Force, deformation and energy criteria of destruction

Erasov V.S., Oreshko E.I.
Erasov V.S., Oreshko E.I. Force, deformation and energy criteria of destruction // Proceedings of VIAM. 2017. No. 10. DOI: 10.18577/2307-6046-2017-0-10-11-11. URL: https://test.viam.ru/en/journal/2017/10/11
Keywords
potential energy, body volume, free surface of a body, specific work, destruction, deformation.
Abstract

Force, deformation and energy criteria of destruction are considered. It is shown that in elastic area communication between characteristics of destruction has linear character. Size defining criterion is the size of the specific volume energy necessary for education or development of the available surface of destruction. It is thus considered, what not all spent at formation of a new free surface energy goes on formation of a surface. The part of energy dissipates in the form of heat, sound and electromagnetic waves. At the expense of it the body reduces the potential energy and thus resists to further destruction. The destruction model in which a formula Griffitsa is a special case is offered. Work is executed within implementation of the complex scientific direction 3.3. «Technology of forecasting of properties, modeling and implementation of modern processes of designing and production of products from nonmetallic and composite materials with use of the digital methods compatible

Reference list
  1. Kablov E.N. Innovacionnye razrabotki FGUP «VIAM» GNC RF po realizacii «Strategicheskih napravlenij razvitiya materialov i tehnologij ih pererabotki na period do 2030 goda» [Innovative developments of FSUE «VIAM» SSC of RF on realization of «Strategic directions of the development of materials and technologies of their processing for the period until 2030»] // Aviacionnye materialy i tehnologii. 2015. №1 (34). S. 3–33. DOI: 10.18577/2071-9140-2015-0-1-3-33.
  2. Kablov E.N., Grashhenkov D.V., Erasov V.S., Anchevskij I.E. i dr. Stend dlya ispytaniya na klimaticheskoj stancii GCKI krupnogabaritnyh konstrukcij iz PKM [The stand for testing for the GCTC climatic stations of large-size designs from PCM] // Sb. dokl. IX Mezhdunar. nauch. konf. po gidroaviacii «Gidroaviasalon–2012». 2012. S. 122–123.
  3. Kablov E.N., Grinevich A.V., Erasov V.S. Harakteristiki prochnosti metallicheskih aviacionnyh materialov i ih raschetnye znacheniya [Characteristics of durability of metal aviation materials and their calculated values] // 75 let. Aviacionnye materialy. Izbrannye trudy «VIAM» 1932–2007: yubil. nauch.-tehnich. sb. M.: VIAM, 2007. S. 370–379.
  4. Buznik V.M., Kablov E.N., Koshurina A.A. Materialy dlya slozhnyh tehnicheskih ustrojstv arkticheskogo primeneniya [Materials for difficult engineering devices of the Arctic application] // Nauchno-tehnicheskie problemy osvoeniya Arktiki. M.: Nauka, 2015. S. 490.
  5. Oreshko E.I., Erasov V.S., Podzhivotov N.Yu. Vybor shemy raspolozheniya vysokomodulnyh sloev v mnogoslojnoj gibridnoj plastine dlya ee naibolshego soprotivleniya potere ustojchivosti // Aviacionnye materialy i tehnologii. 2014. №S4. S. 109–117. DOI: 10.18577/2071-9140-2014-0-s4-109-117.
  6. Oreshko E.I., Erasov V.S., Podjivotov N.Yu. Vybor shemy raspolozheniya vysokomodulnyh sloev v mnogoslojnoj gibridnoj plastine dlya ee naibolshego soprotivleniya potere ustojchivosti [Arrangement of high-modular layers in a multilayer hybrid plate for its greatest resistance to stability loss] // Aviacionnye materialy i tehnologii. 2014. №S4. S. 109–117. DOI: 10.18577/2071-9140-2014-0-S4-109-117.
  7. Oreshko E.I., Erasov V.S., Podzhivotov N.Yu., Lutsenko A.N. Raschet na prochnost gibridnoj paneli kryla na baze listov i profilej iz vysokoprochnogo alyuminijlitievogo splava i sloistogo alyumostekloplastika [Strength calculation of hybrid wing panel on the basis of sheets and profiles from high-strength aluminum lithium alloy and laminated aluminum fiberglass] // Aviacionnye materialy i tehnologii. 2016. №1 (40). S. 53–61. DOI: 10.18577/2071-9140-2016-0-1-53-61.
  8. Dimitrienko Yu.I., Gubareva E.A., Sborshhikov S.V., Bazyleva O.A., Lucenko A.N., Oreshko E.I. Modelirovanie uprugoplasticheskih harakteristik monokristallicheskih intermetallidnyh splavov na osnove mikrostrukturnogo chislennogo analiza [Modeling of elasto-plastic characteristics of single-crystal intermetallidny alloys on the basis of the microstructural numerical analysis] // Matematicheskoe modelirovanie i chislennye metody. 2015. №2. S. 3–22.
