuum and the functions, which are responsible for the effect of shear-rotation deformations. The method of mechanical quadrature is applied for numerical calculations. Numerical example shows the comparison of distribution of dynamic stresses in the foam medium with the cavity under the action of impulse load accounting for the shear-rotation deformations effect and without accounting for this effect.

Słowa kluczowe

EN

Cosserat elasticity; fundamental functions; time-domain problem; stresses concentrations

PL

sprężystość Cosseratów; funkcja fundamentalna; problem analizy czasowej; koncentracja naprężeń

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 22, nr 3
• Strony: 739--749
• Opis fizyczny: Bibliogr. 18 poz., rys., wykr.

Twórcy

autor

Sulym H.

• Bialystok University of Technology, Wiejska Str. 45C, 15-351 Bialystok, Poland

autor

Mikulich O.

• Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

autor

Shvabyuk V.

• Lutsk National Technical University, Lvivska Str. 75, 43018 Lutsk, Ukraine

Bibliografia

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• [13] Armitage, D.H. and Gardiner, S.J.: Classical Potential Theory, Springer, New York, 2001.
• [14] Mikulich, O., Shvabyuk, V. and Sulym, H.: Dynamic stress concentration at incisions in the plates under the action of weak shock waves, Acta Mechanica et Automatica, 11, 3, 217-221, 2017.
• [15] Savin, G.N. and Shulga, N.A.: Dynamic plane problem of the moment theory of elasticity, Appl. Mech., 3, 6, 216-221, 1967.
• [16] Shvabyuk, V., Sulym, H. and Mikulich, O.: Stress state of plate with incisions under the action of oscillating concentrated forces, Acta Mechanica et Automatica, 9, 3, 140-144, 2015.
• [17] Shvabyuk, V.V., Mikulich, O.A. and Shvabyuk, V.V.: Stress state of foam media with tunnel opening under non-statsionary dynamic loads, Strenght of Materials, 49, 6, 818-828, 2017.
• [18] Mikulich, O., Shvabyuk, V., Pasternak, I. and Andriichuk, O.: Modification of boundary integral equation method for investigation of dynamic stresses for couple stress elasticity, Mechanics Research Communications, 91, 107-111, 2018.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).