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A continuum approach to brittle and fatigue damage : theory and numerical procedures

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  • Computer Science
  • Physics


PII: 0020-7683(93)90189-E hf. J. Solids Swucrures Vol. 30, No. 4, PP. 579-599, 1993 Printed in Great Britain 002&7683/93 SS.OO+ .OO 0 1992 Pergamon Press Ltd A CONTINUUM APPROACH TO BRITTLE AND FATIGUE DAMAGE: THEORY AND NUMERICAL PROCEDURES M. H. J. W. PAAS TN0 Building and Construction Research-Centre for Mechanical Engineering, P.O. Box 29, 2600AA Delft, The Netherlands and P. J. G. SCHREURS and W. A. M. BREKELMANS Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands (Received 18 July 199 1 ; in revised form 24 August 1992) Abstract-A unified continuum approach to brittle and fatigue damage is presented. A scalar variable is used to represent the damage state. General forms of the constitutive equations are established on a thermodynamic basis. Specific evolution laws are postulated and used to illustrate the capacity of the model. The governing equations are solved numerically. The computational effort is reduced by the application of an adaptive stepsize selection procedure for the integration of the rate equations and by uncoupling the constitutive equations. The response of a plate with an induced crack subjected to periodic loading is studied. 1. INTRODUCTION Degradation of material properties is the result of initiation, growth and coalescence of microdefects, such as microvoids, microcracks and microcrazes. In circumstances where the defects are distributed in a statistically homogeneous manner, it is advantageous to model the mechanisms associated with material degradation within the context of con- tinuum damage mechanics (CDM). In CDM internal state variables are introduced, which may be regarded as a continuous measure of the material degradation (Krajcinovic, 1984 ; Kachanov, 1986). These damage variables require the establishment of additional rate equations and criteria that indicate when the current state will change. The governing equations can be derived within a thermodyna

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