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Mechanical Stress Relaxation in Complex Materials After High Speed Collisions

XIII. International Conference on Khariton’s Topical Scientific Readings , March 14-18, 2011, Sarov , Russia „ Extreme State of Substance . Detonation . Shock Waves .” Session 3. – Dynamic Strength of Materials.

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Mechanical Stress Relaxation in Complex Materials After High Speed Collisions

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  1. XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia „ExtremeState of Substance. Detonation. ShockWaves.” Session 3. – DynamicStrength of Materials * XIIIХАРИТОНОВСКИЕ ТЕМАТИЧЕСКИЕ НАУЧНЫЕ ЧТЕНИЯ * М Е Ж Д У Н А Р О Д Н А Я К О Н Ф Е Р Е Н Ц И Я MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions Dr. László A. Gömze1, University of Miskolc, Miskolc, HungaryMilla Gömze2, IGREX Engineering Service Ltd. Igrici, Hungary1femgomze@uni-miskolc.hu2igrex2009@yandex.ru Tel.: +36 30 746 2714 Tel.: +36 30 746 2713

  2. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia OurAims • Understandthephenomena of highspeedcollisionsofbodies made fromdifferentmaterials. • Analysethemechanicalmodel of hetero-modulus and hetero-viscouscomplexmaterialsandtheirbehaviorduringandafterhighspeed (u≈1000 m/sec orhigher) collisions. • Onthebasis of ceramicsdevelophetero-modulus and hetero-viscouscomplexmaterialssystemscapableendurehighspeedcollisionswithflyingmetallic and otherobjectswithoutdamages. MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  3. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia TypicalDestructionof CeramicCompositesUnderHighSpeed (HS) Collisions (u≥1000 m/sec) Typicaldestruction of ceramiccomposites (L=3 mm) duringhighspeedcollision Typicaldestruction of ceramiccomposites (L=4 mm) duringhighspeedcollisions MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  4. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia The EnergyConception of HS Collisions • WK = WE + WH+ WP+ WS + WV,[Nm](1) • WE:Energyengorgementthroughelasticdeformation , [Nm]. • WH: Energyengorgementthroughheating and recrystallization (phasetransformation), [Nm]. • WK:Kineticenergy of flyingobject, [Nm]. • WP:Fractureenergyengorgementthroughpressurestress, [Nm]. • WS:Fractureenergyengorgementthroughshearstress, [Nm]. • WV:Energyengorgementthroughviscousdeformation, [Nm]. MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  5. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia The EnergyEngorgementThroughFracturesand Deformation of TraditionalMaterials and Ceramics • Materialhas onlyoneYoung’s modulus (E=const.) • Flying (hit) object has inhomogeneousdensity (ρ≠const.) ν1:the Poisson ratio ρi:density of the „i-th”componentofflyingobject; [kg/m3] A1iandA2i:surfaces of fracturescausedby „i-th” densitycomponentofflyingobject [m2] i=1, 2, …, n:thenumber of differentdensitycomponentsofflyingobject l1iand l2i:deep and „movement” of fractures,causedby „i-th” densitycomponentofflyingobject [m] RPand RS:thepressure and shearstrength of ceramic body [N/m2] Vi:volume of „i-th”componentofflyingobject [m3] (2) MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  6. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia Advantages of Hetero-ModulusMaterials • Multiplevalues of Young’s modulus • Highdamagetolerance • Abilitytoabsorb and dissipatetheelasticenergyduringcrackpropagation • Goodthermalshockresistance MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  7. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia The EnergyEngorgementThroughFractures and Deformationof Hetero-ModulusMaterials • Materialhas severalYoung’s modulus (E=var.) • Flying (hit) object has inhomogeneousdensity (ρ≠const.) (3) νj:the Poisson ratio of „j-th” Young’s modulus component of hetero-modulus body [m3] ρi:density of the „i-th” componentofflyingobject; [kg/m3] A1j and A2j:surface of fracturesof „j-th” Young’s modulus component of hetero-modulus body [m2] A3j: surface of deformed „j-th” Young’s modulus component of hetero-modulus body [m2] Ej:The Young’s modulus of the „j-th” componentofhetero-modulus body ; [N/m2] i=1, 2, …, n:thenumber of differentdensitycomponentsofflyingobject j=1, 2, …, n:thenumber of differentYoung’s modulus components of hetero-modulus body l1jand l2j:deep and „movement” of fracturesof „j-th” Young’s modulus component of hetero-modulus body [m] l3j: Size of deformationof „j-th” Young’s modulus component of hetero-modulus body [m] RPjand RSj:thepressureandshearstrength of „j-th” Young’s modulus component of hetero-modulus body [N/m2] Vi:volume of „i-th” componentofflyingobject [m3] MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  8. