Entropy, 20(3), 2018, 170, the permission is not required, since they were published
under full open access (Chaps. 3 and 5).
The same holds for the paper J. Awrejcewicz, V. A. Krysko, S. Pavlov,
M. V. Zhigalov, L. A. Kalutsky, A. V. Krysko, “Thermoelastic vibrations of a
Timoshenko microbeam based on the modified couple stress theory”, Nonlinear
Dynamics, 2020, 99, 919–943, material of which has been used in Chap. 8.
Chapter 4 is based on the paper V. A. Krysko, J. Awrejcewicz, I. V. Papkova,
O. A. Saltykova, A. V. Krysko, “On reliability of chaotic dynamics of two
Euler-Bernoulli beams with a small clearance”, International Journal of
Non-Linear Mechanics, 104, 2018, 8–18 (licence 4858731296328).
Chapter 6 is based on the papers: A. V. Krysko, J. Awrejcewicz, M. V. Zhigalov,
S. P. Pavlov, V. A. Krysko, “Nonlinear behaviour of different flexible size-dependent
beams models based on the modified couple stress theory. Part 1. Governing equations and static analysis of flexible beams”, International Journal of Non-Linear
Mechanics, 93, 2017, 96–105 (licence 4858731357453) and A. V. Krysko,
J. Awrejcewicz, M. V. Zhigalov, S. P. Pavlov, V. A. Krysko, “Nonlinear behaviour of
different flexible size-dependent beams models based on the modified couple stress
theory. Part 2. Chaotic dynamics of flexible beams”, International Journal of
Non-Linear Mechanics, 93, 2017, 106–121 (licence 4858731418376).
Chapter 7 is based on the papers: J. Awrejcewicz, A. V. Krysko, S. P. Pavlov,
M. V. Zhigalov, V. A. Krysko, “Chaotic dynamics of size-dependent Timoshenko
beams with functionally graded properties along their thickness”, Mechanical
Systems and Signal Processing, 93, 2017, 415–430 (licence 4865190257673),
J. Awrejcewicz, A. V. Krysko, S. P. Pavlov, M. V. Zhigalov, V. A. Krysko,
“Stability of the size-dependent and functionally graded curvilinear Timoshenko
beams”, Journal of Computational and Nonlinear Dynamics, 12(4), 2017, 041018
(licence 1047522-1), A. V. Krysko, J. Awrejcewicz, I. E. Kutepov, V. A. Krysko,
“Stability of curvilinear Euler-Bernoulli beams in temperature fields”, International
Journal of Non-Linear Mechanics, 94, 2017, 207–215 (licence 4858620136357)
and A. V. Krysko, J. Awrejcewicz, S. P. Pavlov, M. V. Zhigalov, V. A. Krysko,
“Mathematical model of a three-layer micro- and nanobeams based on the
hypotheses of the Grigolyuk-Chulkov and the modified couple stress theory”,
International Journal of Solids and Structures, 117, 2017, 39–50 (licence
4858611485608).
Chapter 9 is based on the papers: A. V. Krysko, J. Awrejcewicz, S. P. Pavlov,
K. S. Bodyagina, V. A. Krysko, “Topological optimization of thermoelastic composites with maximized stiffness and heat transfer”, Composites Part B, 2019, 158,
319–327 (licence 4860611503624) and A. V. Krysko, J. Awrejcewicz, S. P. Pavlov,
K. S. Bodyagina, M. V. Zhigalov, V.A. Krysko, “Non-linear dynamics of
size-dependent Euler-Bernoulli beams with topologically optimized microstructure
and subjected to temperature field”, International Journal of Non-Linear Mechanics,
104, 2018, 75–86 (licence 4858620075449).
We greatly appreciate the help and support of the Editors Holm Altenbach and
Andreas Öchsner.
Preface
vii
under full open access (Chaps. 3 and 5).
The same holds for the paper J. Awrejcewicz, V. A. Krysko, S. Pavlov,
M. V. Zhigalov, L. A. Kalutsky, A. V. Krysko, “Thermoelastic vibrations of a
Timoshenko microbeam based on the modified couple stress theory”, Nonlinear
Dynamics, 2020, 99, 919–943, material of which has been used in Chap. 8.
Chapter 4 is based on the paper V. A. Krysko, J. Awrejcewicz, I. V. Papkova,
O. A. Saltykova, A. V. Krysko, “On reliability of chaotic dynamics of two
Euler-Bernoulli beams with a small clearance”, International Journal of
Non-Linear Mechanics, 104, 2018, 8–18 (licence 4858731296328).
Chapter 6 is based on the papers: A. V. Krysko, J. Awrejcewicz, M. V. Zhigalov,
S. P. Pavlov, V. A. Krysko, “Nonlinear behaviour of different flexible size-dependent
beams models based on the modified couple stress theory. Part 1. Governing equations and static analysis of flexible beams”, International Journal of Non-Linear
Mechanics, 93, 2017, 96–105 (licence 4858731357453) and A. V. Krysko,
J. Awrejcewicz, M. V. Zhigalov, S. P. Pavlov, V. A. Krysko, “Nonlinear behaviour of
different flexible size-dependent beams models based on the modified couple stress
theory. Part 2. Chaotic dynamics of flexible beams”, International Journal of
Non-Linear Mechanics, 93, 2017, 106–121 (licence 4858731418376).
Chapter 7 is based on the papers: J. Awrejcewicz, A. V. Krysko, S. P. Pavlov,
M. V. Zhigalov, V. A. Krysko, “Chaotic dynamics of size-dependent Timoshenko
beams with functionally graded properties along their thickness”, Mechanical
Systems and Signal Processing, 93, 2017, 415–430 (licence 4865190257673),
J. Awrejcewicz, A. V. Krysko, S. P. Pavlov, M. V. Zhigalov, V. A. Krysko,
“Stability of the size-dependent and functionally graded curvilinear Timoshenko
beams”, Journal of Computational and Nonlinear Dynamics, 12(4), 2017, 041018
(licence 1047522-1), A. V. Krysko, J. Awrejcewicz, I. E. Kutepov, V. A. Krysko,
“Stability of curvilinear Euler-Bernoulli beams in temperature fields”, International
Journal of Non-Linear Mechanics, 94, 2017, 207–215 (licence 4858620136357)
and A. V. Krysko, J. Awrejcewicz, S. P. Pavlov, M. V. Zhigalov, V. A. Krysko,
“Mathematical model of a three-layer micro- and nanobeams based on the
hypotheses of the Grigolyuk-Chulkov and the modified couple stress theory”,
International Journal of Solids and Structures, 117, 2017, 39–50 (licence
4858611485608).
Chapter 9 is based on the papers: A. V. Krysko, J. Awrejcewicz, S. P. Pavlov,
K. S. Bodyagina, V. A. Krysko, “Topological optimization of thermoelastic composites with maximized stiffness and heat transfer”, Composites Part B, 2019, 158,
319–327 (licence 4860611503624) and A. V. Krysko, J. Awrejcewicz, S. P. Pavlov,
K. S. Bodyagina, M. V. Zhigalov, V.A. Krysko, “Non-linear dynamics of
size-dependent Euler-Bernoulli beams with topologically optimized microstructure
and subjected to temperature field”, International Journal of Non-Linear Mechanics,
104, 2018, 75–86 (licence 4858620075449).
We greatly appreciate the help and support of the Editors Holm Altenbach and
Andreas Öchsner.
Preface
vii