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Constitutive relation for an orthotropic body with damage.

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PL
Równanie konstytutywne dla ciała ortotropowego z uszkodzeniami.
Języki publikacji
EN
Abstrakty
EN
In the present paper, the damage of fiber-reinforced composite laminates is considered with the aim to examine the change of their mechanical properties. The critical issue for theoretical analysis is to construct constitutive relations, which take into account the development of damage, along with stress and strain. The paper is mainly focused on this problem. In order to derive an adequate description, the author employs an approach based on polynominal invariants integrity basis by Adkins.
PL
Praca dotyczy pękania wewnątrzwarstwowego laminatów kompozytowych o warstwach jednokierunkowo zbrojonych włóknami i jego wpływu na zmianę charakterystyk sztywnościowych. Kluczowe znaczenie dla opisu teoretycznego ma taka konstrukcja równania konstytutywnego, która umożliwia właściwe uwzględnienie uszkodzeń na równi z naprężeniami i odkształceniami. W celu osiągnięcia tego celu, w pracy wykorzystano podejście zaproponowane przez Adkinsa oparte na teorii funkcji wielomianowych i nieredukowalnych baz niezmienniczych.
Rocznik
Strony
287--301
Opis fizyczny
Bibliogr. 39 poz., rys.
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autor
  • Cracow University of Technology, Chair of Strength of Materials, Institute of Structural Mechanics, ul. Warszawska 24, 311-55 Krakow, Poland
Bibliografia
  • [1] Swenson D., James.M.: FRANC2D/L: A Crack Propagation Simulator for Plane Layered Structures, Short User's Guide, Version 1.4, Kansas State University, Manhattan, Kansas, 1997.
  • [2] Reifsnider K. L., Henneke E. G., Stinchcomb W. W., Duke J. С.: Damage Mechanics and NDE of Composite Laminates, Mechanics of Composite Materials, Recent Advances, eds. Z. Hashin and С. T. Herakovich, Pergamon Press, 1983, pp. 399-420.
  • [3] Nairn J. A.: Matrix Microcracking in Composites, in: Polymer Matrix Composites, Chapter 13, R. Talrėja, J-A. Månson (eds.), Volume 2 of Comprehensive Composite Materials, A. Kelly and C. Zweben, (eds.), Elsevier Science, 2000.
  • [4] Ogihara S., Kobayashi S., Takeda N., Kobayashi A.: Damage Mechanics Characterization of Transverse Cracking Behavior in High-Temperature CFRP Laminates, Composites Science and Technology, Vol. 61, Issue 8, 2001, pp. 1049-1055.
  • [5] German J.: Intralaminar Damage in Fiber-Reinforced Polymeric Matrix Laminates, in: Materials Ageing and Component Life Extension, Vol. I, ed.: V. Bicego et al., EMAS Ltd., U. K., 1995, pp. 155-164.
  • [6] German J.: The Influence of Intralaminar Damage of Fiber-Reinforced Polymeric Matrix Laminates on Their Mechanical Properties, (submitted to Engineering Transactions), 2004.
  • [7] Varna J., Berglund L. A., Talreja R., Jakovics A.: A Study of the Opening Displacement of Transverse Cracks in Cross-Ply Laminates, Int. J. of Damage Mechanics, 2,3, 1993, pp. 272-289.
  • [8] Joffe R., Varna R. J.: Analytical Modelling of Stiffness Reduction in Symmetric and Balanced Laminates due to Cracks in 90 Layers. Composites Science and Technology, Vol. 59, 1999, pp. 1641-1652.
  • [9] Kashtalyan M., Soutis C.: Modelling Stiffness Degradation due to Matrix Cracking in Angleply Composite Laminates, Plastics, Rubber and Composites, 29, (9), 2000, pp. 482-488.
  • [10] Laws N., Dvorak G. J., Hajazi M.: Stiffness Changes in Unidirectional Composites Caused by Crack Systems, Mechanics of Materials, 2, 1983, pp. 123-137.
  • [11] Torquato S.: Modeling of Physical Properties of Composite Materials, Int. J. of Solids and Structures, 37, 2000, pp. 411-422.
  • [12] Mori Т., Tanaka K.: Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions, Acta Metallurgica Vol. 21, No. 5, 1973, pp. 571-574.
  • [13] Desrumaux F., Meraghni F., Benzeggagh M. L.: Micromechanical Modelling Coupled to a Reliability Approach for Damage Evolution Prediction in Composite Materials, Applied Composite Materials, 7 (4), 2000, pp. 231-250.
  • [14] Hashin Z.: Analysis of Cracked Laminates: A Variational Approach, Mechanics of Materials, 4, 1985, pp. 121-136.
  • [15] Praveen G., Reddy J. N.: Transverse Matrix Cracks in Cross-Ply Laminates: Stress Transfer, Stiffness Reduction and Crack Opening Profiles, Acta Mechanica, Vol. 130, No. 3-4, 1998, pp. 227-248.
  • [16] Rebire J. L., Maâtallah M. N., Gamby D.: Analysis of Damage Mode Transition in a Cross-Ply Laminate under Uniaxial Loading, Composite Structures, Vol. 55, Issue 1, 2002, pp. 115-126.
