Research of evolution of the stress strain and definition of the estimated life-time of massive structure elements using of the universal finite element
DOI:
https://doi.org/10.20998/2079-0023.2018.22.10Keywords:
stress strained state, creep, damage parameter, finite element, life-timeAbstract
Mathematical modeling of the continual fracture processes under long creep conditions on the basis of FEM is a rather complex problem. The efficiency of solving of this problem depends on the completeness of the finite element library and the algorithms for solving systems of nonlinear equations, as well as on the software organization. The main principles of the moment sheme of finite elements (MSFE) is the base for procedure of obtaining of finite-element solving relationships. In contrast to the generally accepted approaches the use of MSFE provides an independent representation of deformations in the form of Maclaurin series in addition to the choose of the law of displacements distribution. At the base of the algorithm for solving a system of nonlinear equations, the method of integration over the load parameter is adopted. It is assumed to reduce an integration step consecutively to obtain reliable results. To optimize discrete FEM models, an approach based on the initial fragmentation of the computational model was used. The accuracy of solving of a system of nonlinear equations at each step of the load parameter is determined by comparing the sum of the squares of the nodal reactions and the sum of the squares of the nodal values of the external loads. The equations of termoviscolastoplastic deformation taking into account the damage of materials are taken as initial relations. The principle of using of quasiregular fragmentation which involves constructing a general irregular finite element model based on regular finite element fragments is basis of the procedure of constructing the finite element model of objects under consideration. This make it possible to optimize substantially the total number of unknowns. When calculating of a new objects, the convergence of the results is justified by a sequential increase of the parameters of the mesh model, a decrease of integration step value due to an increase of their number within a given range of loads, and an increase of the accuracy of solving of nonlinear equations system at each step. In order to justify the reliability of the results, obtained on the basis of the universal finite element, the parameters of the stress-strain state and the damage parameter ω were compared with data calculated on the basis of finite elements of a general type with numerical integration and elements with integration in a closed form.References
Anyshchenko H. O., Breslavskyi D. V., Morachkovskyi O. K. Polzuchest y dlytelnaia prochnost elochnoho zamkovoho soedynenyia lopatki HTD pry sovmestnom deistvyy statycheskykh y tsyklycheskykh nahruzok [Creep and long-time durability of fir-tree interlock of gas turbine blade under the united action of static and cyclic loads]. Problemy prochnosty [Strength of Materials]. 1998, no.1, pp. 34–41.
Byrher Y. A., Darevskyi V. M., Demianushko Y. V. et al. Raschet na prochnost avyatsyonnykh hazoturbynnykh dvyhatelei [Calculation on durability of aviation turbo-engines]. Moscow, Mashynostroenye Publ. 1984. 208 p.
Breslavskyi D. V., Korytko Yu. N. Polzuchest tel vrashchenyia pry tsyklycheskykh teplosmenakh [Creep of bodies of rotation under cyclic warm changing]. Metody rozviazuvannia prykladnykh zadach mekhaniky deformivnoho tverdoho tila [Methods for solving of applications of the solid body]. 2009, issue 10, pp. 41–47.
Halyshyn A. Z., Shevchenko Yu. N. Opredelenye osesymmetrychnoho upruho-plastycheskoho sostoianyia tonkykh obolochek s uchetom treteho ynvaryanta devyatora napriazhenyi nahruzok [Determination of the axisymmetrical elasto-plastic state of thin shells taking into account the third invariant of stress deviator]. Prikladnaja mekhanyka [International Applied Mechanics]. 2010, vol. 46, no. 8, pp. 19−28.
Hetsov L. B. Polzuchest y dlytelnaia prochnost metallycheskykh materyalov [Creep and long-time durability of metallic materials. Manual]. Saint Petersburg, Yzd-vo Polytekhn. Un-ta Publ, 2005. 52 p.
Hyhyniak F. F., Bulakh P. A. Usovershenstvovanye upruhoviazkoplastycheskoi modely deformyrovanyia s uchetom povrezhdeniy [Improvement of elastoviscoplastic model of deformation with an account of damage ]. Problemy prochnosty [Strength of Materials]. 2012, no. 4, pp. 58–66.
Hyhyniak F. F., Bulakh P. A. Prohnozyrovanye dolhovechnosty teploustoichyvoi staly 10HN2MFA s uchetom povrezhdaemosty metalla pry pulsyruiushchem rastiazhenyy v uslovyiakh slozhnoho napriazhennoho sostoianyia [Prognostication of longevity of “10ГН2МФА” thermostable steel taking into account of metal damage at pulsating tension in the conditions of the difficult stress state]. Problemy prochnosty [Strength of Materials]. 2012, no. 5, pp. 98–104.
Holub V. P. Nelyneinaia mekhanyka kontynualnoi povrezhdennosty y ee prylozhenye k zadacham polzuchesty y ustalosty [Nonlinear mechanics of continual damage and its applicatinon to the tasks of creep and fatigue]. Prikladnaja mekhanyka [International Applied Mechanics]. 2000, vol. 36, no. 3, pp. 31–66.