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia The Thermic Part of theCollisionEnergy • WH = WHS + WRC + WRM ,[Nm](4) • WH:Energyengorgementthroughheating, [Nm] • WHS: Energyengorgement of thermaldeformationinplace and surroundingof thecollision and fall; [Nm] • WRC: Energyengorgementthroughrecrystallization of particlesinplace and surrounding of collision and fall; [Nm] • WRM: Energyengorgementthroughspraying and recrystallizationof falling(metallic) body [Nm] MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  9. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia Advantages of Hetero-Modulus and Hetero-Viscous ComplexMaterials • Highdamagetolerance • Higherdeformationtolerance • Abilitytoabsorb and dissipatethecollisionenergy • Relaxbytimemechanicalstressdevelopedin body duringhighspeedcollisions. MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  10. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia SomeComplexMaterialsHavingExcellentDynamicStrength Automobiletyres Asphaltmixtures Ceramics made fromhetero-modulus and hetero-viscousparticles MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  11. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia The EnergyEngorgementThroughFractures and Deformationof Hetero-Modulusand Hetero-ViscousComplexMaterials • Complexmaterialhas severalYoung’s modulus (E=var.) and viscosity (η=var.) • Flying (hit) object has inhomogeneousdensity (ρ≠const.) (5) ρi:density of the „i-th” componentofflyingobject; [kg/m3] A1j and A2j:surface of fracturesof „j-th” Young’s modulus component of hetero-modulus body [m2] A3j: surface of deformed „j-th” Young’s modulus component of hetero-modulus body [m2] Ej:The Young’s modulus of the „j-th” componentofhetero-modulus body ; [N/m2] i=1, 2, …, n:thenumber of differentdensitycomponentsofflyingobject j=1, 2, …, n:thenumber of differentYoung’s modulus components of hetero-modulus body l1jand l2j:deep and „movement” of fracturesof „j-th” Young’s modulus component of hetero-modulus body [m] l3j: Size of deformationof „j-th” Young’s modulus component of hetero-modulus body [m] RPjand RSj:thepressureandshearstrength of „j-th” Young’s modulus component of hetero-modulus body [N/m2] Vi:volume of „i-th” componentofflyingobject [m3] MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  12. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia MechanicalModel of ComplexMaterialsWeWanttoDevelopUsingNanoceramicsand CMCs • • • = MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  13. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia ShearStressesinHetero-Modulus and Hetero-ViscousComplexMaterials (6) Where: η1,η2and ηe: viscosities of elasto-viscoplastic, elasto-viscousparts and effectiveviscosity of thehybridhetero-modulus, hetero-viscous body τ0and τ: staticyieldpoint of body and shearstressdevelopedduringdeformationanddestructioninthematerial nτand nγ: stressrelaxationtime and delaytime of elasticdeformation τ and τ : first and secondderivatives of shearstressesdevelopedinhetero-modulus and hetero-viscousceramicand CMC bodiesduringhighspeedcollisonwithflyingobjects . .. MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  14. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia The EffectiveViscosity of Hetero-Modulus and Hetero-viscousComplexMaterials (7) Where: η1,and η2: viscosities of elasto-viscoplastic, elasto-viscouspartsofhybridhetero-modulus, hetero-viscous body τ0: yieldstressdevelopedduringdeformation and destructioninthematerial nτand nγ:stressrelaxationtime and delaytime of elasticdeformation γ, γand γ : first, second and thirdderivatives of deformationgradients . .. … MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  15. