Моделирование затухающей памяти формы траектории в теории простых материалов с упругопластическим поведением и начальной поверхностьюнагружения
DSpace at Ternopil State Ivan Puluj Technical University
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Моделирование затухающей памяти формы траектории в теории простых материалов с упругопластическим поведением и начальной поверхностьюнагружения
Simulation of the path shape fading memory in the theory of elastoplastically-deformed simple materials with initial loading surface |
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| Creator |
Lepikhin, P. P.
Лепихин, П. П. |
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| Contributor |
Институт проблем прочности им.Г.С.Писаренко НАН Украины, Украина
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| Description |
A mathematical theory of strict construction of reduced constitutive relations for Noll’s simple strain-hardening elastoplastic materials with an initial loading surface and a path shape memory fading during the active deformation was developed. The strains and the type of symmetry of the material properties are arbitrary. Constitutive equations were derived for materials without the path shape memory, for those with a weak fading memory, and with an n-th order fading memory. An elastic-perfectly plastic material is defined from the standpoint of the fading memory of path shape. The theory of strict construction of reduced constitutive relations for materials with a 1-st order fading memory of path shape for infinitesimal strains was developed on the assumption that the strain measures are small over the whole history. Special attention is given to isotropic materials. |
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2016-06-05T06:59:24Z
2016-06-05T06:59:24Z 2006-09-25 2006-09-25 |
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Article
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| Identifier |
Лепихин П. П. Моделирование затухающей памяти формы траектории в теории простых материалов с упругопластическим поведением и начальной поверхностьюнагружения / П. П. Лепихин // Механічна втома металів. Праці 13-го міжнародного колоквіуму (МВМ-2006), 25-28 вересня 2006 року — Т. : ТДТУ, 2006 — С. 105-111. — (Пленарні доповіді).
966-305-027-6 http://elartu.tntu.edu.ua/handle/123456789/16772 Lepikhin P. P. (2006) Modelirovanie zatukhaiushchei pamiati formy traektorii v teorii prostykh materialov s upruhoplasticheskim povedeniem i nachalnoi poverkhnostiunahruzheniia [Simulation of the path shape fading memory in the theory of elastoplastically-deformed simple materials with initial loading surface]. Mechanical Fatigue of Metals: Proceeding of the 13-th International Colloquium (MFM) (Tern., 25-28 September 2006), pp. 105-111 [in Russian]. |
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ru
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| Relation |
ⅩⅢ міжнародний колоквіум „Механічна втома металів“
ⅩⅢ Internation Colloquium "Mechanical fatigue of metals" 1. Benallal A., Marquis D. Constitutive equations for nonproportional loading in cyclic elastoplasticity // Trans.ASME: J.Eng.Mater. and Technol.-1978.-100, N4.-P.326-336. 2. Benallal A., Marquis D. Effect nonproportional cyclic elastoplasticity: experimental, theoretical and numerical aspects // Eng.Comput.-1988.-5, N3.-P.241-247. 3. Takamoto Iton, Masao Sakane, Takahiro Hata, Naomi Hamada. A design procedure for assessing low cycle fatigue life under proportional and non-proportional loading // Int.J.Fatique.-2006.-28, N5-6.-P.459-473. 4. Valanis K.C. A theory of viscoplasticity without a yield surface. Part 1/ General theory // Arch. Mech.-1971.-23, N4.-P.517-533. 5. Valanis K.C. A theory of viscoplasticity without a yield surface. Part 2/ Application to mechanical behavior of metals // Ibid.-1971.-23, N4.-P.535-551. 6. Rivlin R.S. Some comments on the endochronic theory of plasticity // Int.J.Solids Struct.