On the non-uniqueness of elastic rotations for deformations of materials with elastic range
Author:
David R. Owen
Journal:
Quart. Appl. Math. 32 (1974), 355-359
MSC:
Primary 73.53
DOI:
https://doi.org/10.1090/qam/438879
MathSciNet review:
438879
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Abstract: In this note precise definitions of the concepts of elastic and permanent deformation are used to establish non-uniqueness of elastic rotations for deformations of materials with elastic range.
- David R. Owen, A mechanical theory of materials with elastic range, Arch. Rational Mech. Anal. 37 (1970), 85–110. MR 260257, DOI https://doi.org/10.1007/BF00281664
E. H. Lee, J. Appl. Mech. 36, 1 (1969)
- Jean Mandel, Distribution des vitesses de contrainte et de déformation dans un milieu élastique-viscoplastique en transformation quasi statique, contenue, isotherme, C. R. Acad. Sci. Paris Sér. A-B 273 (1971), A1285–A1288 (French). MR 292359
J. R. Willis, J. Mech. Phys. Solids 17, 359 (1969)
- C. Truesdell and W. Noll, The non-linear field theories of mechanics, Handbuch der Physik, Band III/3, Springer-Verlag, Berlin, 1965, pp. 1–602. MR 0193816
D. R. Owen, Department of Mathematics Technical Report 72–1, January, 1972, Carnegie-Mellon University
D. R. Owen, Arch. Rational Mech. Anal. 37, 85 (1970)
E. H. Lee, J. Appl. Mech. 36, 1 (1969)
J. Mandel, C. R. Acad. Sci. Paris 272, Ser. A., 276 (1971)
J. R. Willis, J. Mech. Phys. Solids 17, 359 (1969)
C. Truesdell and W. Noll, The non-linear field theories of mechanics, in Handbuch der Physik III/2, edited by S. Flugge, Berlin-Gottingen-Heidelberg, Springer, 1965
D. R. Owen, Department of Mathematics Technical Report 72–1, January, 1972, Carnegie-Mellon University
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Article copyright:
© Copyright 1974
American Mathematical Society