  • [17] Joffe R., Krasnikovs A., Varna J.: COD-based Simulation of Transverse Cracking and Stiffness Reduction in [S/90n]s Laminates, Composites Science and Technology, Vol. 61, Issue 5, 2001, pp. 637-656.
  • [18] Lundmark P., Varna J.: Modelling Thermo-Mechanical Properties of Damaged Laminates, Key Engineering Materials Vols. 2003, pp. 251-252, 381-388, Trans Tech Publication.
  • [19] Pagano N. J., Yuan F. G.: The Significance of Effective Modulus Theory (Homogenization) in Composite Laminate Mechanics, Composites Science and Technology, Vol. 60, Issues 12-13, 2000, pp. 2471-2488.
  • [20] Allen D. H.: Homogenization Principles and Their Application to Continuum Damage Mechanics, Composites Science and Technology, Vol. 61, Issue 15, 2001, pp. 2223-2230.
  • [21] Allen D. H., Harris С. E., Groves S. E.: A Thermomechanical Constitutive Theory for Elastic Composites with Distributed Damage -I. Theoretical Development, II. Application to Matrix Cracking in Laminated Composites, Int. J. Solids Structures, 23, 1987, pp. 1301-133.
  • [22] Talreja R.: Fatigue of Composite Materials, Lancaster, Technomic Publ. Co., 1987.
  • [23] Talreja R.: Internal Variable Damage Mechanics of Composite Materials, Yielding, Damage and Failure of Anisotropic Solids, EGF5 (editor J. P. Boehler), Mechanical Engineering Publications, 1990, pp. 509-533.
  • [24] Barbero E. J., Lonetti P.: Damage Model for Composites Defined in Terms of Available Data, Mechanics of Composite Materials and Structures, 8 (4), 2001, pp. 299-316.
  • [25] Jiang D., Shen W., Wang X.: Damage Constitutive Equations and its Application to Fiber Reinforced Composites under Transverse Impact, Applied Composite Materials, 9 (5), 2002, pp. 315-329.
  • [26] Litewka A., Bogucka J., Dębiński J.: Anisotropic Behaviour of Damaged Concrete and Fiber Reinforced Concrete, Lecture Notes in Applied and Computational Mechanics, Vol. 9, Anisotropic Behaviour of Damaged Materials, J. J. Skrzypek, A. W. Ganczarski (Eds.), Springer Verlag, ISBN 3-540-00437-8, 2003, pp. 185-219.
  • [27] German J.: Zastosowanie Mechaniki Uszkodzeń do Opisu Pęknięć Wewnątrzwarstwowych Laminatów, Zeszyty Naukowe Politechniki Świętokrzyskiej, Mechanika 62, 1997, pp. 147-154.
  • [28] German J.: Zmiany Sztywności Laminatów w Wyniku Pękania Wewnątrzwarstwowego Matrycy, Przegląd Mechaniczny, SIMP, zeszyt 5-6/00, 2000, pp. 13-17.
  • [29] German J.: Stiffness Changes in Fiber-Reinforced Polymeric Matrix Laminates Caused by Intralaminar Damage, in: ECF 14, Fracture Mechanics Beyond 2000, Vol. I/III, EMAS Publications U.K., 2002, pp. 599-606.
  • [30] German J.: Wpływ Uszkodzeń na Własności Laminatów Kompozytowych, IV Szkoła Kompozytów „Współczesne Zagadnienia Mechaniki Materiałów i Konstrukcji Kompozytowych" (referat generalny), Oficyna Wydawnicza Politechniki Warszawskiej, 2003, pp. 103-121.
  • [31] Vakulenko A. A., Kachanov M. L.: Kontynualnaja Teorija Sredy s Treszczinami, Mechanika Tverdogo Tela, No. 4, 1971, pp. 159-166.
  • [32] Kachanov M.: Continuum Model of Medium with Cracks, J. of Eng. Mech. Division, Proc. of ASCE, Vol. 106, No EM5, 1980, pp. 1039-1051.
  • [33] Rivlin R. S., Ericksen J. L.: Stress-Deformation Relations for Isotropic Materials, J. Rational Mech. Anal., Vol. 4, 1955, pp. 323-425.
  • [34] Litewka A.: Effective Material Constants for Orthotropically Damaged Elastic Solid, Arch. Mech., 37, 1985, pp. 631-642.
  • [35] Spencer A. J. M.: Theory of Invariants, in: Continuum Physics, ed. A. C. Eringen, Vol.1, Mathematics, Academic Press, 1971, pp. 239-353.
  • [36] Adkins J. E.: Dynamic Properties of Resilient Materials: Constitutive Equations, Phil. Trans. Roy. Soc. A 250, 1958, pp. 519-541.
  • [37] Adkins J. E.: Symmetry Relations for Orthotropic and Transversely Isotropic Materials, Arch. Rational Mech. Anal., Vol. 4, 1959, pp. 193-213.
  • [38] Talreja R.: Damage Development in Composites: Mechanisms and Modeling, J. Strain Anal., 24, 1989, pp. 215-222.
  • [39] German J.: Podstawy Mechaniki Kompozytów Włóknistych, Wydawnictwo Politechniki Krakowskiej, ISBN 83-903878-4-0, 1996, pp. 282. Internet: http://limba.wil.pk.edu.pl/~jg/kompozyt/
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BOS2-0008-0075
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