Capriz, G.; Guidugli, P. Podio The role of Fredholm conditions in Signorini’s perturbation method. (English) Zbl 0433.73035 Arch. Ration. Mech. Anal. 70, 261-288 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 9 Documents MSC: 74B20 Nonlinear elasticity 74G60 Bifurcation and buckling 41A25 Rate of convergence, degree of approximation 74A99 Generalities, axiomatics, foundations of continuum mechanics of solids Keywords:Fredholm conditions; Signorini’s perturbation method; initial placement of ease; initial placement under stress; significance of static incompatibilities; static balance equations of elastic bodies under dead loads Citations:Zbl 0315.73062 PDFBibTeX XMLCite \textit{G. Capriz} and \textit{P. P. Guidugli}, Arch. Ration. Mech. Anal. 70, 261--288 (1979; Zbl 0433.73035) Full Text: DOI References: [1] Signorini, A., Sulle deformazioni termoelastiche finite. Proc. 3rd Int. Congr. Appl. Mech. 2. 80-89, 1930. · JFM 56.0687.02 [2] Signorini, A., Trasformazioni termoelastiche finite. Memoria 2a. Ann. Mat. Pura Appl., IV, 30, 1-72, 1949. · Zbl 0036.39502 · doi:10.1007/BF02414999 [3] Capriz, G., & P. Podio Guidugli, On Signorini’s perturbation method in finite elasticity. Arch. Rational Mech. Anal. 57, (1), 1-30, 1974. · Zbl 0315.73062 · doi:10.1007/BF00287095 [4] Ericksen, J.L., & R.A. Toupin, Implications of Hadamard’s condition for elastic stability with respect to uniqueness theorems. Canad. J. Math. 8, 432-436, 1956. Reprinted in Foundations of Elasticity Theory. Intl. Sci. Rev. Ser. Gordon & Breach, 1965. · Zbl 0071.39801 · doi:10.4153/CJM-1956-051-2 [5] Bordoni, P.G., Sopra le trasformazioni termoelastiche finite di certi solidi omogenei ed isotropi. Rend. Mat. Applic. V, 12 (3-4), 1953. · Zbl 0056.18202 [6] Fichera, G., Lezioni sulle trasformazioni lineari. Ist. Matem. Università Trieste, Ed. Veschi, 1954. · Zbl 0057.33601 [7] Vainberg, M.M., & V.A. Trenogin, Theory of branching of solutions of non-linear equations, Leyden: Noordhoff, 1974. · Zbl 0274.47033 [8] Truesdell, C., & W. Noll, The non-linear field theories of mechanics. Encycl. of Physics, Vol. III/3. Berlin-Heidelberg-New York: Springer, 1965. · Zbl 0779.73004 [9] Truesdell, C., & R.A. Toupin, The classical field theories. Encycl. of Physics, Vol. III/1. Berlin-Göttingen-Heidelberg: Springer, 1960. [10] Beatty, M.L., Some static and dynamic implications of the general theory of elastic stability. Arch. Rational Mech. Anal. 19, 167-188, 1965. · Zbl 0269.73043 · doi:10.1007/BF00277007 [11] Capriz, G., Sui casi di incompatibilito tra l’elastostatica classica e la teoria delle deformazioni elastiche finite. Riv. Mat. Univ. Parma 10, 119-129, 1959. · Zbl 0106.17002 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.