On the Prediction of Creep Damage by Bending of Thin-Walled Structures

Analysis of thin-walled structures operating at elevated temperaturesneeds a consideration of time-dependent creep-damage behaviour. Within theframework of the creep theory and the CDM the irreversible deformations ofthe structural elements can be described by constitutive equations withinternal state variables. The paper deals with an application ofphysically based creep-damage constitutive model with two damageparameters, proposed by Hayhurst, to the stress analysis of thin-walledplates and shallow shells. The governing equations of the shell theory areformulated by the consideration of geometrical nonlinearities associatedwith time-dependent finite deflections. Numerical examples show aninfluence of the finite deflections on the life-time predictions in platesas well as illustrate a dependence of damage evolution on the stress statemode. The results for creep damage evolution in plates are compared withresults based on the classical Kachanov–Rabotnov creep-damageconstitutive model.

[1]  Marcin Chrzanowski,et al.  Cracking of creeping plates in terms of continuum damage mechanics , 1994 .

[2]  O. Moratschkowski,et al.  Analyse des Kriechverhaltens dünner Schalen und Platten unter zyklischen Belastungen , 1995 .

[3]  F. K. G. Odqvist,et al.  Kriechfestigkeit metallischer Werkstoffe , 1962 .

[4]  M. Mclean,et al.  High temperature deformation in engineering alloys control , 1992 .

[5]  A. Służalec,et al.  Introduction to Nonlinear Thermomechanics , 1992 .

[6]  Jacek Skrzypek,et al.  Plasticity and Creep , 1994 .

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

[8]  Holm Altenbach,et al.  Geometrically nonlinear bending of thin-walled shells and plates under creep-damage conditions , 1997 .

[9]  F. A. Leckie,et al.  Creep problems in structural members , 1969 .

[10]  Tatsuo Inoue.  Inelastic Constitutive Models Under Plasticity-Creep Interaction Condition : Theories and Evaluations , 1988 .

[11]  David R Hayhurst,et al.  Mechanisms-based creep constitutive equations for an aluminium alloy , 1994 .

[12]  J. Betten,et al.  Materialgleichungen zur beschreibung des primären kriechverhaltens innendruckbeanspruchter zylinderschalen aus isotropem werkstoff , 1989 .

[13]  David R Hayhurst,et al.  Creep constitutive equations for a 0.5Cr–0.5Mo–0.25V ferritic steel in the temperature range 600–675°C , 1996 .

[14]  Hermann Riedel,et al.  Fracture at high temperatures , 1987 .

[15]  H. Altenbach,et al.  Zum Kriechen dünner Rotationsschalen unter Einbeziehung geometrischer Nichtlinearität sowie der Asymmetrie der Werkstoffeigenschaften , 1996 .

[16]  David R Hayhurst,et al.  The use of continuum damage mechanics in creep analysis for design , 1994 .

[17]  D. Krajcinovic,et al.  Introduction to continuum damage mechanics , 1986 .

[18]  S. Murakami.  Progress of continuum damage mechanics. , 1987 .

[19]  Holm Altenbach,et al.  Creep bending of thin-walled shells and plates by consideration of finite deflections , 1997 .