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Stazi, L.

Sul teorema di Liouville per deformazioni conformi. (Italian) Zbl 0492.73033

Rend. Sem. Mat. Univ. Padova 64, 85-92 (1981).
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MSC:

74B20 Nonlinear elasticity
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
74G50 Saint-Venant’s principle
74B99 Elastic materials
74C99 Plastic materials, materials of stress-rate and internal-variable type
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
53B50 Applications of local differential geometry to the sciences

Keywords:

compatibility conditions; every 3-dimensional conformal deformation; equivalent to direct similarity and inversion by reciprocal radius-vector
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References:

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[3] G. Ferrarese , Lezioni di meccanica superiore , Veschi , Roma ( 1968 ).
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[6] F. Pastrone , Sulle condizioni di congruenza per deformazioni finite , Rend. Sem. Mat. Torino , 28 ( 1969 ), pp. 1 - 12 . MR 258344 | Zbl 0254.73041 · Zbl 0254.73041
[7] M. Picone , Appunti di analisi superiore , Rondinella , Napoli ( 1940 ). MR 5359 | Zbl 0024.02302 · Zbl 0024.02302
[8] A. Signorini , Sulle deformazioni finite dei sistemi continui , Rend. Lincei , ( 6 ), 12 ( 1930 ), pp. 312 - 316 . JFM 56.0687.02 · JFM 56.0687.02
[9] A. Signorini , Trasformazioni termoelastiche finite , Mem. Ann. Matem. , IV , 22 ( 1943 ), pp. 33 - 143 . MR 18090 | Zbl 0063.07023 · Zbl 0063.07023 · doi:10.1007/BF02418157
[10] C. Truesdell - R.A. Toupin , The classical field theories , Handbuch der Physik , Band III / I , Springer-Verlag ( 1960 ). MR 118005
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