Citation:
S. I. Meshkov, “Description of internal friction in the memory theory of elasticity using kernels with a weak singularity”, Prikl. Mekh. Tekh. Fiz., 8:4 (1967), 147–151; J. Appl. Mech. Tech. Phys., 8:4 (1967), 100–102
\Bibitem{Mes67}
\by S.~I.~Meshkov
\paper Description of internal friction in the memory theory of elasticity using kernels with a weak singularity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1967
\vol 8
\issue 4
\pages 147--151
\mathnet{http://mi.mathnet.ru/pmtf8429}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1967
\vol 8
\issue 4
\pages 100--102
\crossref{https://doi.org/10.1007/BF00913587}
Linking options:
https://www.mathnet.ru/eng/pmtf8429
https://www.mathnet.ru/eng/pmtf/v8/i4/p147
This publication is cited in the following 27 articles:
Marina V. Shitikova, Konstantin A. Modestov, “Mathematical Modelling of Viscoelastic Media Without Bulk Relaxation via Fractional Calculus Approach”, Mathematics, 13:3 (2025), 350
Ivan I. Popov, Marina V. Shitikova, Artem V. Levchenko, Alexey D. Zhukov, “Experimental identification of the fractional parameter of the fractional derivative standard linear solid model for fiber-reinforced rubber concrete”, Mechanics of Advanced Materials and Structures, 31:17 (2024), 4131
Marina V Shitikova, “Impact response of a thin shallow doubly curved linear viscoelastic shell rectangular in plan”, Mathematics and Mechanics of Solids, 27:9 (2022), 1721
M. V. Shitikova, “Fractional Operator Viscoelastic Models in Dynamic Problems of Mechanics of Solids: A Review”, Mech. Solids, 57:1 (2022), 1
Marco Amabili, Prabakaran Balasubramanian, Giovanni Ferrari, “Nonlinear vibrations and damping of fractional viscoelastic rectangular plates”, Nonlinear Dyn, 103:4 (2021), 3581
Peng Huang, Jixiong Zhang, Xingjie Yan, Anthony John Spencer Spearing, Meng Li, Shiwei Liu, “Deformation response of roof in solid backfilling coal mining based on viscoelastic properties of waste gangue”, International Journal of Mining Science and Technology, 31:2 (2021), 279
Peng Huang, Jixiong Zhang, Ntigurirwa Jean Damascene, Chaowei Dong, Zhaojun Wang, “A fractional order viscoelastic-plastic creep model for coal sample considering initial damage accumulation”, Alexandria Engineering Journal, 60:4 (2021), 3921
Yury A. Rossikhin, Marina V. Shitikova, Encyclopedia of Continuum Mechanics, 2020, 971
Sergei Bosiakov, Encyclopedia of Continuum Mechanics, 2020, 946
Jiangchuan Niu, Jian Hou, Yongjun Shen, Shaopu Yang, “Dynamic analysis and vibration control of nonlinear boring bar with fractional-order model of magnetorheological fluid”, International Journal of Non-Linear Mechanics, 121 (2020), 103459
Yuan Qin, Zhanlong Li, Dagang Sun, Yao Wang, Bao Sun, Jianmei Wang, “Response of fractional Maxwell viscoelastic oscillator subjected to impact load”, Journal of the Chinese Institute of Engineers, 43:8 (2020), 742
A I Krusser, M V Shitikova, “Classification of viscoelastic models with integer and fractional order derivatives”, IOP Conf. Ser.: Mater. Sci. Eng., 747:1 (2020), 012007
Yury A. Rossikhin†, Marina V. Shitikova, Encyclopedia of Continuum Mechanics, 2019, 1
Sergei Bosiakov, Encyclopedia of Continuum Mechanics, 2019, 1
Yu A Rossikhin, MV Shitikova, “Dynamic response of a viscoelastic plate impacted by an elastic rod”, Journal of Vibration and Control, 22:8 (2016), 2019
Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin, Springer Monographs in Mathematics, Mittag-Leffler Functions, Related Topics and Applications, 2014, 17
Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin, Springer Monographs in Mathematics, Mittag-Leffler Functions, Related Topics and Applications, 2014, 7
Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin, Springer Monographs in Mathematics, Mittag-Leffler Functions, Related Topics and Applications, 2014, 55
Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin, Springer Monographs in Mathematics, Mittag-Leffler Functions, Related Topics and Applications, 2014, 165
Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin, Springer Monographs in Mathematics, Mittag-Leffler Functions, Related Topics and Applications, 2014, 1