Table Of ContentLecture Notes in Mechanical Engineering
D. A. Indeitsev
A. M. Krivtsov Editors
Advanced
Problems in
Mechanics
Proceedings of the XLVII International
Summer School-Conference “Advanced
Problems in Mechanics”, June 24–29,
2019, St. Petersburg, Russia
Lecture Notes in Mechanical Engineering
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D. A. Indeitsev A. M. Krivtsov
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Editors
Advanced Problems
in Mechanics
Proceedings of the XLVII International
“
Summer School-Conference Advanced
” –
Problems in Mechanics , June 24 29, 2019,
St. Petersburg, Russia
123
Editors
D.A.Indeitsev A.M.Krivtsov
IPME RAS,Peterthe Great St.Petersburg IPME RAS,Peterthe Great St.Petersburg
Polytechnic University Polytechnic University
Saint-Petersburg, Russia Saint-Petersburg, Russia
ISSN 2195-4356 ISSN 2195-4364 (electronic)
Lecture Notesin MechanicalEngineering
ISBN978-3-030-49881-8 ISBN978-3-030-49882-5 (eBook)
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Contents
Influence of the Sperm Velocity on Fertilization Capacity
in the Oscillatory Model of Mouse Zona Pellucida. . . . . . . . . . . . . . . . . 1
Andjelka Hedrih, Ana Mitrovic-Jovanovic, and Mihailo Lazarevic
ParameterDeterminationofMetamaterialsinGeneralizedMechanics
as a Result of Computational Homogenization. . . . . . . . . . . . . . . . . . . . 22
Bilen Emek Abali and Hua Yang
A Model of Hydraulic Fractured Horizontal Well for Debit
Computation of Slanged Gas and Oil. . . . . . . . . . . . . . . . . . . . . . . . . . . 32
Igor Abramov and Maksim Simonov
Double Aging of Heat-Treated Aluminum Alloy of (7075) and (6061)
to Increase the Hardness Number . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
Suleiman E. Al-Lubani and Ahmad I. Ateyat
TheDefinitionofDamageParameterChangesfromtheExperimental
High-Temperature Creep Curves. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
A. R. Arutyunyan, R. A. Arutyunyan, and R. R. Saitova
EvaluationCriteriafortheWearResistanceofHigh-ChromiumSteels... 60
S. A. Atroshenko
Moving Web and Dynamic Problem of Aerothermoelastic Vibrations
and Instability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
Nikolay Banichuk, Svetlana Ivanova, and Juha Jeronen
New Ansatzes for Solution of Nonlinear Nonautonomous
Klein-Fock-Gordon Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
A. N. Bulygin and Yu. V. Pavlov
Development of the Legs Fixation Mechanism for Lokomat Therapy
Training Device . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
Andrei Dolgirev and Natalia Maltseva
v
vi Contents
Modeling of the Superelastic Behavior of CuAlNi - Single Crystals
Accounting Anisotropy of Elastic Properties . . . . . . . . . . . . . . . . . . . . . 93
Tatiana Y. Chernysheva, Margarita E. Evard, Aleksandr E. Volkov,
and Fedor S. Belyaev
Experimental Investigations of 3D-Deformations in Additively
Manufactured Pantographic Structures . . . . . . . . . . . . . . . . . . . . . . . . . 101
Gregor Ganzosch, Emilio Barchiesi, Rafal Drobnicki, Aron Pfaff,
and Wolfgang H. Müller
Fatigue Reliability of Structures: Methodology of Assessment
and Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
Ruslan V. Guchinsky and Sergei V. Petinov
Inhomogeneous Distribution of Thermal Characteristics
in Harmonic Crystal. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124
Mikhail A. Guzev, Vladimir M. Sadovskii, and Chengzhi Qi
Dynamics of the Microresonator in the Regime
of Supercritical Compression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139
Vasilisa Igumnova, Lev Shtukin, Alexey Lukin, and Ivan Popov
Design and Simulation of an Acoustic Metamaterial Plate
Incorporating Tunable Shape Memory Cantilever Absorbers . . . . . . . . 152
Hua-Liang Hu, Yi-Ting Wu, Ji-Wei Peng, and Chun-Ying Lee
