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Stress concentration at the circular hole of cyclically bent layered composite plate within the framework of a moment theory of thermoviscoelasticity

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Języki publikacji
EN
Abstrakty
EN
In the continuum mechanics there is a class of problems that cannot be solved directly or the solutions of these problems are affected by large errors when the classical equations of thermoviscoelasticity are considered. The paper discusses a special case of such problems - the cyclic bending of a composite plate with a circular hole subjected to the stationary self-heating, which was solved within the framework of a moment theory of thermoviscoelasticity.
Rocznik
Strony
75--83
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
  • Institute of Fundamentals of Machinery Design, Silesian University of Technology Gliwice, Poland
Bibliografia
  • [1] Savin G.N., Nemish Y.N., Investigations into stress concentration in the moment theory ofelasticity (a survey), Appl. Mech. 1968, 4, 1-17.
  • [2] Altenbach J., Altenbach H., Eremeyev V.A., On generalized Cosserat-type theories of plates and shells: a short review and bibliography, Arch. Appl. Mech. 2010, 80, 73-92.
  • [3] Cosserat E.F., Cosserat F.F., Théorie des corps deformables, A. Hermann et Fils, Paris 1909.
  • [4] Kubenko V.D., Shul’ga N.A., A dynamic plane problem of the moment theory of elasticity and viscoelasticity, Appl. Mech. 1967, 3, 50-53.
  • [5] Lomakin V.A., Savova L.N., Problems of straining of microinhomogeneous viscoelastic bodies and the moment theory of viscoelasticity, Polym. Mech. 1967, 2, 213-220.
  • [6] Savova L.N., Two-dimensional problem in the moment theory of viscoelasticity concerning stress concentration near a circular hole, Appl. Mech. 1968, 4, 6-13.
  • [7] Bykov D.L., Il’yushin A.A., Ogibalov P.M., Pobedrya B.E., Some fundamental problems of the theory of thermoviscoelasticity, Polym. Mech. 1971, 1, 41-58.
  • [8] Kolokol’chikov V.V., Microrelaxation model for describing the moment effects in viscoelastic polymers, Polym. Mech. 1977, 13, 501-506.
  • [9] Pobedrya B.E., Rodriguez A., Modelling of structures in the mechanics of composites, Mech. Compos. Mater. 2001, 37, 459-474.
  • [10] Omarov S.E., Effective characteristics of layered composites with allowance for structural changes, Mech. Solids 2007, 42, 463-470.
  • [11] Pobedrya B.E., Omarov S.E., Determination of material functions for the linear moment theory of viscoelasticity, Mosc. Univ. Mech. Bull. 2007, 62, 117-122.
  • [12] Pobedrya B.E., Omarov S.E., Constitutive relations of the moment theory of elasticity, Mosc. Univ. Mech. Bull. 2007, 62, 84-86.
  • [13] Omarov S.E., Determining the material constant in the equilibrium problem for an infinite elastic plane weakened by a circular hole, Mech. Solids 2007, 44, 776-780.
  • [14] Omarov S.E., A method of determining the material functions in the linear moment theory of elasticity, Mosc. Univ. Mech. Bull. 2009, 64, 110-113.
  • [15] Altenbach H., Eine direkt formulierte lineare Theorie für viskoelastische Platten und Schalen, Ingeneur Archiv 1988, 58, 215-228.
  • [16] Altenbach H., Eremeyev V.A., On the bending of viscoelastic plates made of polymer foams, Acta Mech. 2009, 204, 137-154.
  • [17] Katunin A., Fidali M., Self-heating of polymeric laminated composite plates under the resonant vibrations: theoretical and experimental study, Polym. Compos. 2012, 33, 138-146.
  • [18] Katunin A., Fidali M., Fatigue and thermal failure of polymeric composites subjected to cyclic loading, Adv. Compos. Lett. 2012, 21, 64-69.
  • [19] Katunin A., Gnatowski A., Influence of heating rate on evolution of dynamic propertiesof polymeric laminates, Plast. Rubber Compos. 2012, 41, 233-239.
  • [20] Gevorkyan G.A., Equations of plate bending in the moment theory of elasticity, Appl. Mech. 1966, 2, 74-79.
  • [21] Bouyge F., Jasiuk I., Boccara S., Ostoja-Staszewski M., A micromechanically based couplestress model of an elastic orthotropic two-phase composite, Eur. J. Mech. A-Solids 2002, 21, 465-481.
  • [22] Hayrapetyan G.S., Sargsyan S.H., Theory of micropolar orthotropic elastic thin plates, Comm. Acad. Sci., Armenia 2012, 65, 22-33 (in Russian).
  • [23] Tsiatas G.C., Yiotis A.J., A modified couple stress theory for bending, buckling and vibration of skew orthotropic micro-plates, Proc. 10th HSTAM Int. Congress of Mechanics, Chania 2013.
  • [24] Trovalusci P., Masiani R., Non-linear micropolar and classical continua for anisotropic discontinuous materials, Int. J. Solids Struct. 2003, 40, 1281-1297.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7f0b6fb8-2904-4d04-b4d0-653f0b3903af
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