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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Further two-dimensional effects of cylinders rolling on an elastic half-space


Author: A. M. Roberts
Journal: Quart. Appl. Math. 29 (1971), 17-28
DOI: https://doi.org/10.1090/qam/99766
MathSciNet review: QAM99766
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  • J. Cole and J. Huth, Stresses produced in a half plane by moving loads, J. Appl. Mech. 25 (1958), 433–436. MR 0099772
  • J. W. Craggs and A. M. Roberts, On the motion of a heavy cylinder over the surface of an elastic half space, J. Appl. Mech. 34, 207–209 (1967) L. A. Galin, Contact problems of the theory of elasticity, GITTL, Moscow, (Russian), 1963 R. V. Gol’dštein, Rayleigh waves and resonance phenomena in elastic bodies, J. Appl. Math. Mech. 29, 608–619 (1965) D. L. Lansing, The displacements in an elastic half space due to a moving concentrated normal load, NASA Technical Report R-238, 1966 N. I. Mushelišvili, Some fundamental problems in the mathematical theory of elasticity. Fundamental equations, plane theory of elasticity and bending, Izdat. Akad. Nauk SSSR, Moscow, 1949; English transl., Noordhoff, Groningen, 1953
  • J. R. M. Radok, On the solution of problems of dynamic plane elasticity, Quart. Appl. Math. 14 (1956), 289–298. MR 81075, DOI https://doi.org/10.1090/S0033-569X-1956-81075-X
  • A. M. Roberts, Two-dimensional effects of loads moving on the surface of elastic and thermoelastic half spaces, Ph. D. Thesis, University of Melbourne, 1969 A. M. Roberts, A two-dimensional mixed boundary-value problem in elasticity, Quart. Appl. Math. 28, 445–449 (1970)
  • Ian N. Sneddon, The stress produced by a pulse of pressure moving along the surface of a semi-infinite solid, Rend. Circ. Mat. Palermo (2) 1 (1952), 57–62. MR 75767, DOI https://doi.org/10.1007/BF02843720


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Article copyright: © Copyright 1971 American Mathematical Society