A New Class of Optimization Problems Related to Structural
Control by Contact Interaction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163
István Páczelt and Zenon Mróz
On Crack Propagation in a Two-Component Thermally
Reinforced Pipe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179
Alexander Maksimov and Yulia Pronina
Rock Fracture During Oil Well Perforation. . . . . . . . . . . . . . . . . . . . . . 185
Evgenii Riabokon, Mikhail Turbakov, Evgenii Kozhevnikov,
Vladimir Poplygin, and Marian Wiercigroch
Cavity Flow of Nematic Liquid Crystals – A Parameter Study . . . . . . . 193
Wilhelm Rickert and Wolfgang H. Müller
HEDE Model vs Inner Pressure Model in Calculating the Strength
of Hydrogenated Metals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206
Julia Sedova, Vladimir Polyansky, and Ivan Popov
The Influence of Balcony Greening of High-Rise Buildings on Urban
Wind and Thermal Environment: A Case of an Ideal City . . . . . . . . . . 213
Ying-Ming Su and Chiao-Jou Hsieh
Contents vii
Contour Convergence Regularities for Openings in Coal. . . . . . . . . . . . 222
Vitaly A. Trofimov and Yury A. Filippov
On Finite Element Analysis in Generalized Mechanics. . . . . . . . . . . . . . 233
Hua Yang, Bilen Emek Abali, and Wolfgang H. Müller
Model of the Effect of Low Natural Concentrations of Hydrogen
on Cylindrical Steel Samples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246
Aleksandr Zegzhda and Vladimir Polyansky
Calculation of the Activation Energies of Hydrogen in Titanium
Manufactured with 3D Printing Technology by Means
of a Multichannel Diffusion Model. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 256
P. A. Zumberov, Yu. A. Yakovlev, and V. A. Polyanskiy
Author Index.. .... .... .... ..... .... .... .... .... .... ..... .... 265
Influence of the Sperm Velocity on Fertilization
Capacity in the Oscillatory Model of Mouse
Zona Pellucida
Andjelka Hedrih1(&), Ana Mitrovic-Jovanovic2,3,
and Mihailo Lazarevic4
1 Department of Mechanics, MathematicalInstitute of Serbian
Academyof Sciences andArts, Belgrade, Serbia
[email protected]
2 School ofMedicine, University of Belgrade, Belgrade, Serbia
3 Clinics for Gynecology andObstetrics “Narodni Front”Belgrade, Belgrade,
Serbia
4 Faculty ofMechanical Engineering, University of Belgrade, Belgrade, Serbia
Abstract. Considering the fertilization process as an oscillatory phenomenon,
basedonmechanotransductiontheoryofsperm–oocyteinteraction,influenceof
spermvelocityandtheirspecificarrangementonoutersurfaceofoocyte-Zona
pellucida (ZP) relative to the oscillatory behavior of ZP was studied using
discrete continuum oscillatory spherical net model of mouse ZP. For the cal-
culatedfavorableimpactanglesofspermatozoabyusinggeneralizedLissajous
curves, a parametric frequency analysis of oscillatory behavior of the knot
moleculesinthemouseZPsphericalnetmodelisconducted.Inordertomimic
successfulfertilizationinphysiologicalconditionsinthisnumericalexperiment,
velocities of the progressive and hyperactivated spermatozoa were used. The
resultanttrajectoriesofknotmoleculesinmouseZP(mZP)sphericalnetmodel,
in the form of generalized Lissajous curves, are presented. Influences of the
sperm velocity and its arrangement on the resultant trajectory of the corre-
sponding knot molecules are discussed. Component displacements in the
meridianandcirculardirectionsoftheknotmoleculesofZPareintheformof
multi-frequencyoscillations.Symmetricalarrangementsofspermatozoahaving
effective velocities are more favorable for achieving a favorable oscillatory
multi-frequency state of mZP for a successful fertilization. Determining the
optimal parameters of spermatozoa impact that will induce a ZP favorable
oscillatory state opens the possibilities for more complete explanation of the
fertilization process.
