Deformation and Destruction of Materials and Structures Under Quasi-static and Impulse Loading PDF
Preview Deformation and Destruction of Materials and Structures Under Quasi-static and Impulse Loading
Advanced 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 Thisworkissubjecttocopyright.AllrightsaresolelyandexclusivelylicensedbythePublisher,whether thewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuse ofillustrations,recitation,broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,and transmissionorinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilar ordissimilarmethodologynowknownorhereafterdeveloped. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthors,andtheeditorsaresafetoassumethattheadviceandinformationinthisbook arebelievedtobetrueandaccurateatthedateofpublication.Neitherthepublishernortheauthorsor theeditorsgiveawarranty,expressedorimplied,withrespecttothematerialcontainedhereinorforany errorsoromissionsthatmayhavebeenmade.Thepublisherremainsneutralwithregardtojurisdictional claimsinpublishedmapsandinstitutionalaffiliations. ThisSpringerimprintispublishedbytheregisteredcompanySpringerNatureSwitzerlandAG Theregisteredcompanyaddressis:Gewerbestrasse11,6330Cham,Switzerland 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
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