Rivlin, R. S. Two-dimensional constitutive equations. (English) Zbl 0516.73001 Rend. Sem. Mat. Univ. Padova 68, 279-293 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 74A20 Theory of constitutive functions in solid mechanics 74Axx Generalities, axiomatics, foundations of continuum mechanics of solids 74A99 Generalities, axiomatics, foundations of continuum mechanics of solids Keywords:two dimensional equations; isotropic and memory dependent materials; first principle; Cauchy stress as functional of history of deformation gradient; principle of objectivity; Cauchy stress as functional of Green deformation measure; constitutive functionals; constitutive relations; small deformations; dimensional fluid body PDFBibTeX XMLCite \textit{R. S. Rivlin}, Rend. Semin. Mat. Univ. Padova 68, 279--293 (1982; Zbl 0516.73001) Full Text: Numdam EuDML References: [1] A.E. Green - R. S. RIVLIN , Arch. Rational Mech. Anal. , 1 ( 1957 ), p. 1 . MR 95628 | Zbl 0079.17602 · Zbl 0079.17602 · doi:10.1007/BF00297992 [2] A.E. Green - R. S. RIVLIN , Arch. Rational Mech. Anal. , 5 ( 1960 ), p. 387 . MR 112329 [3] A.E. Green - R. S. RIVLIN - A. J. M. SPENCER , Arch. Rational Mech. Anal. , 3 ( 1959 ), p. 82 . MR 103650 | Zbl 0088.17101 · Zbl 0088.17101 · doi:10.1007/BF00284166 [4] A.J.M. Spencer - R.S. Rivlin , Arch. Rational Mech. Anal. , 4 ( 1960 ), p. 214 . MR 109830 | Zbl 0095.25103 · Zbl 0095.25103 · doi:10.1007/BF00281388 [5] A.S. Wineman - A. C. PIPKIN , Arch. Rational Mech. Anal. , 17 ( 1964 ), p. 184 . MR 171421 | Zbl 0126.40604 · Zbl 0126.40604 · doi:10.1007/BF00282437 [6] L.A. Liusternik - V.J. Sobolev , Elements of Functional Analysis , Ungar , New York ( 1961 ). MR 141967 | Zbl 0096.07802 · Zbl 0096.07802 [7] R.S. Rivlin , J. Rational Mech. Anal. , 4 ( 1955 ), p. 681 . MR 71980 | Zbl 0064.42101 · Zbl 0064.42101 [8] R.S. Rivlin , Rheologica Acta (in the press). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.