Finite anti-plane shear of a semi-infinite strip subject to a self-equilibrated end traction
Authors:
C. O. Horgan and R. Abeyaratne
Journal:
Quart. Appl. Math. 40 (1983), 407-417
MSC:
Primary 73G05; Secondary 73C10
DOI:
https://doi.org/10.1090/qam/693875
MathSciNet review:
693875
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- C. O. Horgan and J. K. Knowles, The effect of nonlinearity on a principle of Saint-Venant type, J. Elasticity 11 (1981), no. 3, 271–291. MR 625953, DOI https://doi.org/10.1007/BF00041940
- Cornelius O. Horgan and James K. Knowles, Recent developments concerning Saint-Venant’s principle, Adv. in Appl. Mech. 23 (1983), 179–269. MR 889288
M. E. Gurtin, The linear theory of elasticity, in Handbuch der Physik, (S. Flügge, ed.), Vol VI $a/2$, Springer, Berlin, 1972, pp. 1–295
- James K. Knowles, On finite anti-plane shear for incompressible elastic materials, J. Austral. Math. Soc. Ser. B 19 (1975/76), no. 4, 400–415. MR 475116, DOI https://doi.org/10.1017/S0334270000001272
- James K. Knowles, The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids, Internat. J. Fracture 13 (1977), no. 5, 611–639 (English, with French summary). MR 462075, DOI https://doi.org/10.1007/BF00017296
- David Gilbarg and Neil S. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, Berlin-New York, 1977. Grundlehren der Mathematischen Wissenschaften, Vol. 224. MR 0473443
- J. K. Knowles and Eli Sternberg, An asymptotic finite-deformation analysis of the elastostatic field near the tip of a crack, J. Elasticity 3 (1973), no. 2, 67–107 (English, with German summary). MR 475148, DOI https://doi.org/10.1007/BF00045816
C. O. Horgan and J. K. Knowles, The effect of nonlinearity on a principle of Saint-Venant type, J. Elasticity 11, 271–291 (1981)
C. O. Horgan and J. K. Knowles, Recent developments concerning Saint-Venant’s principle, in Advances in Applied Mechanics 23 (J. W. Hutchinson, ed.), Academic Press, New York (in press)
M. E. Gurtin, The linear theory of elasticity, in Handbuch der Physik, (S. Flügge, ed.), Vol VI $a/2$, Springer, Berlin, 1972, pp. 1–295
J. K. Knowles, On finite anti-plane shear for incompressible elastic materials, J. Austral. Math. Soc. (series B) 19, 400–415 (1976)
J. K. Knowles, The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids, Int. J. Fracture 13, 611–639 (1977)
D. Gilbarg and N. S. Trudinger, Elliptic partial differential equations of second order, Springer-Verlag, Berlin, 1977
J. K. Knowles and E. Sternberg, An asymptotic finite-deformation analysis of the elastostatic field near the tip of a crack, J. Elasticity 3, 67–107 (1973)
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Article copyright:
© Copyright 1983
American Mathematical Society