(cid:1) (cid:1)
Keywords: Zona pellucida Discrete oscillatory spherical net model
(cid:1) (cid:1) (cid:1)
Oscillations Lissajous curves Spermvelocity Spermarrangement
©SpringerNatureSwitzerlandAG2020
D.A.IndeitsevandA.M.Krivtsov(Eds.):APM2019,LNME,pp.1–21,2020.
https://doi.org/10.1007/978-3-030-49882-5_1
2 A.Hedrihet al.
1 Introduction
Thisstudy utilizes theoscillatory model proposedfor fertilization by[1,2].Acellular
response to a mechanical stimulus could be evaluated by cell-stretching device [3] as
well as by atomic force microscope [4] and micropipette aspiration technique [5] and
micro-tactile sensor [6].
VelocityofspermatozoaandtheirdistributionontheZPsurfacesignificantlyaffect
mice’s zona pellucida (ZP) oscillatory behaviour. Furthermore, since velocity is
directlyrelatedwithsuccessoffertilization,swimmingvelocityandparametershaving
influence on it are considered in this study. A basic description of the ZP oscillatory
mechanical net model is presented in Sect. 1. along with a brief explanation on why
distribution of spermatozoa has effect on oscillatory behaviour of ZP.
1.1 Importance of Sperm Velocity for Fertilization Success
Mouse spermatozoa are very vulnerable cells. After ejaculation, their life span in
female reproductive tract is limited. During their chemotactical, rheotactical, and
thermotactical [7] movement in female reproductive tract, some of them will pass
through complex metabolic and structural changes, becoming fertilization-competent
[8]. As ejaculate contains spermatozoa of different stage of maturation, only a small
fraction (on average, about 10%) is chemotactically responsive and represents capac-
itated (mature) spermatozoa [9] “which maximum rate matched exactly the male
gonadosomatic index of the species” [10].
Sperm competition thus favors a larger population of spermatozoa that are com-
petenttofertilize,andspermatozoathataremoresensitivetothesignalsemittedbythe
ovumandundergotheacrosomereactionduringfertilization[11].Centolaetal.in[12]
confirm the declining tendency in sperm concentration, total count, and total motile
count in human semen over the then year period in sperm donors with stable or
improved demographic and lifestyle factors [12].
Capacitation process consists of several biochemical and functional modifications
of sperm cells that enable the sperm to undergo both the acrosome reaction and
hyperactivation (HA). HA is a functional change in the sperm movement pattern in a
form of relatively progressive motion with high-amplitude flagellar bending [13]. In
hyperactivatedspermatozoalinearity,amplitudeoflateralheaddisplacementbeatcross
frequency and average wavelength gradually change with time [14]. HA movement
pattern givesdirectmechanicaladvantagetospermatozoa,permittingtheirpenetration
throughaviscousmedium. HAalsofacilitatespenetrationofspermatozoathroughthe
zonapellucida(ZP)[10,13]andcouldbeinfluencedbydifferentfactors:cumuluscells
thatentertheampullawiththeoocyte[15],progesterone(adose-dependentstimulation
of HA) [13]. Acrosome reaction must be timed precisely, because both premature and
delayedacrosomereactionswillpreventspermfrompenetratingthecumulusoophorus
and adhering to the ZP [10].
The oviduct appears to influence the extracellular matrix properties of the sper-
matozoaaswellastheCumulusOophorusComplexthatisofinterestinZP-cumulus-
sperm interaction [16]. Spermatozoa that reach the ZP first will have a chance to
interact with ZP molecules and one of them will have a chance to fertilize the oocyte.
