Abstract
The damage kinetic constitutive equations are derived from the thermodynamics of irreversible process in which physical considerations and experimental results are introduced in order to choose the proper variables and the analytical forms of the potentials. A general damage model is formulated and then applied to ductile damage, low cycle fatigue, high cycle fatigue and creep damage in order to identified particular kinetic laws to be introduced in structure calculations to predict the initiation and the growth of cracks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
BENALLAL A., 1984 - Calculs couplés élasto-viscoplasticité-endommagement - Conf. GAMNI, Méthodes Numériques en Fissuration et Endommagement.
BILLARDON R., LEMAITRE J., 1983 - Numerical prediction of crack growth under mixed-mode loading by continuum damage theory - Congrès AUM, Lyon.
CAILLETAUD G., CHABOCHE J.L., 1982 - Life prediction in 304 SS by damage approach - Conf.
ASME-PVP, Paper n’82-PVP-72, Orlando, 198 2, T.P. ONERA, 1982.
CHABOCHE J.L., 1982 - Lifetime’ predictions and cumulative damage under high-temperature conditions - Symp. on Low-Cycle Fatigue and Life Prediction, Firminy (France), 1980, ASTM-STP 770.
CHABOCHE J.L., 1982 - The concept of effective stress applied to elasticity and visco-plasticity in the presence of anisotropic damage - Mech. Behay. of Anis. Solids, Martinus Nijhoff, The Hague.
COFFIN L.F., 1954 - Study of the effects of cyclic thermal stresses in a ductile metal - Trans. ASME 76931.
CORDEBOIS J.P., 1983 - Critères d’instabilité plastique/ et endommagement ductile en grandes déformations - Thèse d’Etat, Université PARIS 6.
DEVAUX J.C., ROUSSELIER G., MUDRY F., PINEAU A., 1985 - An expe-riment program for the validation of global ductile fracture criteria using axisymmetrically cracked bars and compact tension specimens - Engng. Fract. Mech. J., Vol.21, n’2.
ENGEL-KLINGELE, 1981 - An atlas of metal damage - Wolf Science Books.
FOUGERES R., HAMEL A., SIDOROFF F., VINCENT A., 1985 - Rôle dé l’anélasticité dans les variations de raideur en sollicitations cycliques - Rapport GRECO n.165.
HAYHURST D.R., 1975 - Estimates of the creep rupture life time of structures using the finite element method - J. Mech. Phys. Solids, Vol. 23.
HULT J., 1975 - Damage induced tensile instability - Trans. 3rd SMIRT, London.
JANSON J., HULT J., 1977 - Fracture mechanics and damage mechanics, a combined approach - J. Mécanique Appliquée, n’1, pp.69–84.
KACHANOV L.M., 1958 - Time of the rupture process under creep conditions - TVZ Akad. Nauk. S.S.R. Otd. Tech. Nauk., Vol.8,.
KRAJCINOVIC K., FONSEKA G.U., 1981 - Continuous damage theory of brittle materials (parts I II) - J. Appl. Mech., Vol. 48, p. 809.
LAZAN J., 1960 - Energy dissipation mechanisms in structures with particular reference to material damping. Structural damping - RUZICKAJE, Pergamon Press.
LECKIE F.A., ONAT E.T., 1980 - Tensorial nature of damage measuring internal variables - Proceedings IUTAM Symp. on Physical Non-Linearties in Structural Analysis, Springer-Verlag, J. HULT, J. LEMAITRE.
LADEVEZE P., LEMAITRE J., 1984 - Damage effective stress in quasi-unilateral condition - IUTAM Congress Lyngby (Denmark).
LEMAITRE J., 1971 - Evaluation of dissipation and damage in metals, submitted to dynamic loading - Proc. I.C.M.1, Kyoto (Japan).
LEMAITRE J., 1984 - How to use damage mechanics! - Nuclear Engineering and Design Journal, Vol.80.
LEMAITRE J., 1985 - A continuous damage mechanics model for ductile fracture - Art. Trans. ASME, Journ. of Engng. Mat. and Techn., Vol.107/1.
LEMAITRE J., 1985 - Local approach of fracture - Proceedings of IUTAM Symposium on Mechanics of Damage and Fatigue, Haifa (Israël).
LEMAITRE J., BAPTISTE D.,.1982 - On damage criteria - Proc. and Worshor V.S.F. In Me s of Damage and Fracturera Atlanta (USA
LEMAITRE J., CHABOCHE J.L., 1974 - A nonlinear model of’creepfatigue damage cumulation and interaction - Proc. IUTAM Symp. of Mechanics of visco-elastic media and bodies, Springer-Verlag, Gothenburg.
LEMAITRE J., CHABOCHE J.L., 1985 - Mécanique des matériaux solides - Ed. Dunod, pp.532, (to be translated in english and in chineese).
IEMAITRE J., CORDEBOIS J.P., DUFAILLY J., 1979 - Sur le couplage endommagement-élasticité - Compte Rendu de l’Académie des Sciences, Paris, B.391.
MANSON S.S., 1954 - Behavior of materials under conditions of thermal stress - NACA Tech., Note 2933.
MARQUIS D., 1979 - Identification et modélisation de l’écrouissage anisotrope des métaux - Thèse de 3ème Cycle, Université PARIS 6.
Mc CLINTOCK F., 1968 - A criterion for ductile fracture by the growth of hole - ASME Journal of Applied Mechanics.
MUDRY F., 1982 - Etude de la rupture ductile et de la rupture par clivage d’aciers faiblement alliés - Thèse de l’Ecole des Mines, Université de Technologie de Compiègne.
MURAKAMI S., OHNO N., 1981 - A continuum theory of creep and creep damage - Creep in Structures, 1980, Proc.3rd IUTAM Symp. Creep in Structures, PONTER A.R.S. and HAYHURST D.R., Eds. Springer, pp.422–444, Berlin.
SAANOUNI K., CHABOCHE J.L., 1985 - Numerical aspects of a local approach for predicting creep crack growth - Colloque “Tendances actuelles en calcul des structures”, Bastia (Corse).
SUQUET P., 1980 - In comp. rheologiques et structure des matériaux - C.R. 15ème Colloque GFR, Paris.
RABOTNOV Y.N., 1969 - Creep rupture - Proc. X II, Inter. Congres Appl. Mech., Stanford, Springer Berlin.
RICE J., TRACEY D., 1969 - On ductile enlargement of voids in triaxial stress fields - Journal of Mechanics Physics and Solids, Vol.17.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Wien
About this chapter
Cite this chapter
Lemaitre, J. (1987). Formulation and Identification of Damage Kinetic Constitutive Equations. In: Krajcinovic, D., Lemaitre, J. (eds) Continuum Damage Mechanics Theory and Application. International Centre for Mechanical Sciences, vol 295. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2806-0_2
Download citation
DOI: https://doi.org/10.1007/978-3-7091-2806-0_2
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82011-7
Online ISBN: 978-3-7091-2806-0
eBook Packages: Springer Book Archive