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia Involving Following New Symbols (8.1) (8.2) (8.3) (8.4) (8.5) MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  16. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia Transcription of Eq. (6) Usingthe New SymbolsforMaterialCharacteristics (9.1) If: (9.2) (9.3) From where: (9.4) (9.5) (9.6) MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  17. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia The General Equation of Shear Stress Relaxation in Complex Hetero-Modulus and Hetero-Viscous Ceramics after High Speed Collision (10) Where: C1 and C2: constants of integration MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  18. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia The StressRelaxationintheHetero-Modulus and Hetero-ViscousCMCsandComplexMaterial Systems After HS Collision (11) MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  19. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia RawMaterialPowdersforDevelopment of Alumina-basedHetero-modulus and Hetero-ViscousCMCs Atomizerpowders • Particlesizedistributions: MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  20. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia Microstructure of UsedCeramicRawMaterials and Principle of TheirCompaction • Principle of thedevelopedcompactingmethodwith HS flyingpunches: (v≥1000 m/s) MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  21. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia OurPrincipleof CompactionUsing HS FlyingPunchesCould Be Adapted (Wastakenfrom Prof. Bragov and hisgroupatState University of Nizny Novgorod) MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  22. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia AchievedMicrostructuresAfterDynamicCompacting Phasetransformation and crystalgrowth of Al2O3componentsduringdynamiccompactionsinvacuum Phasetransformation of Si3N4particles and c-Si3N4diamondcrystalsdevelopmentduringdynamiccompactionsinvacuumednitrogen MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  23. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia Conclusions • Using the advantageous of highenergydynamic compacting methods with high speed flying punches, at the places and surroundings of hits and collisions new, cubic c-Si3N4diamondparticles havebeendeveloped with spinel crystallinestructures. • Understanding the mechanicalphenomenain the collisions under high speeds and advantageous of hetero-modulusand hetero-viscouscomplexmaterials having several Young’s modulus simultaneously, newaluminamatrixceramiccomposite material was developed, reinforced with submicron and nanoparticles of AlN, Si2ON2, SiAlONand c-Si3N4diamondparticles. • Understandingtheenergyengorgementduringhighspeedcollisionswecouldmathematicallydescribed (Eq. 10. and 11.) therelaxation of themechanicalstresseshavedevelopedinthehetero-modulus and hetero-viscouscomplexmaterialsduringthecollisions. ○ MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  24. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia Acknowledgement The authors acknowledge to IGREXEngineeringService Ltd. for technical and financialsupport ofthispresentedresearch for several years and to theyoung colleaguesand PhD students attheDepartment of Ceramicsand Silicate Engineering intheUniversity of Miskolc (Hungary) for laboratory tests and assistances. ○ MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.hu http://keramia.uni-miskolc.hu igrex2009@yandex.ru

  25. Session 3. – DynamicStrength of Materials XIII. International ConferenceonKhariton’sTopicalScientificReadings, March 14-18, 2011, Sarov, Russia Thank you very much for your time and kind attention ! László A. Gömze University of Miskolc 3515, Miskolc, Hungary femgomze@uni-miskolc.hu Phone: +36 30 7462714 Liudmila N. Gömze Igrex Ltd. 3459, Igrici, Hungary igrex2009@yandex.ru Phone: +36 30 7462713 http://keramia.uni-miskolc.hu http://www.szte.org.hu/folyoirat MechanicalStressRelaxationinComplexMaterialsAfterHighSpeedCollisions femgomze@uni-miskolc.huhttp://keramia.uni-miskolc.hu igrex2009@yandex.ru

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