3210 Expansion 



Elasticity 



Least Action 3210 



Distribution of stress in elastic cylinder. 



Hertz, H. E. Z. Mth. Ps. 28 (1883) 125-. 

 rectangular beam, and in mass of 



earth. Ocagne, M. d\ Par. S. Mth. Bll. 12 



(1884) 27-. 

 solid loaded transversely. 



Flamant, . C. B. 114 (1892) 1465-. 

 Elastic systems and electric currents, analogy. 



Ulbricht, B. Giving. 34 (1888) 111-. 

 Elasticity in working machinery. Kretz, . 



[1865] C. K. 61 (1865) 164- ; Par. Mm. Sav. 



Etr. 22 (1876) M. 15, 38pp. 

 (Kretz). Phillips, E. C. E. 76 



(1873) 528-. 

 ( ). Hirn,G.A. C. B. 81 (1875) 



72. 

 and power transmission. Demjanow, 



M. N. Fschr. Ps. (1895) (Ab. 1) 343. 



EXPANSION. 



and compressibility of bodies. Dupre, A. C. 

 E. 59 (1864) 490-, 768-. 



compression lines, with applications to 

 mechanics and hydrostatics. Maggi, P. G. 

 Poligrafo 6 (1835) 3-; 7 (1835) 49-. 



cubic, of isotropic elastic body in space of 

 constant curvature. Somigliana, C. A. Mt. 

 16 (1888-89) 101-. 



extension and compression of bodies, laws. 

 Steen, A. (xn) Ts. Mth. 1 (1871) 114-. 



law. Thompson, J. O. A. Ps. C. 44 (1891) 

 555-. 



(Thompson). Miller, A. A. Ps. C. 45 



(1892) 191-. 



. Mehmke, R. Z. Mth. Ps. 42 (1897) 



327-. 

 , Bach-Schiile's. Mehmke, R. D. Mth. 



Vr. Jbr. 6 (1899) (Heft 1) 122. 

 of hollow bodies. Kurz, A. Z. Mth. Ps. 38 



(1893) 224-. 



and rotation in elastic media. Cesdro, E. Mil. 



I. Lomb. Ed. 24 (1891) 459-. 

 of solids, determination by pendulum method. 



Weber, R. C. B. 103 (1886) 553-; Neuch. S. 



Sc. Bll. 15 (1886) 177-. 

 , . Guillaume, C. E. C. B. 



103 (1886) 689-; Arch. Sc. Ps. Nt. 16 (1886) 



393-. 

 , . Svesnikov, P. I. Kazan 



S. Nt. (Ps.-Mth.) P. 7 (1889) 3. 



, internal work, and Poisson's ratio. 

 Boggio-Lera, E. Em. E. Ac. Line. Ed. 2 

 (1893) (Sem. 2) 43-. 



, theory. Cipolletti, D. Bologna Ed. 

 (1869) 69-; (xn) Bv. Sc.-Ind. 4 (1872) 139-, 

 174-, 252-, 344-. 



, thermal and mechanical. Kurz, A. 

 A. Ps. C. Ergdnz. 6 (1874) 314-. 



variation in length of iron bar subjected to 

 various forces. Pictet, M. A. Bb. Un. 1 

 (1816) 171-. 



Forces, elastic, 3 kinds. Ermakov, V. Mosc. 



S. Sc. Bll. 91 (No. 2) (1895) 3-; Fschr. Mth. 



(1895) 922-. 

 , , work. Keelhoff, F. Brux. A. Tr. Pbl. 



2 (1897) 637-; 3 (1898) 471-. 



externally applied to elastic solid, decomposi- 

 tion. Rankine, W. J. M. Edinb. B. S. T. 

 26 (1872) 715-. 



, normal and oblique, effects. Galliot, . 

 A. Pon. Chauss. 6 (1893) 111-. 



of 3rd order, composition. Ise, E. Nap. 

 Ac. Pont. At. 26 (1896) No. 8, 14 pp. 



Fundamental formulae. Zukovskij , N. E. Bee. 



Mth. (Moscou) 11 ("1883) 611-. 

 Homogeneity of solids, imperfect. Niven, C. 



Ph. Mg. 3 (1877) 241-. 



, semi-polar, polar, spherical, etc. 

 [Barre de] Saint-Venant, . C. E. 50 (I860) 

 930- ; Liouv. J. Mth. 10 (1865) 297-. 



Homogeneous solids. Stokes, G. G. Camb. 



and Dubl. Mth. J. 3 (1848) 130-. , 

 . Gosiewski, E. Par. T. Nauk Sc. Pam. 



1 ("1871) 1-; Bll. Sc. Mth. As. 6 (1874) 149-. 

 , isotropy. Merrifield, C. W. Mess. Mth. 



5 (1876) 113-. 



LEAST ACTION PRINCIPLE OF 

 ELASTICITY. 



(See also 3245.) 



Menabrea, L. F. C. E. 46 (1858) 1056- ; Tor. 



Mm. Ac. 25 (1871) 141- ; Tor. At. Ac. Sc. 5 



(1869-70) 710. 

 and least pressure. Cotterill, J. H. Ph. Mg. 



29 (1865) 299-. 

 Menabrea' s theorem. Parodi,A. Tor. At. Ac. 



Sc. 5 (1869-70) 690-. 

 . Barsotti, G. Tor. At. Ac. Sc. 5 (1869- 



70) 697-. 

 . Bertrand, J. Tor. At. Ac. Sc. 5 (1869- 



70) 702-. 

 . Yvon-Villarceau, A. Tor. At. Ac. Sc. 



5 (1869-70) 704-. 



. Gabba, A. [1874] Mil. I. Lomb. Mm. 

 13 (1877) 81-. 



. Menabrea, L. F. Em. E. Ac. Line. At. 



2 (1875) 201-. 



. Castigliano, A. Em. E. Ac. Line. At. 



2 (1875) lix-. 

 (Castigliano). Menabrea, L. F. Em. E. 



Ac. Line. At. 2 (1875) Ixij-. 

 . Cerruti, V. Em. B. Ac. Line. At. 2 



(1875) 570-. 

 . Donati, L. Bologna Ac. Sc. Mm. 4 



(1894) 449-. 

 ; application. Donati, L. Bologna Ac. 



Sc. Mm. 10 (1889) 267-. 

 , to architectural problems. Frdnkel, 



W. Hann. Archt.-Vr. Z. 28 (1882) 63-. 



Field of force, general formulae for representa- 

 tion by elastic forces. Somigliana, C. Mil. 

 I. Lomb. Ed. 23 (1890) 874-. 



Maxwell's formula, mechanical interpretation. 



Beltrami, E. Bologna Ac. Sc. Mm. 7 (1886) 



3-. 

 theory, interpretation of viscous effect of 



mechanically applied strains. Barus, C. 



Ph. Mg. 27 (1889) 155-. 



262 