  9. Kollerov M.Yu., Gusev D.E., Oreshko E.I. Eksperimentalno-teoreticheskoe obosnovanie vybora metoda i implantatov dlya ustraneniya voronkoobraznoj deformacii grudnoj kletki [Experimental and theoretical justification of choice of method and implants for elimination of funneled deformation of thorax] // Nauchnye trudy (Vestnik MATI). 2012. №19 (91). S. 331–336.
  10. Oreshko E.I., Erasov V.S., Lucenko A.N. Osobennosti raschetov ustojchivosti sterzhnej i plastin // Aviacionnye materialy i tehnologii. 2016. №4 (45). S. 74–79. DOI: 10.18577/2071-9140-2016-0-4-74-79.
  11. Dimitrienko Yu.I., Lucenko A.N., Gubareva E.A., Oreshko E.I., Sborshhikov S.V., Bazyleva O.A., Turenko E.Yu. Integrirovannaya informacionnaya sistema dlya hraneniya dannyh po svojstvam zharoprochnyh nikelevyh splavov i rascheta ih mehanicheskih harakteristik [The data storage integrated information system on properties of heat resistant nickel alloys and calculation of their mechanical characteristics] // Aviacionnye materialy i tehnologii. 2017. №1 (46). S. 86–94. DOI: 10.18577/2071-9140-2017-0-1-86-94.
  12. Oreshko E.I., Erasov V.S., Lutsenko A.N. Matematicheskoe modelirovanie deformirovaniya konstrukcionnogo ugleplastika pri izgibe [Mathematical modeling of deformation constructional carbon fiber at a bend] // Aviacionnye materialy i tehnologii. 2016. №2 (41). S. 50–59. DOI: 10.18577/2071-9140-2016-2-50-59.
  13. Kollerov M.Yu., Usikov V.D., Kuftov V.S., Gusev D.E., Oreshko E.I. Mediko-tehnicheskoe obosnovanie ispolzovaniya titanovyh splavov v implantiruemyh konstrukciyah dlya stabilizacii pozvonochnika [Medico-technical justification of use of titanium alloys in implanted designs for backbone stabilization] // Titan. 2013. №1 (40). S. 39–45.
  14. Gusev D.E., Kollerov M.Yu., Rudakov S.S., Korolev P.A., Oreshko E.I. Ocenka biomehanicheskoj sovmestimosti implantiruemyh opornyh plastin iz splavov na osnove titana i nikelida titana metodom kompyuternogo modelirovaniya [Оценка биомеханической совместимости имплантируемых опорных пластин из сплавов на основе титана и никелида титана методом компьютерного моделирования] // Titan. 2011. №3 (33). S. 39–44.
  15. Oreshko E.I., Erasov V.S., Lucenko A.N., Terentev V.F., Slizov A.K. Postroenie diagramm deformirovaniya v trehmernom prostranstve σ–ε–t [Creation of the 3D stress-strain diagrams ––t] // Aviacionnye materialy i tehnologii. 2017. №1 (46). S. 61–68. DOI: 10.18577/2071-9140-2017-0-1-61-68.
  16. Kollerov M.Yu., Egorova M.V., Rtishhev S.N., Oreshko E.I. i dr. Eksperimentalno-teoreticheskoe obosnovanie algoritma rannego ortodonticheskogo lecheniya detej s odnostoronnej rasshhelinoj guby i neba nesemnymi apparatami [Experimental and theoretical justification of algorithm of early orthodontic treatment of children with one-sided crevice of lip and the sky fixed devices] // Stomatologiya detskogo vozrasta i profilaktika. 2011. T. 10. №1. S. 23–27.
  17. Antipov V.V., Oreshko E.I., Erasov V.S., Serebrennikova N.Y. Hybrid laminates for application in north conditions // Mechanics of Composite Materials. 2016. Vol. 52. No. 5. P. 973–990.
  18. Oreshko E.I., Erasov V.S., Lucenko A.N. Kriticheskie napryazheniya poteri ustojchivosti v gibridnyh sloistyh plastinah [The critical tension of loss of stability in hybrid layered plates] // Materialovedenie. 2016. №11. S. 17–21.
  19. Erasov V.S., Nuzhnyj G.A., Grinevich A.V. Ob ocenke povrezhdaemosti metallicheskih materialov metodami mehanicheskih ispytanij [About assessment of damageability of metal materials methods of mechanical tests] // Deformaciya i razrushenie materialov. 2015. S. 42–47.
  20. Erasov V.S., Oreshko E.I., Lutsenko A.N. Povrezhdaemost materialov pri staticheskom rastyazhenii [Damageability of materials in tension testing] // Aviacionnye materialy i tehnologii. 2015. №4 (37). S. 91–94. DOI: 10.18577/2071-9140-2015-0-4-91-94.
