Table Of ContentAdvanced Structured Materials
Holm Altenbach
Victor A. Eremeyev
Leonid A. Igumnov
Anatoly Bragov Editors
Deformation
and Destruction
of Materials and
Structures Under
Quasi-static and
Impulse Loading
Advanced Structured Materials
Volume 186
SeriesEditors
AndreasÖchsner,FacultyofMechanicalEngineering,EsslingenUniversityof
AppliedSciences,Esslingen,Germany
LucasF.M.daSilva,DepartmentofMechanicalEngineering,Facultyof
Engineering,UniversityofPorto,Porto,Portugal
HolmAltenbach ,FacultyofMechanicalEngineering,OttovonGuericke
UniversityMagdeburg,Magdeburg,Sachsen-Anhalt,Germany
Commonengineeringmaterialsarereachingtheirlimitsinmanyapplications,and
new developments are required to meet the increasing demands on engineering
materials. The performance of materials can be improved by combining different
materials to achieve better properties than with a single constituent, or by shaping
the material or constituents into a specific structure. The interaction between
materialandstructurecanoccuratdifferentlengthscales,suchasthemicro,meso,
ormacroscale,andofferspotentialapplicationsinverydifferentfields.
This book series addresses the fundamental relationships between materials and
theirstructureonoverallproperties(e.g.,mechanical,thermal,chemical,electrical,
or magnetic properties, etc.). Experimental data and procedures are presented, as
well as methods for modeling structures and materials using numerical and
analyticalapproaches.Inaddition,theseriesshowshowthesematerialsengineering
and design processes are implemented and how new technologies can be used to
optimizematerialsandprocesses.
AdvancedStructuredMaterialsisindexedinGoogleScholarandScopus.
· ·
Holm Altenbach Victor A. Eremeyev
·
Leonid A. Igumnov Anatoly Bragov
Editors
Deformation and Destruction
of Materials and Structures
Under Quasi-static
and Impulse Loading
Editors
HolmAltenbach VictorA.Eremeyev
FakultätfürMaschinenbau DipartimentodiIngegneriacivile,
InstitutfürMechanik ambientaleearchitettura
Otto-von-Guericke-Universität UniversitàdegliStudidiCagliari
Magdeburg,Germany Cagliari,Italy
LeonidA.Igumnov AnatolyBragov
NationalResearchLobachevskyState NationalResearchLobachevskyState
University University
NizhnyNovgorod,Russia NizhnyNovgorod,Russia
ISSN 1869-8433 ISSN 1869-8441 (electronic)
AdvancedStructuredMaterials
ISBN 978-3-031-22092-0 ISBN 978-3-031-22093-7 (eBook)
https://doi.org/10.1007/978-3-031-22093-7
©TheEditor(s)(ifapplicable)andTheAuthor(s),underexclusivelicensetoSpringerNature
SwitzerlandAG2023
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Preface
This book is dedicated to the 100th birthday of Andrey Grigorievich Ugodchikov,
whowasoneoftheleadingspecialistsinmechanicsoftheSovietUnionandRussia,
an expert in the field of apparatus and machine strength. A talented scientist and
engineer,teacherandorganizerA.G.Ugodchikovhadmanycontributionstoboththe
developmentofmechanicsingeneralandappliedproblemsofstrengthinparticular
as well as to the education of scientific and academic staff. He created in Nizhny
Novgorod a well-known in Russia and abroad multidisciplinary scientific school
ofmechanicsontheoreticalandappliedproblemsofstrengthofmachine-building
structuresundermultifactoreffectsofhighparameters.
A.G.Ugodchikovperformedagreatscientificandorganizationalactivitybeing
the rector of Gorky (now Nizhny Novgorod) University from 1969 to 1988. He
laid foundations for the successful development of the university, its material and
scientificbase,forthegrowthofhigh-qualifiedscientificandacademicstaff,andfor
broadeningthehorizonsofresearchworkthusallowingtheuniversitytoconfidently
occupyitsplaceamongthekeynationalresearchuniversitiesinRussia.
Research activities of A. G. Ugodchikov began with the methods of the theory
of functions of a complex variable for solving a fairly wide range of problems
in the plane theory of elasticity—Muskhelishvili’s method of complex potentials.
This elegant method allows one to find a solution to the formulated problem for
the given boundary shape and boundary conditions when there is a function that
conformallymapsacircleontoasimplyconnecteddomainoccupiedbyanelastic
medium. A. G. Ugodchikov managed to solve complex applied problems on the
stress-strainstateofdieselenginecomponents.Hekeptlifespaninteresttothedevel-
opmentofthemethodsofcomplexpotentialsandgeneralizedanalyticalfunctionsfor
solvingappliedproblems.Hisfirstinvestigationshadalreadynecessitatedcomputer
modelingofproblemsinthemechanicsofdeformablesolid.Thisapproachbecame
for him and his students a specific feature of the emerging school of specialists in
strengthmechanicsinNizhnyNovgorod.
