×

The role of Fredholm conditions in Signorini’s perturbation method. (English) Zbl 0433.73035


MSC:

74B20 Nonlinear elasticity
74G60 Bifurcation and buckling
41A25 Rate of convergence, degree of approximation
74A99 Generalities, axiomatics, foundations of continuum mechanics of solids

Citations:

Zbl 0315.73062
PDFBibTeX XMLCite
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.