  21. Griffith A.A. The Phenomenon of Rupture and flow in solids // London Royal Society. 1921. Vol. 221. Ser. A. P. 163–198.
  22. Morozov E.M. Vvedenie v mehaniku razvitiya treshhin: ucheb. posobie [Introduction in mechanics of development of cracks: manual]. M.: MIFI, 1977. S. 36–39.
  23. Erasov V.S., Oreshko E.I. Deformaciya i razrushenie kak processy izmeneniya obema, ploshhadi poverhnosti i linejnyh razmerov v nagruzhaemyh telah [Deformation and destruction as processes of change of volume, the areas of a surface and the linear sizes in loaded bodies] // Trudy VIAM: elektron. nauch.-tehnich. zhurn. 2016. №8. St. 11. Available at: http://www.viam-works.ru (accessed: September 11, 2017). DOI: 10.18577/2307-6046-2016-0-8-11-11.
  24. Erasov V.S., Oreshko E.I., Lucenko A.N. Ploshhad svobodnoj poverhnosti kak kriterij hrupkogo razrusheniya [Area of a free surface as criterion of brittle fracture] // Aviacionnye materialy i tehnologii. 2017. № 2 (47). S. 69–79. DOI: 10.18577/2071-9140-2017-0-2-69-79.
  25. Fridman Ya.B. Mehanicheskie svojstva metallov [Mechanical properties of metals]. M.: Mashinostroenie, 1974. T. 2: Mehanicheskie ispytaniya. Konstrukcionnaya prochnost. S. 232–233.
  26. Terentev V.F., Korableva S.A. Ustalost metallov [Fatigue of metals]. M. Nauka, 2015. S. 68–71.
  27. Kershtejn I.M, Klyushnikov V.D., Lomakin E.V., Shesterikov S.A. Osnovy eksperimental'noj mehaniki razrusheniya [Bases of experimental fracture mechanics]. M.: Izd-vo Mosk. un-ta. 1989. S. 42–46.
  28. Shvechkov E.I. Analiz rossijskih i zarubezhnyh metodov ispytanij na staticheskuyu treshhinostojkost aviacionnyh materialov [The analysis of the Russian and foreign test methods on static crack resistance of aviation materials] // Tehnologiya legkih splavov. 2016. №1. S. 99–106.
  29. GOST 25.506–85. Raschety i ispytaniya na prochnost. Metody mehanicheskih ispytanij metallov. Opredelenie harakteristik treshhinostojkosti (vyazkosti razrusheniya) pri staticheskom nagruzhenii [Calculations and strength tests. Methods of mechanical tests of metals. Definition of characteristics of crack resistance (fracture toughness) at static loading]. M.: Izd-vo standartov, 1985. 61 s.
  30. OST1 90356–84. Metally. Metod opredeleniya staticheskoj treshhinostojkosti (vyazkosti razrusheniya) obshivochnyh materialov pri ploskom napryazhennom sostoyanii [Metals. Method of definition of static crack resistance (fracture toughness) of sheathing materials at flat tension]. M., 1984. 31 s.
  31. OST1 92122–88. Metally. Metod opredeleniya krivoj soprotivleniya rasprostraneniyu treshhiny pri staticheskom nagruzhenii (R-krivoj) obshivochnyh materialov pri ploskom napryazhennom sostoyanii [Metals. Method of definition of curve of resistance to crack distribution at static loading (R-curve) of sheathing materials at flat tension]. M., 1988. 32 s.
  32. ASTM E 561-10. Standard Test Method for K-R Curve Determination. American Society for Testing and Materials, 2010.
  33. Parton V.Z., Morozov E.M. Mehanika uprugoplasticheskogo razrusheniya [Mechanics of elasto-plastic destruction]. M.: Nauka, 1985. S. 134–135.
  34. Zhu X.-K., Joyce J.A. Review of fracture toughness (G, K, J, CTOD, CTOA) testing and standardization // U.S. Navy Research. 2012. Paper 49.
  35. ASTM E 1290-08. Standard Test Method for Crack-Tip Opening Displacement (CTOD) Fracture Toughness Measurement. American Society for Testing and Materials, 2008.
  36. ASTM E 2472-06. Standard Test Method for Determination of Resistance to Stable Crack Extension under Low-Constraint Conditions. American Society for Testing and Materials, 2006.
  37. ASTM E 1820-11. Standard Test Method for Measurement of Fracture Toughness. American Society for Testing and Materials, 2011.
  38. ASTM E 1922-04. Standard Test Method for Translaminar Fracture Toughness of Laminated and Pultruded Polymer Matrix Composite Materials. American Society for Testing and Materials, 2010.