Three-dimensional elasticity problems for the prismatic bar

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 462, Issue 2070, 2006, Pages 1877-1896

  Barber, J R ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Papkovich Neuber solution; Prismatic bar; Three dimensional elasticity

Indexed keywords

EID: 33749350539     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2005.1646     Document Type: Article

References (14)

1. Almansi, E. 1901a Sopra la deformazione dci cilinri solccitati lateralmente. Atti Real Accad. Naz. Lincei Rend, Cl. Sci Fis., Mat Nat. Ser. 5 10, 333-338.
2. Almansi, E. 1901b Sopra la deformazione dei cilinri solecitati lateralmente. Atti Real Accad. Naz. Lincei Rend, Cl. Sci Fis., Mat Nat. Ser. 5 10, 400-408.
3. Barber, J. R. 2002 Elasticity, 2nd edn. Dordrecht: Kluwer.
4. Eubanks, R. A. & Sternberg, E. 1956 On the completeness of the Boussinesq-Papkovich stress functions. J. Rat. Mech. Anal 5, 735-746.
5. Green, A. E. 1949 The elastic equilibrium of isotropic plates and cylinders. Proc. R. Soc. A 195, 533-552.
6. Green, A. E. & Zerna, W. 1954 Theoretical elasticity. Oxford: Clarendon Press.
7. Love, A. E. H. 1927 A treatise on the mathematical theory of elasticity, 4th edn. Cambridge: Cambridge University Press.
8. Michell, J. H. 1901 The theory of uniformly loaded beams. Q. J. Math. 32, 28-42.
9. Milne-Thomson, L. M. 1962 Antiplane elastic systems. Berlin: Springer.
10. Milne-Thomson, L. M. 1968 Plane elastic systems, 2nd edn. Berlin: Springer.
11. Muskhelishvili, N. I. 1963 Some basic problems of the mathematical theory of elasticity. Groningen: Noordhoff.
12. Sokolnikoff, I. S. 1956 Mathematical theory of elasticity, 2nd edn. New York: McGraw-Hill.
13. Stevenson, A. C. 1943 Some boundary problems of two-dimensional elasticity. Phil. Mag. 34, 766-793.
14. Stevenson, A. C. 1945 Complex potentials in two-dimensional elasticity. Proc. R. Soc. A 184, 129-179.