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Table of Contents
- Contents MPM 35(1) 2018.pdf
- Multilayered scrolls of carbon nanoribbons………………………………………………......155-166
- 1_35 (1) E. L. Aero, A. N. Bulygin, Yu. V. Pavlov.pdf
- 1. Introduction
- 2. Nonlinear model of deformation of crystal media with a complex lattice
- 3. Flat deformation. Statics equations
- 3.1. General solution of the equations of statics. The equations of static (18), (19) are a system of four coupled nonlinear equations. We will seek a vector of macroshifts in Papkovish-Neuber form:
- 3.2. Complex representation of the general solution for macrofield equations. Instead of material variables we will introduce complex variables , . The equation of statics (18) in the new variables will take form:
- 3.3. Solutions of the equations of optical mode and structures of microdeformation corresponding to them. In literature there are no analytical methods for solution of sine-Gordon (SG) equation with a variable amplitude. Functionally invariant solutio...
- 4. Conclusion
- 11_35(1) M.A. Kovaleva, V.V. Smirnov, L.I. Manevitch.pdf
- We look for the stationary solutions:
- 12_35(1) R_Kumar_26-09-2016.pdf
- 9. Conclusions
- 13_35(1) Satinder_Kumar_et_al._2015-06-27.pdf
- Kumar and Gupta [44] studied the plane wave propagation in an anisotropic thermoelastic medium with fractional order derivative and void. Sharma and Kumar [45] studied the propagation of Plane waves and fundamental solution in thermoviscoelastic mediu...
- 15_35(1) Suniti Ghangas 2016-10-24.pdf
- 1. Introduction
- 2. Fundamental equations
- 3. Solution of the problem
- 4. Numerical results and discussion
- 5. Conclusions
- Appendix 1
- Appendix 2
- 16_35(1) A.V. Porubov, A.E. Osokina , T.M. Michelitch.pdf
- 1. Introduction
- 2. Statement of the problem and shift operator formalism
- 3. Nonlinear equations of motion
- 4. Conclusion
- Acknowledgements. The work of AVP and AEO has been supported by the Russian Foundation for Basic Researches, grant 17-01-00230-a. AVP has been also partially supported by the Russian Foundation for Basic Researches, grant 16-01-00068-a.
- 18_35(1) A.V. Savin, S. V Dmitriev, E.A. Korznikova, A.A. Kistanov.pdf
- MULTILAYERED SCROLLS OF CARBON NANORIBBONS
- 19_35(1) V.V. Smirnov, L.I. Manevitch.pdf
- V.V. Smirnov*, L.I. Manevitch
- Semenov Institute of Chemical Physics, RAS, 4 Kosygin str., 119991, Moscow, Russia
- *e-mail: vvs@polymer.chph.ras.ru
- Abstract. The nonlinear dynamical equations, which describe the torsion oscillations of the n-paraffin (alkanes) crystal have been derived in the framework of the coarse-grain model. The essentially nonlinear discrete equations reflect the influence o...
- 1. Introduction
- 2. The chain model in the crystal environment
- Fig. 1. Fragment of the n-alkane chain.
- Fig. 2. Torsion (black solid line) and molecular field (red dashed curve) potentials.
- 3. Asymptotic analysis: nonlinear normal modes
- 4. Numerical simulations.
- 5. Conclusion
- References
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