3220 Equations 



Elastic Deformation 



3220 



Clebsch's " Theorie der Elasticitat," 18, error 

 in. Preobrazenskij, P. V. Mosc. S. Sc. Bll 

 83 (No. 2) (1894) 19-; Fschr. Ps. (1895) 

 (Ab: 1) 406. 



Displacements due to any forces. Kretz, X. 

 C. E. 101 (1885) 366. 



in homogeneous medium due to small 

 expansions or contractions. Boussinesq, J. 

 . C. E. 94 (1882) 1648-. 



EQUATIONS. 



Somigliana, C. A. Mt. 17 (1889-90) 37-. 



Cosserat, E., <& Cosserat, F. C. E. 126 (1898) 

 1089-. 



Dougall, J. Edinb. Mth. S. P. 16 (1898) 82-. 



of amorphous bodies under permanent com- 

 pression, formulas. Saint Venant, B. de. 

 Liouv. J. Mth. 13 (1868) 242-. 



application to finite bodies, criticism. Jaerisch, 

 P. G. M. Hamb. Mth. Gs. Mt. 1 (1889) 



of circular cylinder. Jaerisch, P. [1895] 

 Hamb. Mth. Gs. Mt. 3 (1900) 202-. 



continuous body, general solution of 

 equations. Morera, G. Em. E. Ac. Line. 

 Ed. 1 (1892) (Sem. 1) 137-, 233-. 



, (Morera). Beltrami, E. 



Em. E. Ac. Line. Ed. 1 (1892) (Sem. 1) 



curve formed by elastic strip acted on by any 

 forces. Plana, G. [1809] Turin Mm. Ac. 

 (1809-10) (pte. 2) 123-. 



of loaded straight rod. Weyrauch, J. J. 

 Z. Mth. Ps. 18 (1873) 392-. 



, skew, integration. Binet, J. P. M. C. 



E. 18 (1844) 1115-. 

 , , . Wanted, L. C. E. 18 (1844) 



1197-. 

 curves of bending-moments and shearing. 



Hulewicz, M. A. Pon. Chauss. 8 (1884) 



102-. 

 in curvilinear coordinates. Levy, M. Bll. Sc. 



Mth. As. 6 (1874) 214-. 

 . Tedone, 0. Tor. Ac. Sc. At. 34 (1898) 



786- or 1054-. 



, use in theories of potential and 

 elasticity. Beltrami, E. Bologna Ac. Sc. 

 Mm. 6 (1884) 401-. 



of deformation, general equation. Langlois, 

 L. Par. Ing. Civ. Mm. (1893) (Pt. 1) 

 120-. 



, torsional, of elastic prisms, new method. 



Saint-Venant, B. de. C. E. 59 (1864) 806-. 



differential, of flexure of elastic bars, integra- 

 tion. Resal, H. A. Mines 12 (1867) 127-. 



of dynamics, differential. Padova, E. Ven. I. 

 At. (1893-94) 1641-. 



, general. Padova, E. Em. E. Ac. Line. 



Ed. 7 (1891) (Sem. 1) 197-. 



effect of small deformations on elastic 

 forces. Saint-Venant, B. de. Liouv. J. Mth. 

 16 (1871) 275-; C. E. 72 (1871) 355-, 391-. 



electromagnetism and elasticity, analogy. 

 Davies, J. E. Wise. Ac. T. 9 (1893) 1-. 



fundamental. Seydler, A. Casopis 17 (1888) 

 97-; Fschr. Ps. (1888) (Ab. 1) 344. 



general. Beltrami, E. A. Mt. 10 (1880-82) 



188-. 

 generalised, application to wave theory of light. 



Pearson, K. L. Mth. S. P. 20 (1889) 



297-. 

 integration. Tedone, O. Em. E. Ac. Line. 



Ed. 5 (1896) (Sent. 1) 460-. 

 of internal motions of ductile solids. Saint- 

 Venant, B. de. G. E. 70 (1870) 473-; Liouv. 



J. Mth. 16 (1871) 373-. 

 . Levy, M. C. E. 70 (1870) 



1323-; 73 (1871) 1098-. 

 : . Boussinesq, J. C. E. 74 



(1872) 450-. 



(St. Venant). Combescure, 



E. C. E. 74 (1872) 1041-. 



(supplement to Levy's 

 memoir). Saint-Venant, B. de. C. E. 74 

 (1872) 1083-. 



isostatic cylinders, integration of partial 

 differential equations. Boussinesq, J. C. 

 E. 74 (1872) 318- ; 77 (1873) 667-. 



isotropic body, integration. Somigliana, C. 

 N. Cim. 36 (1894) 28-, 113-. 



media, expression V 2 .F and differential 



equations. Pochhammer, L. Z. Mth. Ps. 



19 (1874) 234-. 

 solids, in polar and cylindrical coordinates. 



Chree, C. [1887] Camb. Ph. S. T. 14 



(1889) 250-. 

 of revolution, integration. Jaerisch, P. 



[1896] Hamb. Mth. Gs. Mt. 3 (1900) 



line integrals. Kohl, -E. Mh. Mth. Ps. 9 

 (1898) 215-. 



in mathematical physics, form in polar co- 

 ordinates of certain expressions. Chree, C. 

 Edinb. Mth. S. P. 3 (1885) 109-. 



of motion. Lauricella, G. [1895] Tor. Ac. 

 Sc. Mm. 45 (1896) 295-. 



in 2 dimensions of solid, integration. 



Moon, E. [1873] (x) QJ. Mth. 13 (1875) 149-. 



for isotropic body, integration. Volterra, 



V. Em. E. Ac. Line. Ed. 2 (1893) (Sem. 1 

 549-. 



orthogonal coordinates, general, transformation 

 into. Borchardt, C. W. Crelle J. 76 (1873) 

 45- ; Bll. Sc. Mth. As. 8 (1875) 191-. 



transformation with reference to theory of 

 strain and stress, invariants. Sharp, W. J. C. 

 L. Mth. S. P. 13 (1881-82) 216-. 



of rotating bodies. Chree, C. QJ. Mth. 23 



(1889) 11-. 

 simultaneous functions of same species. 



Gosiewski, W. Par. T. Nauk Sc. Pam. 1 



(*1871) 57-, 183- ; Bll. Sc. Mth. As. 6 (1874) 



151-. 

 solution, with application to dispersion. 



Jaerisch, P. Hamb. Mth. Gs. Mt. 1 (1889) 



88-. 

 , semi-inverse method. Chree, C. Camb. 



Ph. S. T. 17 (1899) 201-. 

 , unique, of elastic problems, conditions for. 



Wesendonck, K. A. Ps. C. 35 (1888) 121-. 

 solutions, special, expansions in series. 



Lauricella, G. Tor. Ac. Sc. At. 34 



11-. 



