zbMATH — the first resource for mathematics

A damage prediction method for composite structures. (English) Zbl 0717.73059
Summary: Damage generally refers to the more or less gradual development of micro- voids and micro-cracks. Damage mechanics is the modelling of these phenomena on a structural analysis scale. In this paper we first recall the nonlinear behaviour models we have developed to model composite laminates. Then we present two examples of implementaions of such models in a structural analysis code in order to simulate the inner-failure of a structure, or to study delamination initiation.

74R99 Fracture and damage
74E30 Composite and mixture properties
Full Text: DOI
[1] Talreja, J. Compos. Mater. 19 (1985)
[2] ’Stiffness reduction mechanism in composite materials’, ASTM STP 775, Nov. 1980.
[3] , and , ’Etude expérimentale de la rupture statique en contrainte complexes’, Comptes-rendus des 6éme journées nationales sur les composites (Paris), 515-526 (1988).
[4] , Mechanics of Solids Materials, Cambridge University Press, 1989.
[5] Sanchez-Palencia, Int. J. Eng. Sci. 12 pp 331– (1974)
[6] ’Analyse fonctionnelle et mécanique des milieux continus’, in W. Koiter (ed.), Proc. I. U. T. A. M., 1976.
[7] ’Damage mechanics for 2D composites’, Conference at the University of Urbana-Champaign (U.S.A.), Feb. 1985.
[8] and , ’High strength fiber reinforced composites elementary layer mechanical modelization’, Compte rendu des 5éme journées nationales sur les composites (Paris), 685-697 (1988).
[9] Allix, Iccm 5 pp 1039– (1985)
[10] , and , ’Damage mechanics for composite laminates under complex loadings’, IUTAM/ICM, 1988.
[11] ’Sur une théorie de l’endommagement anisotrope’, Rapport Interne No. 34, Laboratoire de Mécanique et Technologie, CACHAN, 1983.
[12] ’Damage mechanics for composite materials’, Comptes-rendus des 5éme journées nationales sur les composites (Paris), 667-683 (1988).
[13] Kachanov, Izv. Akad. Nauk Ssr Otd. Tech. Nauk 8 pp 26– (1958)
[14] ’Creep rupture’, Proc. XII Int. Cong. Appl. Mech., Stanford, 1968. · Zbl 0167.54004
[15] Garg, Eng. Fract. Mech. 29 pp 557– (1988)
[16] Herakovitch, J. Compos. Mater. 15 (1981)
[17] Wang, J. Compos. Mater. 17 pp 210– (1983)
[18] Storakers, J. Mech. Phys. Solids 36 pp 689– (1988)
[19] ’Finite element analysis of instability related delamination growth’, J. Compos. Mater., 403-426 (1981).
[20] ’Non-linear theory of composite laminates in compression with delamination’, Rapport Tech. ONERA No 18/3542 RY 071 R, 1988.
[21] and , ’Degradation models in finite element analysis of multilayered composite structures’, 4th International Conference on Composite Structures, Paisley College of Technology, Scotland, 1986.
[22] ’A degradation model for composite laminates’, Rapport Tech. ONERA No. 30/3043 RY 057 R, 1986.
[23] ’A degradation model for composite structures’, Rapport Tech. ONERA No. 13/3542 RY 061 R, 1987.
[24] ’Some computational aspects of the stability analysis of non-linear structures’, N. L. R. M. P., 82034 U, 1982.
[25] ’Sur une famille d’algorithmes en mécanique des structures’, Comptes-rendus, Académie des Sciences (Paris), 300, série II, No. 2 (1985).
[26] ’Sur un nouvel algorithme en mécanique des structures’, Rapport Interne L. M. T.-E. N. S. de CACHAN, No. 44, 1984.
[27] ’Délaminage par la Mécanique de l’Endommagement’, in J. M. Fonet et al. (eds.), Calcul des structures et Intelligence Artificielle–Vol. 1, Pluralis, 1987.
[28] ’Modélisation du comportement des composites stratifiés: application à l’analyse du délaminage’, Thèse d’université, 1989.
[29] Boisse, Eur. J.
[30] , and , 1987, ’A new large time increment algorithm for anisotropic plasticity’, Communication I. U. T. A. M/I. C. M.–Symposium Yielding, Damage and Failure of Anisotropic Solids, Grenoble, 24-27 Ao??t 1987.
[31] and , ’A fiber matrix interface model in composites materials’, Comptes rendus des 3ème journées nationales sur les composites (Paris) (1981).
[32] Anquez, European J. Mech. Solids
[33] ’Comportement en fatigue des matériaux composites’, Thèse de Docteur-Ingénieur, Université de Technologie de Compiegne, 1983.
[34] and , ’Rupture interlaminaire en mode mixte (I, II)’, Comptes-rendus des 6éme journées nationales sur les composites (Paris), 365-377 (1989).
[35] and , ’Solution of large displacement and stability problems using the current stiffness parameter’, Int. Conf. on Finite Elements in Non linear Solids
[36] ’A mixed variational formulation for laminated plates’, Euromech Colloquium 219, Refined Dynamical Theories of Beams, Plates and Shells and their Applications Gesamthochschule Kassel-Universität, Kassel (RFA), 23-25, 1986, Rapport ONERA, TP No. 166.
[37] ’Some local effects in composites plates’, in (ed.), Local Effects in the Analysis of Structures, Elsevier Science, 1985.
[38] Dumont, Comps. Struct. 8 pp 119– (1987)
[39] Hashin, Trans. Asme 47 pp 329– (1980) · doi:10.1115/1.3153664
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.