Summary
A general approach to anisotropic damage is presented starting from the concept of effective stress tensor. Some existing possibilities are discussed and the special case of uncoupled anisotropic damage is presented. The influence of damage on the elastic response is then investigated and it is shown that direct substitution of the effective stress tensor in the constitutive equation usually is not admissible. Some possibilities are presented to overcome this difficulty.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
Lemaitre J. - Chaboche J.L.: Aspect phénoménologique de la rupture par endommagement. J. Mécanique Appliquée, vol.2, n°3, 1978, p. 317–365.
Lemaitre J.: Damage modelling for prediction of plastic or creep fatigue-failure in structures. SMIRT 5, August 1979.
Hayhurst D. R.: Creep rupture under multiaxial states of stress. J. Mech. Phys. Solids, vol. 20, 1972, p. 381–390.
Hayhurst D. R. Leckie F. A.: The effect of creep constitutive and damage relationships upon the rupture time of a solid circular torsion bar. J. Mech. Phys. Solids, vol. 21, 1973, p. 431–446.
Murakami S. Ohno N.: A constitutive equation of creep damage in polycrystalline metals. Euromech Colloquium 111, Marianske Lazne, September 1978.
Murzewski J.: Cumulative damage of solids for random stress. Engng Fracture Mech., vol. 8, 1976.
Cordebois J. P. Sidoroff F.: Damage induced elastic anisotropy. Colloque Euromech 115, Villard de Lans, Juin 1979.
Chaboche J. L.: Le concept de contrainte effective appliqué à l’élasticité et à la viscoplasticité en présence d’un endommagement anisotrope. Colloque Euromech 115, Villard de Lans, Juin 1979.
Chaboche J. L.: Description thermodynamique et phénoménologique de la viscoplasticité cyclique avec endommagement. Thèse, Université P. et M.Curie, 1978.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag, Berlin, Heidelberg
About this paper
Cite this paper
Sidoroff, F. (1981). Description of Anisotropic Damage Application to Elasticity. In: Hult, J., Lemaitre, J. (eds) Physical Non-Linearities in Structural Analysis. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81582-9_35
Download citation
DOI: https://doi.org/10.1007/978-3-642-81582-9_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81584-3
Online ISBN: 978-3-642-81582-9
eBook Packages: Springer Book Archive