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S. E. Kulkova, A. V. Bakulin and S. S. Kulkov

. JOM, 51 (6), 35–40. 9. Becker, S., Schutze, M., & Rahmel, A. (1993). Cyclic-oxidation behavior of TiAI and of TiAI alloys. Oxid. Met. , 39 (1/2), 93–106. 10. Wang, J., Kong, L., Li, T., & Hiong, T. (2016). High temperature oxidation behavior of Ti(Al,Si) 3 diffusion coating on γ-TiAl by cold spray. Trans. Nonferrous Met. Soc. China , 26 , 1155–1162. DOI: 10.1016/S1003-6326(16)64214-0 11. Blöchl, P.E. (1994). Projector augmented-wave method. Phys. Rev. B. , 50 (24), 17953–17979. DOI: 10.1103/PhysRevB.50.17953 12. Kresse, G., & Joubert

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Andrzej Sawicki, Jacek Mierczyński and Marcin Smyczyński

by intrinsic cyclic loading, J. Geotech. & Geoenvironmental ASCE, 2013, 140(2), DOI: 10.1061/(ASCE)GT.1943-5606.0001025. [8] SAWICKI A., STAROSZCZYK R., Wave-induced stresses and pore pressures near a mudline, Oceanologia, 2008, 50(4), 539-555. [9] SAWICKI A., ŚWIDZIŃSKI W., KULCZYKOWSKI M., Shaking table dynamics of a dry sand layer, Proc. 2nd Int. Conf. on Performance Based Design in Earthquake Geotechnical Engineering, Int. Soc. Soil Mech. Geotech. Eng., Taormina, Italy, 2012, 661-668. [10] SAWICKI A., ŚWIDZIŃSKI W

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Piotr Srokosz, Ireneusz Dyka and Marcin Bujko

Conferences on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics , San Diego, CA, USA. On CD-ROM, Session 1a, Paper No. 1.15a, 12 p. Tabata K. Vucetic M. 2010 Threshold shear strain for cyclic degradation of three clays 5th International Conferences on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics San Diego, CA, USA On CD-ROM, Session 1a, Paper No. 1.15a 12 [7] Dyka, I. (2011). Use of the laboratory tests of soil modulus in modeling of pile behavior. Studia Geotechnica et Mechanica , 34 , 53-61. Dyka I. 2011 Use of the

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Sidali Denine, Noureddine Della, Muhammed Rawaz Dlawar, Feia Sadok, Jean Canou and Jean-Claude Dupla

under cyclic loading, Geotextiles and Geomembranes, Soil Dynamics and Earthquake Engineering, 2014, 66, 281-292, DOI: 10.1016/j.soildyn.2014.07.011. [31] NOURI S., NECHNECH A., LAMRI B., LURDES LOPES M., Triaxial test of drained test reinforced with plastic layers, Arab. J. Geosci., 2015, 9(1), 1-9, DOI 10.1007/s12517-015-2017-y. [32] RAJAGOPAL K., KRISHNASWAMY N.R., LATHA M.G., Behaviour of sand confined with single and multiple geocells. Geotextiles and Geomembranes, 1999, 17(3), 171-184, DOI: 10.1016/S0266-1144(98)00034-X

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Marek Cała, Joanna Jakóbczyk and Katarzyna Cyran

, 1988, 1–15. [11] G otowała R., H ałuszczak A., The late Alpine structural development of the Kleszczów Graben (Central Poland) as a result of reactivation of pre-existing regional dislocations , EGU Special Publication, 2001, 1, 137–150. [12] H ałuszczak A., Cenozoic dynamics of the Dębina Salt Dome, Kleszczów Graben, inferred from structural features of the Tertiary-Quaternary cover , Annales Societatis Geologorum Poloniae, 2004, 74, 311–318. [13] H ochman A., K ołodziejczyk K., K ula A., M usielak W., O żóg J., Bełchatów Brown Coal Mine

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Magdalena Kowalska

Inżynierii, nr 40, PAN, Warszawa, 1995. [27] H ardin B.O., D rnevich V.P., Shear modulus and damping in soils: measurement and parameter effects , Journal of Soil Mechanics and Foundations Div. ASCE, Vol. 98, No. SM6, 1972, 603–623. [28] H ardin B.O., The nature of stress-strain behavior for soils , Proc. ASCE Geotechnical Division Specialty Conference on Earthquake Engineering and Soil Dynamics, Pasadena, 1978, 1, 3–90. [29] H enkel D.J., S owa V., The influence of stress history on the stress paths followed in undrained triaxial tests , Proc

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Youcef Mahmoudi, Abdellah Cherif Taiba, Leila Hazout, Wiebke Baille and Mostefa Belkhatir

1 Introduction Laboratory observations have consistently confirmed that two samples of sand prepared by different reconstitution methods to the same density may exhibit quite different index properties and mechanical responses when subjected to monotonic and cyclic loading conditions under otherwise similar conditions [ 25 , 26 , 27 , 29 , 33 , 36 ]. The obtained differences can be attributed to the resulted microstructure induced by the different reconstitution techniques that can be identified by the spatial arrangement of sand particles and associated

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Martin Lara

vector along the inertial z axis, the total angular momentum, and the projection of the angular momentum vector along the body axis of maximum inertia, respectively. The fact that the variables λ and μ are cyclic in Hamiltonian (1) immediately shows that the total angular momentum M as well as its projection along the z axis of the inertial frame Λ are integrals. Besides, because Λ is also ignorable in Eq. (1) , the node of the invariable plane remains fixed in the inertial x - y plane. Therefore, the free rigid body Hamiltonian in Andoyer variables is

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F. Crespo, G. Díaz-Toca, S. Ferrer and M. Lara

},\overline{\mathscr{H}}_{\Xi,L_{1}}) \end{array}$ is a Lie-Poisson system, the corresponding dynamics is given by d K d t = 2 n ( β 2 − 4 )   S , d N d t = 2 [ 3 n ( 3 β 2 − 2 ) K + 2 ξ l ( 1 − β 2 ) ]   S , d S d t = n ( β 2 − 4 ) ( K 2 − ( ξ 2 + l 2 + n 2 ) ) K − ( 3 β 2 − 2 ) [ 6 n K N + 4 ξ l ( β 2 − 1 ) N + 2 l n 2 ξ ] . $$\begin{array}{} \displaystyle \begin{array}{*{20}{c}} {\frac{{dK}}{{dt}}} \hfill & = \hfill & {2n({\beta ^2} - 4){\kern 1pt} S,} \hfill \\ {\frac{{dN}}{{dt}}} \hfill & = \hfill & {2[3n(3{\beta ^2} - 2)K + 2\xi l(1 - {\beta ^2

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Wei Gao and Mohammad Reza Farahani

1 8 16 10.1016/j.dam.2009.03.004 [41] J. Chen, J. Liu, Q. Li. (2013), The atom-bond connectivity index of catacondensed polyomino graphs, Discrete Dynamics in Nature and Society, vol. 2013, Article ID 598517, 7 pages. 10.1155/2013/598517 Chen J. Liu J. Li Q. 2013 The atom-bond connectivity index of catacondensed polyomino graphs Discrete Dynamics in Nature and Society 2013 Article ID 598517 7 doi 10.1155/2013/598517 [42] M. Eliasi, A. Iranmanesh. (2011), On ordinary generalized geometric-arithmetic index, Applied Mathematics Letters, 24, 582-587. 10.1016/j