Correspondence principles and a generalized J integral for large deformation and fracture analysis of viscoelastic media

作者: R. A. Schapery

DOI: 10.1007/BF01140837

关键词: MechanicsFracture mechanicsDynamic modulusViscoelasticityStructural engineeringConstitutive equationContinuum (measurement)Nonlinear systemStrain energy release rateRheologyMaterials science

摘要: Methods of quasi-static deformation and fracture analysis are developed for a class nonlinear viscoelastic media sample applications given. Selection the is guided by actual rheological behavior monolithic composite materials as well need simplicity to be able understand effect primary material continuum parameters on crack growth behavior. First, pertinent aspects J integral energy release rate theory elastic discussed. Nonlinear constitutive equations then given, correspondence principles which establish simple relationship between mechanical states developed. These provide basis subsequent extension in materials. Emphasis predicting work available at tip initiation continuation growth; some examples show how properties affect Included problem thin layer having different than surrounding continuum. The Appendix gives an apparently new with changing microstructure (e.g. distributed damage) indicates conditions under body paper applicable.

参考文章(21)
JD Landes, JA Begley, A Fracture Mechanics Approach to Creep Crack Growth ASTM special technical publications. pp. 128- 148 ,(1976) , 10.1520/STP33943S
R. A. Schapery, A method for predicting crack growth in nonhomogeneous viscoelastic media International Journal of Fracture. ,vol. 14, pp. 293- 309 ,(1978) , 10.1007/BF00034690
Richard W. Hertzberg, John A. Manson, Fatigue of engineering plastics ,(1980)
R. G. C. Arridge, Mechanics of polymers ,(1975)
Michael D. Greenberg, Foundations of Applied Mathematics ,(1978)
R. M. Christensen, Theory of viscoelasticity : an introduction Academic Press. ,(1971)
Yuan-Cheng Fung, Foundations of solid mechanics ,(1965)
G.S. Brockway, R.A. Schapery, Some Viscoelastic Crack Growth Relations for Orthotropic and Prestrained MEdia. Engineering Fracture Mechanics. ,vol. 10, pp. 453- 468 ,(1978) , 10.1016/0013-7944(78)90057-7
H. H. Kausch, J. A. Hassell, R. I. Jaffee, Deformation and fracture of high polymers. Science. ,vol. 181, pp. 961- 962 ,(1973) , 10.1126/SCIENCE.181.4103.961
L. N. McCartney, Extensions of a statistical approach to fracture International Journal of Fracture. ,vol. 15, pp. 477- 487 ,(1979) , 10.1007/BF00023333