Leliukh Yu. Y. Analyz metodov ucheta povrezhdaemosty materyala pry termoviazkoupruhoplastycheskom deformyrovanyy [Analysis of methods for accounting of material damage during thermo-viscous elastically plastic deformation]. Prikladnaja mekhanyka [International Applied Mechanics]. 2007, vol. , no. 12, pp. 110−121.
Shevchenko Yu. N. Deformatsyonnaia teoryia termoviazkoupruhoplastycheskoho deformyrovanyia ortotropnoho tela, uchytivaiushchaia ystoryiu nahruzhenyia [Deformation theory of thermoviscoelastic-plastic deformation of an orthotropic body, taking into account the loading history]. Problemy prochnosty [Strength of Materials]. 2000, no. 5, pp. 74−84.
Lohynov O. A. Rasprostranenye fronta razrushenyia v tolstostennoi trube v uslovyiakh polzuchesty [Distribution of fracture front in the thick-walled pipe under conditions of creep]. Nadezhnost y prochnost mashynostroytelnykh konstruktsyi: sb. nauch. tr. [Reliability and durability of machine-building structure]. Kuibishev, Kujbyshev. politehn. in-t Publ., 1988, pp. 61–67.
Lokoshchenko A. M., Nazarov V. V. Dlytelnaia prochnost metallov pry ravnoosnom ploskom napriazhennom sostoianyy polzuchesty [Long-time durability of metals at equiaxial plane stress state]. Prikladnaja mekhanyka y tehnicheskaja fyzyka [Journal of Applied Mechanics and Technical Physics]. 2009, vol. 50, no. 4, pp. 150– 157.
Muravchenko F. M. Aktualnye problemy dynamyky, prochnosty y nadezhnosty avyadvyhatelei [Actual problems of dynamics, durability and reliability of aero-engines]. Vibratsii v tekhnytsi i tekhnolohiiakh [Vibrations in a technique and technologies magazine]. 2004, no. 6 (38), pp. 2–4.
Kharchenko V. V. Modelyrovanye protsessov vyaskoskorostnoho deformyrovanyia materyalov s uchetom viazkoplastycheskykh effektov [Design of processes of high-speed deformation of materials taking into account visco-plastic effects]. Kyiv, Lohos Publ., 2009. 280 p.
Chen G. G., Hsu T. R. The role of plastic strains in creep crack growth. Eng. Fracture Mechanics. 1991, vol. 39, no. 3, pp. 493–506.
Jakowluk A. Procesy pelzania i zmeczenia w materialach. [Processes of creep and hardening in materials].– Warszawa. : Wyd.Nauk.Tech., 1993. – 484 p.
Murakami S., Sanomura Y. Creep and damage of cooper under multiaxior states of stress. Plasticity Tday. London, Elsevier Publ., 1985, pp. 535-551.
Nishihara T., Yamada N. Damage mechanic correlation for highcycle loading condition. Fac. Enineering. Kyoto Univ, 1956, no. 3, pp. 175-213.
Melnykov V. V. Temperaturnye napriazhenyia v upruhoi sfere, soderzhashchei konycheskye vyrezy [Temperature stresses in a elastic sphere containing conical cuts]. Prikladnaja mekhanyka y tehnicheskaja fyzyka [Journal of Applied Mechanics and Technical Physics]. 2009, vol. 50, no. 6, pp. 161–164.
Rusynko A. N. Analitychnyi opys povzuchosti poperedno deformovanoho materialu [Analytical description of creep of the preliminary deformed material]. Mashynoznavstvo [Engineering science]. 2004, no. 1, pp. 13–16.
Huliar O. I., Pyskunov S. O., Solodei I. I. et al. Efektyvnist momentnoi skhemy skinchenykh elementiv (MSSE) v zadachakh zghynu ta z kontsentratoramy [Efficiency of moment sheme of finite element (MSFE) in the problem of bending and stress concentrators]. Opir materialiv i teoriia sporud [Strength of Materials and Theory of Structures]. 2012, issue 89, pp. 143 157.
Maksymiuk Yu. V. Rozrakhunkovi spivvidnoshennia universalnoho skinchenoho elementa na osnovi momentnoi skhemy skinchenykh elementiv [Solving relations of universal finite element on the basis of moment sheme of finite element]. Opir materialiv i teoriia sporud [Strength of Materials and Theory of Structures]. 2015, issue 94, pp. 244–251.
Huliar O. I., Pyskunov S. O., Maksymiuk Yu. V. Alhorytm rozviazannia heometrychno neliniinoi zadachi viazkopruzhnoplastychnoho deformuvannia dvovymirnykh til [Algorithm of decision of geometrically nonlinear problem of viscoelastoplasticity of two-dimensional bodies]. Opir materialiv i teoriia sporud [Strength of Materials and Theory of Structures]. 2009, issue 83, pp. 44–62.
Vasylchenko H. S. Uslovyie razrushenyia neravnomerno nahretkh vrashchaiushchykhsia dyskov [Condition of destruction of the unevenly heated rotating disks]. Trudі CNIITMASh [Proceedings of CNIITMASH]. 1962, no. 30, pp. 5–18.
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