Local approach of fracture

Abstract This is a review of papers published during the last 10 or 15 years to describe the crack behavior in structures by means of continuum damage mechanics. Emphasis is put on a classification of the different methods used and on the different behaviors taken into account: elasticity, plasticity, viscoplasticity; brittle damage, fatigue damage, ductile and creep damages.

[1]  Jc Newman.  Finite-Element Analysis of Crack Growth Under Monotonic and Cyclic Loading , 1977 .

[2]  R. Billardon,et al.  Study of the non-uniform growth of a plane crack in a three-dimensional body subjected to non-proportional loadings , 1986 .

[3]  David R Hayhurst,et al.  Estimates of the creep rupture lifetime of structures using the finite element method , 1975 .

[4]  J. Dougill,et al.  On stable progressively fracturing solids , 1976 .

[5]  Dusan Krajcinovic,et al.  Mechanics of Solids with a Progressively Deteriorating Structure , 1985 .

[6]  J. Chaboche,et al.  Le Concept de Contrainte Effective Appliqué à l’Élasticité et à la Viscoplasticité en Présence d’un Endommagement Anisotrope , 1982 .

[7]  A. Pineau,et al.  A local criterion for cleavage fracture of a nuclear pressure vessel steel , 1983 .

[8]  P. Petersson.  Crack growth and development of fracture zones in plain concrete and similar materials , 1981 .

[9]  S. Bodner.  A Procedure for Including Damage in Constitutive Equations for Elastic-Viscoplastic Work-Hardening Materials , 1981 .

[10]  H. Andersson.  A finite-element representation of stable crack-growth , 1973 .

[11]  F. Mudry,et al.  An experimental program for the validation of local ductile fracture criteria using axisymmetrically cracked bars and compact tension specimens , 1985 .

[12]  A. R. Luxmoore,et al.  Prediction of slow crack growth by a finite element method , 1975, International Journal of Fracture.

[13]  Jl Chaboche,et al.  Lifetime Predictions and Cumulative Damage under High-Temperature Conditions , 1982 .

[14]  Jean-Louis Chaboche,et al.  Anisotropic creep damage in the framework of continuum damage mechanics , 1984 .

[15]  Z. Bažant,et al.  Blunt Crack Band Propagation in Finite Element Analysis , 1979 .

[16]  Frederick A. Leckie,et al.  Tensorial Nature of Damage Measuring Internal Variables , 1981 .

[17]  H. J. Grootenboer.  Finite element analysis of two-dimensional reinforced concrete structures, taking account of non-linear physical behaviuour and the development of discrete cracks , 1979 .

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

[19]  J. Argyris,et al.  Numerical Techniques for the Finite Element Analysis of Elastic and Inelastic Material Nonlinearities , 1981 .

[20]  W. C. Schnobrich,et al.  Finite Element Analysis of Reinforced Concrete , 1973 .

[21]  J. Lemaître.  How to use damage mechanics , 1984 .

[22]  A. Luxmoore,et al.  Some further results on slow crack growth prediction by a finite element method , 1976, International Journal of Fracture.

[23]  J. Chaboche,et al.  A Non-Linear Model of Creep-Fatigue Damage Cumulation and Interaction , 1975 .

[24]  Humbert Policella,et al.  A METHOD FOR PREDICTING THE LIFETIME OF GAS TURBINE BLADES , 1981 .

[25]  K. B. Broberg,et al.  On stable crack growth , 1975 .

[26]  S. N. Malik,et al.  Elevated temperature creep crack growth: State-of-the-art review and recommendations , 1982 .

[27]  F. Mudry.  Methodology and Applications of Local Criteria for the Prediction of Ductile Tearing , 1985 .

[28]  Ohji Kiyotsugu,et al.  An analysis of creep crack propagation on the basis of the plastic singular stress field , 1979 .

[29]  Sumio Murakami,et al.  A Continuum Theory of Creep and Creep Damage , 1981 .

[30]  L. Kachanov.  Crack and damage growth in creep — A combined approach , 1980 .

[31]  Zdenek P. Raiant,et al.  Application of Fracture Mechanics to Cementitious Composites , 2022 .

[32]  Dusan Krajcinovic,et al.  The Continuous Damage Theory of Brittle Materials, Part 1: General Theory , 1981 .

[33]  A. Hillerborg,et al.  Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements , 1976 .

[34]  Jean Lemaitre,et al.  Coupled elasto-plasticity and damage constitutive equations , 1985 .

[35]  D. R. Hayhurst,et al.  Creep rupture of structures , 1974, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[36]  K. J. Miller,et al.  An elastic-plastic finite element analysis of crack tip fields under biaxial loading conditions , 1974 .

[37]  J Mazars,et al.  APPLICATION DE LA THEORIE DE L'ENDOMMAGEMENT AU COMPORTEMENT NON LINEAIRE ET A LA RUPTURE DU BETON DE STRUCTURE , 1982 .

[38]  J. Lemaître.  A CONTINUOUS DAMAGE MECHANICS MODEL FOR DUCTILE FRACTURE , 1985 .

[39]  D. R. Hayhurst,et al.  The role of continuum damage in creep crack growth , 1984, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[40]  James C. Newman,et al.  Prediction of Fatigue Crack Growth under Variable-Amplitude and Spectrum Loading Using a Closure Model , 1982 .

[41]  F. Mcclintock,et al.  Elastic-plastic mechanics of steady crack growth under anti-plane shear , 1971 .

[42]  E. Krempl.  Inelastic Constitutive Equations and Phenomenological Laws of Damage Accumulation for Structural Metals , 1981 .

[43]  A. D. Koning.  A Contribution to the Analysis of Quasi Static Crack Growth in Sheet Materials , 1978 .

[44]  A. Chudnovsky,et al.  Effect of damage dissemination on crack propagation in polypropylene , 1983 .

[45]  Zdeněk P. Bažant,et al.  EFFECT OF FINITE ELEMENT CHOICE IN BLUNT CRACK BAND ANALYSIS , 1980 .

[46]  Mark Kachanov,et al.  Continuum Model of Medium with Cracks , 1980 .

[47]  D. Legendre,et al.  Damage and fracture mechanics for concrete (a combined approach) , 1984 .

[48]  R. Borst,et al.  Non-orthogonal cracks in a smeared finite element model , 1985 .

[49]  R. Billardon,et al.  FAILURE ANALYSIS OF STRUCTURES BY CONTINUUM DAMAGE MECHANICS , 1984 .

[50]  Luigi Cedolin,et al.  Finite element modeling of crack band propagation , 1983 .

[51]  J. Devaux,et al.  Numerical study of initiation, stable crack growth, and maximum load, with a ductile fracture criterion based on the growth of holes , 1979 .