-1981.-17, N2.-P.231-248. 7. Лепихин П.П. Моделирование затухающей памяти формы траектории в теории простых материалов с упругопластическим поведением. Сообщение 1. Конечные деформации // Пробл.прочности. -2004.-№5.-С.63-77. 8. Лепихин П.П. Моделирование затухающей памяти формы траектории в теории простых материалов с упругопластическим поведением. Сообщение 2. Бесконечно малые деформации // Там же. -2004.-№6.-С.87-98. 9. Трощенко В.Т., Красовский А.Я., Покровский В.В. и др. Сопротивление материалов деформированию и разрушению / Справочное пособие.-Т.1.-Киев: Наук.думка, 1993.-286с. 10. Lucchesi M., Owen D.R., Podio-Guidugli P. Materials with elastic range: A theory with a view toward applications. Part 3.: Approximate Constitutive Relations // Arch. Rat. Mech. Anal.-1992.-117.-P.53-96. 11. Трусделл К. Первоначальный курс рациональной механики сплошных сред.-М.: Мир, 1975.-592с. 12. Truesdell C., Noll W. The Non-linear Field Theories of Mechanics.-Springer,1992.-591 p. 13. Кристенсен Р. Введение в теорию вязкоупругости.-М.: Мир, 1974.-338с. 14. 14.Casey.J. Approximate Kinematical Relation in Plasticity//Int.J.Solids Structures.-1985.-21, N7.-P.671-682. 15. Коларов Д., Балтов А., Бончева Н. Механика пластических сред.-М.: Мир, 1979.-302 с. 1. Benallal A., Marquis D. Constitutive equations for nonproportional loading in cyclic elastoplasticity, Trans.ASME: J.Eng.Mater. and Technol.-1978.-100, N4.-P.326-336. 2. Benallal A., Marquis D. Effect nonproportional cyclic elastoplasticity: experimental, theoretical and numerical aspects, Eng.Comput.-1988.-5, N3.-P.241-247. 3. Takamoto Iton, Masao Sakane, Takahiro Hata, Naomi Hamada. A design procedure for assessing low cycle fatigue life under proportional and non-proportional loading, Int.J.Fatique.-2006.-28, N5-6.-P.459-473. 4. Valanis K.C. A theory of viscoplasticity without a yield surface. Part 1/ General theory, Arch. Mech.-1971.-23, N4.-P.517-533. 5. Valanis K.C. A theory of viscoplasticity without a yield surface. Part 2/ Application to mechanical behavior of metals, Ibid.-1971.-23, N4.-P.535-551. 6. Rivlin R.S. Some comments on the endochronic theory of plasticity, Int.J.Solids Struct.-1981.-17, N2.-P.231-248. 7. Lepikhin P.P. Modelirovanie zatukhaiushchei pamiati formy traektorii v teorii prostykh materialov s upruhoplasticheskim povedeniem. Soobshchenie 1. Konechnye deformatsii, Probl.prochnosti. -2004.-No 5.-P.63-77. 8. Lepikhin P.P. Modelirovanie zatukhaiushchei pamiati formy traektorii v teorii prostykh materialov s upruhoplasticheskim povedeniem. Soobshchenie 2. Beskonechno malye deformatsii, Tam zhe. -2004.-No 6.-P.87-98. 9. Troshchenko V.T., Krasovskii A.Ia., Pokrovskii V.V. and other Soprotivlenie materialov deformirovaniiu i razrusheniiu, Spravochnoe posobie.-V.1.-Kiev: Nauk.dumka, 1993.-286p. 10. Lucchesi M., Owen D.R., Podio-Guidugli P. Materials with elastic range: A theory with a view toward applications. Part 3., Approximate Constitutive Relations, Arch. Rat. Mech. Anal.-1992.-117.-P.53-96. 11. Trusdell K. Pervonachalnyi kurs ratsionalnoi mekhaniki sploshnykh sred.-M., Mir, 1975.-592p. 12. Truesdell C., Noll W. The Non-linear Field Theories of Mechanics.-Springer,1992.-591 p. 13. Kristensen R. Vvedenie v teoriiu viazkoupruhosti.-M., Mir, 1974.-338p. 14. 14.Casey.J. Approximate Kinematical Relation in Plasticity//Int.J.Solids Structures.-1985.-21, N7.-P.671-682. 15. Kolarov D., Baltov A., Boncheva N. Mekhanika plasticheskikh sred.-M., Mir, 1979.-302 p. |
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| Rights |
© Тернопільський державний технічний університет імені Івана Пулюя
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| Format |
105-111
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| Coverage |
25-28 вересня 2006 року
25-28 September 2006 Україна, Тернопіль Ukraine, Ternopil |
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| Publisher |
ТДТУ
TDTU |
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