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Online ISSN 1552-4485; Print ISSN 0033-569X
Two extending crack problems in linear viscoelasticity theory
Author:
G. A. C. Graham
Journal:
Quart. Appl. Math. 27 (1970), 497-507
DOI:
https://doi.org/10.1090/qam/99809
MathSciNet review:
QAM99809
Full-text PDF Free Access
References | Additional Information
- E. H. Lee, Stress analysis in visco-elastic bodies, Quart. Appl. Math. 13 (1955), 183–190. MR 69741, DOI https://doi.org/10.1090/S0033-569X-1955-69741-6 M. L. Williams, P. J. Blataz and R. A. Schapery, Fundamental studies relating to systems analysis of solid propellants, Guggenheim Aeronautical Laboratory, California Institute of Technology, Pasadena, Calif., 1961 M. L. Williams, Initiation and growth of viscoelastic fracture, Internat. J. Fracture Mechanics (4) 1, 292–310 (1965) J. R. Willis, Crack propagation in viscoelastic media, J. Mech. Phys. Solids (4) 15, 229–240 (1967) G. A. C. Graham, The correspondence principle of linear viscoelasticity theory for mixed boundary value problems involving time-dependent boundary regions, Quart. Appl. Math. (2) 26, 167–174 (1968) A. A. Griffith, The theory of rupture, Proc. 1st Internat. Congress Appl. Mech. Delft, 55–63 (1924)
- I. N. Sneddon, The distribution of stress in the neighbourhood of a crack in an elastic solid, Proc. Roy. Soc. London Ser. A 187 (1946), 229–260. MR 17160, DOI https://doi.org/10.1098/rspa.1946.0077 I. N. Sneddon, The use of transform methods in elasticity, Applied Mathematics Research Group, North Carolina State University, Raleigh, N. C., 1964
- M. E. Gurtin and Eli Sternberg, On the linear theory of viscoelasticity, Arch. Rational Mech. Anal. 11 (1962), 291–356. MR 147047, DOI https://doi.org/10.1007/BF00253942
- I. S. Sokolnikoff, Mathematical theory of elasticity, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1956. 2d ed. MR 0075755 R. S. Rivlin and A. G. Thomas, Rupture of rubber. I: Characteristic energy for tearing, J. Polymer Sci. (3) 10, 291–318 (1953)
- Ian N. Sneddon, A note on the problem of the penny-shaped crack, Proc. Cambridge Philos. Soc. 61 (1965), 609–611. MR 174223, DOI https://doi.org/10.1017/s0305004100004175
Additional Information
Article copyright:
© Copyright 1970
American Mathematical Society