A universal physically consistent definition of material damage

Abstract This paper proposes a physically consistent definition of material damage. The definition is based on the physical concepts of inter-atomic energy and the breaking and re-establishing of the atomic bonds. The states of material damage are physically determined in a broad sense by the configuration of the atomic bonds. The meso characteristics, such as vacancies, dislocations, pores, slips, microcavities, microcracks and so on, could be quantified through the use of subsystems each corresponding to a special configuration. The constitutive equations, referring to the material damage represented by the definition, could be developed by following both nonlocal and local theories.

[1]  Dusan Krajcinovic,et al.  Continuous Damage Mechanics Revisited: Basic Concepts and Definitions , 1985 .

[2]  A. Barut.  Nonlinear Equations in Physics and Mathematics , 1978 .

[3]  A. Eringen.  Nonlocal Continuum Mechanics and Some Applications , 1978 .

[4]  C. Truesdell,et al.  The Classical Field Theories , 1960 .

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

[6]  C. W. Woo,et al.  ON DAMAGE KINETIC MODEL WITH ATOMIC ACTIVATION OVER A SYSTEM OF ENERGY BARRIERS , 1993 .

[7]  Mark Kachanov,et al.  Elastic interaction of a crack with a microcrack array. I - Formulation of the problem and general form of the solution. II - Elastic solution for two crack configurations (piecewise constant and linear approximations) , 1987 .

[8]  I. Kunin,et al.  Elastic Media with Microstructure I: One-Dimensional Models , 1982 .

[9]  Dominic G.B. Edelen,et al.  Nonlocal continuum mechanics , 1971 .

[10]  Mechanics of Generalized Continua , 1968 .

[11]  J. Rice.  Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity , 1971 .

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

[13]  A. Chudnovsky,et al.  Elastic interaction of a crack with a random array of microcracks , 1991, International Journal of Fracture.

[14]  Alexander Chudnovsky,et al.  Crack layer theory , 1987 .

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

[16]  J. Chaboche.  Continuum Damage Mechanics: Part II—Damage Growth, Crack Initiation, and Crack Growth , 1988 .

[17]  J. Chaboche.  Continuum Damage Mechanics: Part I—General Concepts , 1988 .

[18]  Jean Lemaitre,et al.  Formulation and Identification of Damage Kinetic Constitutive Equations , 1987 .

[19]  C. W. Woo,et al.  Statistical analysis of material damage with changing internal structure , 1993 .

[20]  P. Rabier,et al.  Some remarks on damage theory , 1989 .

[21]  Mark Kachanov,et al.  Elastic interaction of a crack with a microcrack array—II. Elastic solution for two crack configurations (piecewise constant and linear approximations) , 1987 .

[22]  J. Rice.  On the Structure of Stress-Strain Relations for Time-Dependent Plastic Deformation in Metals , 1970 .

[23]  E. Kröner,et al.  On the physical reality of torque stresses in continuum mechanics , 1963 .

[24]  C. W. Woo,et al.  A general stochastic dynamic model of continuum damage mechanics , 1992 .