TheresearchareaofA.G.Ugodchikovexpandedduringhislongcreativelifeand
theresultsofhisresearchworkarenoticeableinthefollowingscientificdirections
v
vi Preface
(cid:129)
Theoreticalandexperimentalfoundationsofquasi-staticdeformationofelastic-
plasticviscoplasticmaterialsandstructuralelementsmadeofthem,
(cid:129)
Experimentalstudiesofmaterialdeformationandfractureunderquasi-staticand
impulsiveloadingconditions,
(cid:129)
Theoreticalandnumericalmethodsforstudyingthestress-strainstateofelasto-
plasticplatesandshellsunderdynamic,pulsedloadingandtheirinteractionwith
othermedia,
(cid:129)
Theoreticalfoundationsofmethodsforoptimizingdeformablesystemsandmeans
oftheirnumericalimplementation,
(cid:129)
Theoreticalfoundationsofdeformationandfractureofsoliddeformablebodies
underpulsedthermalandforceloadsofhighparameters,
(cid:129)
Theoreticalfoundationsandnumericalmethodsforstudyingthekineticsofstress-
strainstateofdeformablebodiesandstructuralunitsundertheeffectsofhighly
parametricinterdependentfieldsofvariousnature.
Asorganizer,A.G.UgodchikovmanagedtofoundinNizhnyNovgorodaspecial-
izeduniversitydepartment,aresearchinstituteandpreparenumerousfollowersand
studentswhoformedthebasisofuniversityteams.
BelowaregivenalistofselectedpublicationsofAndreyG.Ugochikov
1. UgodchikovA.G.Stressdeterminationwhenpressingseveralroundwashers
intoaplateboundedbyacurveofaparticulartype,Dokl.Akad.NaukSSSR.
1951.Vol.77,No.2.pp.213–216(inRussian)
2. UgodchikovA.G.Oncalculatingmountingstressesinmachine-buildingparts,
AppliedMechanics.1957.Vol.3,No.3.pp.202–207(inRussian)
3. UgodchikovA.G.Tothesolutionofthefirstbasicproblemoftheplanetheory
ofelasticityfordoubly-connecteddomains,Dokl.Akad.NaukoftheUkrainian
SSR.1960.No.11.pp.1480–1484(inRussian)
4. Ugodchikov A. G. To the solution of the generalized biharmonic problem of
theplanetheoryofelasticityfordouble-connecteddomains.Dokl.Akad.Nauk
oftheUkrainianSSR.1961.No.11.pp.1440–1443(inRussian)
5. Ugodchikov A. G. Construction of conformally mapping functions. Kiev:
Naukovadumka.1966(inRussian)
6. UgodchikovA.G.,DlugachM.I.,StepanovA.E.Solutionofboundaryvalue
problems of the plane theory of elasticity on digital and analog machines.
Moscow:Vysshayashkola,1970(inRussian)
7. Ugodnikov A. G., Khutoryansky N. M. The boundary element method in
mechanics of deformable solids. Kazan: KSU Publishing House, 1986, 296
p.(inRussian)
8. UgodchikovA.G.Onequationsofthedynamicsofadeformablesolidbody,
Dokl.Akad.NaukSSSR.1991.Vol.317,No.4(inRussian)
9. UgodchikovA.G.Momentdynamicsofalinearelasticbody.Dokl.RAS,1995,
Vol.340,No.1(inRussian)
10. Malkov V. P., Ugodchikov A. G. Optimization of elastic systems. Moscow:
Nauka,1981(inRussian)
Preface vii
11. Ugodchikov A. G., Korotkikh Yu. G. Some methods for solving physically
nonlinearproblemsinthetheoryofplatesandshellsonEDC.Kiev:Naukova
Dumka,1971(inRussian)
12. Bazhenov V. G., Kochetkov A. V., Mikhailov G. S., Ugodchikov A. G. The
Interactionofelastoplasticthin-walledstructuralelementswithshockwavesin
idealcompressiblemedia,Izv.USSRAcademyofSciences.MTT.1979.No.
