El-Nabulsi, Rami Ahmad; Anukool, Waranont Fractal dimensions in fluid dynamics and their effects on the Rayleigh problem, the Burger’s vortex and the Kelvin-Helmholtz instability. (English) Zbl 1504.76011 Acta Mech. 233, No. 1, 76F363-381 (2022). MSC: 76A99 76D99 76E17 76F99 28A80 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi} and \textit{W. Anukool}, Acta Mech. 233, No. 1, 76F363--381 (2022; Zbl 1504.76011) Full Text: DOI
Luo, Shao-Kai; Yang, Ming-Jing; Zhang, Xiao-Tian; Dai, Yun Basic theory of fractional Mei symmetrical perturbation and its applications. (English) Zbl 1390.70046 Acta Mech. 229, No. 4, 1833-1848 (2018). MSC: 70H09 70H33 70H05 70H11 26A33 PDFBibTeX XMLCite \textit{S.-K. Luo} et al., Acta Mech. 229, No. 4, 1833--1848 (2018; Zbl 1390.70046) Full Text: DOI
Pan, Wujiu; Li, Xiaopeng; Wang, Linlin; Mu, Jiaxin; Yang, Zemin A loading fractal prediction model developed for dry-friction rough joint surfaces considering elastic-plastic contact. (English) Zbl 1390.74145 Acta Mech. 229, No. 5, 2149-2162 (2018). MSC: 74M15 28A80 PDFBibTeX XMLCite \textit{W. Pan} et al., Acta Mech. 229, No. 5, 2149--2162 (2018; Zbl 1390.74145) Full Text: DOI
Luo, Shao-Kai; Zhang, Xiao-Tian; He, Jin-Man; Xu, Yan-Li On the families of fractional dynamical models. (English) Zbl 1380.26004 Acta Mech. 228, No. 11, 3741-3754 (2017). MSC: 26A33 70H05 PDFBibTeX XMLCite \textit{S.-K. Luo} et al., Acta Mech. 228, No. 11, 3741--3754 (2017; Zbl 1380.26004) Full Text: DOI
Luo, Shao-Kai; Zhang, Xiao-Tian; He, Jin-Man A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications. (English) Zbl 1376.37105 Acta Mech. 228, No. 1, 157-174 (2017). MSC: 37J15 70H20 26A33 34A08 70H33 PDFBibTeX XMLCite \textit{S.-K. Luo} et al., Acta Mech. 228, No. 1, 157--174 (2017; Zbl 1376.37105) Full Text: DOI
Xu, Yan-Li; Luo, Shao-Kai Fractional Nambu dynamics. (English) Zbl 1344.37088 Acta Mech. 226, No. 11, 3781-3793 (2015). MSC: 37N05 70H30 35R11 70E17 26A33 34A08 PDFBibTeX XMLCite \textit{Y.-L. Xu} and \textit{S.-K. Luo}, Acta Mech. 226, No. 11, 3781--3793 (2015; Zbl 1344.37088) Full Text: DOI
He, Jin-Man; Xu, Yan-Li; Luo, Shao-Kai Stability for manifolds of the equilibrium state of fractional Birkhoffian systems. (English) Zbl 1325.70046 Acta Mech. 226, No. 7, 2135-2146 (2015). MSC: 70K20 35R11 PDFBibTeX XMLCite \textit{J.-M. He} et al., Acta Mech. 226, No. 7, 2135--2146 (2015; Zbl 1325.70046) Full Text: DOI
Luo, Shao-Kai; Xu, Yan-Li Fractional Birkhoffian mechanics. (English) Zbl 1357.70017 Acta Mech. 226, No. 3, 829-844 (2015). MSC: 70G99 26A33 34A08 PDFBibTeX XMLCite \textit{S.-K. Luo} and \textit{Y.-L. Xu}, Acta Mech. 226, No. 3, 829--844 (2015; Zbl 1357.70017) Full Text: DOI
Luo, Shao-Kai; Li, Lin; Xu, Yan-Li Lie algebraic structure and generalized Poisson conservation law for fractional generalized Hamiltonian systems. (English) Zbl 1302.70046 Acta Mech. 225, No. 9, 2653-2666 (2014). MSC: 70H05 37N05 34A08 70H33 PDFBibTeX XMLCite \textit{S.-K. Luo} et al., Acta Mech. 225, No. 9, 2653--2666 (2014; Zbl 1302.70046) Full Text: DOI
Li, Lin; Luo, Shao-Kai Fractional generalized Hamiltonian mechanics. (English) Zbl 1321.70015 Acta Mech. 224, No. 8, 1757-1771 (2013). MSC: 70H33 70S05 26A33 34A08 PDFBibTeX XMLCite \textit{L. Li} and \textit{S.-K. Luo}, Acta Mech. 224, No. 8, 1757--1771 (2013; Zbl 1321.70015) Full Text: DOI
Ostoja-Starzewski, Martin Extremum and variational principles for elastic and inelastic media with fractal geometries. (English) Zbl 1167.74017 Acta Mech. 205, No. 1-4, 161-170 (2009). MSC: 74F10 74G65 28A80 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski}, Acta Mech. 205, No. 1--4, 161--170 (2009; Zbl 1167.74017) Full Text: DOI
Borodich, F. M. Parametric homogeneity and non-classical self-similarity. I: Mathematical background. II: Some applications. (English) Zbl 0927.74003 Acta Mech. 131, No. 1-2, 27-67 (1998). MSC: 28A80 86A15 74M15 74R10 PDFBibTeX XMLCite \textit{F. M. Borodich}, Acta Mech. 131, No. 1--2, 27--67 (1998; Zbl 0927.74003) Full Text: DOI
Frantziskonis, G. Heterogeneity and implicated surface effects: Statistical, fractal formulation and relevant analytical solution. (English) Zbl 0883.73068 Acta Mech. 108, No. 1-4, 157-178 (1995). Reviewer: J.Murzewski (Kraków) MSC: 74A60 74M25 74A40 74L10 PDFBibTeX XMLCite \textit{G. Frantziskonis}, Acta Mech. 108, No. 1--4, 157--178 (1995; Zbl 0883.73068) Full Text: DOI
Theocaris, P. S.; Panagiotopoulos, P. D. Crack-interfaces of fractal type with friction. (English) Zbl 0771.73069 Acta Mech. 98, No. 1-4, 63-78 (1993). MSC: 74R99 28A80 74A55 74M15 PDFBibTeX XMLCite \textit{P. S. Theocaris} and \textit{P. D. Panagiotopoulos}, Acta Mech. 98, No. 1--4, 63--78 (1993; Zbl 0771.73069) Full Text: DOI