Damage mechanics : basic variables in continuum theories

It is shown that any type of material damage that causes stiffness degradation in general requires description by an eighth order damage tensor but that the principle of strain equivalence permits a reduction to a tensor of order four. The actual number of independent damage parameters in such a tensor is related to the material and damage symmetry. For the isotropic case, there must be two independent damage parameters which can be expressed in terms of damage parameter with physical meaning.

[1]  Sia Nemat-Nasser,et al.  Elastic Solids with Microdefects , 1990 .

[2]  S. Murakami,et al.  Mechanical Modeling of Material Damage , 1988 .

[3]  J. Chaboche,et al.  Damage Induced Anisotropy: On the Difficulties Associated with the Active/Passive Unilateral Condition , 1992 .

[4]  Dusan Krajcinovic,et al.  Micromechanics of the Damage Processes , 1987 .

[5]  F. Sidoroff,et al.  Description of Anisotropic Damage Application to Elasticity , 1981 .

[6]  Jean Lemaitre,et al.  A Course on Damage Mechanics , 1992 .

[7]  R. B. Testa,et al.  Elastoplastic material with isotropic damage , 1999 .

[8]  D. Krajcinovic.  Micromechanical Basis of Phenomenological Models , 1987 .

[9]  Jean-Louis Chaboche,et al.  Development of Continuum Damage Mechanics for Elastic Solids Sustaining Anisotropic and Unilateral Damage , 1993 .

[10]  Ramesh Talreja,et al.  Damage mechanics of composite materials , 1994 .

[11]  Z. Hashin.  Analysis of Composite Materials—A Survey , 1983 .

[12]  Alan Hoenig,et al.  Elastic moduli of a non-randomly cracked body , 1979 .

[13]  S. Murakami.  Anisotropic Aspects of Material Damage and Application of Continuum Damage Mechanics , 1987 .

[14]  J. C. Simo,et al.  Strain- and stress-based continuum damage models—II. Computational aspects , 1987 .

[15]  Dusan Krajcinovic,et al.  CONTINUUM DAMAGE MECHANICS , 1984 .

[16]  B. Budiansky,et al.  Elastic moduli of a cracked solid , 1976 .

[17]  J. Chaboche,et al.  Mechanics of Solid Materials , 1990 .

[18]  G. J. Weng,et al.  Micromechanics and Inhomogeneity , 1990 .

[19]  J. Aboudi.  Mechanics of composite materials - A unified micromechanical approach , 1991 .

[20]  J. C. Simo,et al.  Strain- and stress-based continuum damage models—I. Formulation , 1987 .

[21]  Egidio Rizzi,et al.  A unified theory of elastic degradation and damage based on a loading surface , 1994 .

[22]  J. Hult.  Introduction and General Overview , 1987 .

[23]  R. Hill.  Elastic properties of reinforced solids: some theoretical principles , 1963 .