[1] Liu Youwen and Guo Jianlin, Second order effects in an elastic half-space acted upon by anon-uniform normal load, Applied Mathematics and Mechanics (English Ed.), 15, 12 (1994),1149~1168.
[2] R. S. Rivlin, The solution of problems in second order elasticity theory, J. Ration. Mech.Analysis, 2 (1953), 52.
[3] A. E. Green and E. B. Spratt, Second order effect in the deformation of elastic solids, Proc.R. Soc. London, A224 (1954), 347.
[4] C. A. Truesdell and W. Noll, The Nonlinear Field Theories of Mechanics, Handbuch der Physik (Ed. S. Flugge), Vol. III/3, Springer-Verlag, Berlin (1965).
[5] A. E. Green and J. E. Adkins, Large Elastic Deformations (2nd ed.), Oxford University Press(1970).
[6] W. H. Goodman and P. M. Naghdi, The use of displacement potentials in second orderelasticity, J. Elasticity, 22 (1989), 25.
[7] C. Chan and D. E. Carlson, Second order incompressible elastic torsion, Int. J Engrg. Sci., 8(1970), 415.
[8] A. P. S. Selvadurai and A. J. M. Spencer, Second-order elasticity with axial symmetry-I,General theory, Int. J. Engrg . Sci., 10 (1972), 97.
[9] M. M. Carroll and F. J. Mooney, Simplification of the second-order problem forincompressible elastic solids, Q. J. Mech. Appl. Math., 37 (1984), 261.
[10] K. L. Lindsay, A problem in second order elasticity, J. Elasticity, 15 (1985), 335.[11] I. Choi and R. T. Shield, Second-order effects in problems for a class of elastic materials, Z.Angew. Math. Phys., 32 (1981), 361.
[12] A. Signorini, Transformazioni termoelastiche finite, Annali Mat. Pure Appl., 30 (1949), 10.[13] F. Stoppeli, Un teorema di esistenza e di unicita relativo alle equazioni dell' elastostaticaisoterma per deformazioni finite, Ricerche Mat., 3 (1954), 247~267.
[14] F. Stoppeli, Sulla svilluppabilita in serie di potenze di un parametro delle soluzioni delleequazioni dell' elastostatica isoterma, Ric. Mat., 4 (1955), 58~73.
[15] I. N. Sneddon, The Use of Transform Methods in Elasticity, Tech. Report. AFOSR64~1789, North Carolina State University, Rayleigh, N. C. (1964).
[16] V. Cerruti, Rierehe intono all equilibric de corpi elastici isotropi, Atti. Accord. NazL Lincei.Me. Classe, Sci. Fis. Met. Nat., 13 (1882), 81.
[17] R. Muki, Asymmetric problems of the theory of elasticity for a send-infinite solid and a thickplate, in Progress in Solid Mechanics, I. N. Sneddon and R. Hill Editors, North-Holland Publish Co., Amsterdam (1960), 401.
[18] I. N. Sneddon, On Muki's solutions of the equation of linear elasticity, Int. J. Engrg. Set., 30(1992), 1237.
[19] J. Guo, Second order effects in an elastic half-space acted upon by non-uniform loads,Master thesis, Department of Mathematics and Statistics, University of Windsor (1992). |