Concentrated force solutions for an inhomogeneous thick elastic plate

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 51, Issue 4, 2000, Pages 573-590

  Spencer, A J M ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Concentrated forces; Elastic plates; Inhomogeneous material

Indexed keywords

EID: 0034336402     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000330050018     Document Type: Article

References (10)

1. T. G. Rogers and A. J. M. Spencer, Thermoelastic stress analysis of moderately thick inhomogeneous and laminated plates. Int. J. Solids Structures 25 (1989), 1467-1482.
2. T. G. Rogers, Exact three-dimensional bending solutions for inhomogeneous and laminated elastic plates. In: Elasticity, Mathematical Methods and Applications, G. Eason and R.W. Ogden, eds., Ellis Horwood, Chichester 1990, pp. 301-313.
3. A. J. M. Spencer, Three-dimensional elasticity solutions for stretching of inhomogeneous and laminated plates. In: Elasticity, Mathematical Methods and Applications, G. Eason and R.W. Ogden, eds., Ellis Horwood, Chichester, 1990, pp. 347-356.
4. A. J. M. Spencer, A stress function formulation for a class of exact solutions for functionally graded elastic plates. In IUTAM Symposium on Transformation Problems in Composite and Active Materials, Y.A Bahei-el-Din and G.J. Dvorak, eds., Kluwer Academic Publishers, Dordrecht, 1998, pp. 161-172.
5. M. Abid Mian and A.J.M. Spencer, Exact solutions for functionally graded and laminated elastic materials. J. Mech. Phys. Solids 46 (1998), 2283-2295.
6. A. J. M. Spencer and A. P. S. Selvadurai, Some generalized anti-plane strain problems for an inhomogeneous elastic halfspace. J. Engineering Mathematics 34 (1998), 403-416.
7. J. H. Michell, On the direct determination of stress in an elastic solid, with applications to the theory of plates. Proc. London Math. Soc. 31 (1900), 100-124.
8. P. V. Kaprielian, T. G. Rogers and A. J. M. Spencer, Theory of laminated elastic plates I. Isotropic laminae. Phil. Trans. Roy .Soc. Lond. A324 (1988), 65-594.
9. A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th edition, Cambridge University Press, Cambridge 1927.
10. S. Timoshenko and J.N. Goodier, Theory of Elasticity, McGraw Hill, New York 1951.