2.pp.141–149(inRussian)
13. BazhenovV.G.,KochetkovA.V.,Krylov,S.V.,UgodchikovA.G.High-speed
impact of elasto-plastic thin-walled structures on compressible fluid surface,
Izv.USSRAcademyofSciences.MTT.1984.Vol.5,pp.161–169(inRussian)
14. Ugodchikov A. G., Short, J. G. Some solution methods for EDC physically
nonlinearproblemsoftheplatesandshellstheory.Kiev:Naukovadumka,1971
(inRussian)
15. Ugodchikov A. G., Korotkikh Yu. G. Equations of state under low-cycle
loading(Chap.6:Equationsofthethermoviscoplasticitytheorywithcombined
hardening).Moscow:Nauka,1981.pp.129–167(inRussian)
16. UgodchikovA.G.,KhutoryanskyN.M.Theboundaryelementmethodinthe
mechanics of a deformable solid. Kazan: KSU Publishing House, 1986 (in
Russian)
Magdeburg,Germany HolmAltenbach
Cagliari,Italy VictorA.Eremeyev
NizhnyNovgorod,Russia LeonidA.Igumnov
NizhnyNovgorod,Russia AnatolyBragov
October2022
Contents
1 AReviewofHyperelasticConstitutiveModelsforDielectric
Elastomers ................................................... 1
AminAlibakhshi, ShahriarDastjerdi, MohammadMalikan,
andVictorA.Eremeyev
1.1 Introduction ............................................. 2
1.2 TheoryofDielectricElastomers ............................ 3
1.3 Hyperelasticity ........................................... 4
1.3.1 GeneralFormofHyperelasticity .................... 4
1.3.2 Neo-HookeanModel .............................. 6
1.3.3 GentModel ...................................... 6
1.3.4 Mooney–RivlinModel ............................ 6
1.3.5 Gent–GentModel ................................. 7
1.4 Studies on Dielectric Elastomers Based on the Type
ofHyperelasticModel .................................... 7
1.4.1 StudiesBasedonGentModel ...................... 7
1.4.2 StudiesBasedonNeo-Hookean,Mooney–Rivlin,
andOgdenModels ................................ 9
1.4.3 StudiesBasedonGent–GentModel ................. 10
1.5 Future Works on Nonlinear Elasticity of Dielectric
Elastomers .............................................. 10
1.6 Conclusion .............................................. 11
References .................................................... 11
2 Evolution of the Microstructure of Obstacles from FCC
AlloysUnderHigh-VelocityImpactConditions ................... 19
SvetlanaA.AtroshenkoandGeorgiiG.Savenkov
2.1 Introduction ............................................. 19
2.2 Samples,MaterialsandExperimentalTechnique .............. 20
2.3 ResultsofMicrostructuralStudiesandTheirAnalysis ......... 21
2.3.1 GeneralRemarksandResults ....................... 21
2.3.2 EvolutionofMicrostructureinAluminumAlloy ...... 22
ix
x Contents
2.3.3 MicrostructureEvolutioninStainlessSteel ........... 23
2.3.4 EvolutionofMicrostructureinAluminumBronze ..... 24
2.4 Conclusion .............................................. 26
References .................................................... 26
3 DecompositionofSolutionsofMulticomponentBoundary
Value Problems by Solutions of Single-Component Ones
forthePurposesofNanotechnology ............................. 29
VladimirA.Babeshko, OlgaV.Evdokimova,
andOlgaM.Babeshko
3.1 Introduction ............................................. 30
3.2 BasicEquations .......................................... 31
3.3 DecompositionoftheBoundaryValueProblemSolution
UsingBlockElements .................................... 32
3.4 Conclusion .............................................. 36
References .................................................... 37
4 DeterminationofDynamicInterlayerStrengthProperties
ofLayeredCompositesUsingMeasuringBars ................... 39
ArtemV.Basalin, AnatolyM.Bragov,
andAleksandrYu.Konstantinov
4.1 Introduction ............................................. 40
4.2 DeterminationofInterlayerStrengthatSeparation ............ 41
4.3 DeterminationofInterlayerShearStrengthbyBending
aShortBeam ............................................ 42
4.4 DeterminationofInterlayerShearStrengthbyCompression
ofSamplesofSpecialShape ............................... 46
4.5 DeterminationoftheInterlayerShearStrengthofthePCM
byExtrusionoftheMiddleoftheParallelepipedSample ....... 49
4.6 ComparativeAnalysisofSchemesforInterlayerShear ......... 51
4.7 Conclusions ............................................. 51
References .................................................... 52
5 DurabilityofHigh-LoadStructures ............................. 55
ValentinS.BondarandDmitryR.Abashev
5.1 Introduction ............................................. 55
5.2 MainProvisionsandEquationsoftheAppliedInelasticity
Theory .................................................. 57
5.3 MaterialFunctionsandFundamentalExperiment ............. 59
5.4 Air-CellDiesel’sDurability ................................ 60
5.5 Low-CycleDurabilityoftheConicalNozzleTip .............. 62
5.6 PredictionofLifeofaPowerGenerationSystem ............. 62
5.7 Conclusion .............................................. 64
References .................................................... 65
