Dynamic elastic-plastic buckling of rectangular plates in sustained flow
Authors:
Hilton Ramsey and Henry Vaughan
Journal:
Quart. Appl. Math. 28 (1971), 473-487
DOI:
https://doi.org/10.1090/qam/99775
MathSciNet review:
QAM99775
Full-text PDF Free Access
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Additional Information
A. Florence and J. N. Goodier, Dynamic plastic buckling of cylindrical shells in sustained axial compressive flow, Trans. ASME Ser. E. J. Appl. Mech. 35, 80–86 (1968)
J. N. Goodier, Dynamic buckling of rectangular plates in sustained plastic compressive flow, Engineering plasticity, Proc. Internat. Conference Plasticity (Cambridge, England, 1968) Cambridge Univ. Press, Cambridge, 1968
H. Vaughan, The response of a plastic cylindrical shell to axial impact, Z. Angew. Math. Phys. 20 321–328 (1969)
- A. E. Green and P. M. Naghdi, A general theory of an elastic-plastic continuum, Arch. Rational Mech. Anal. 18 (1965), no. 4, 251–281. MR 1553473, DOI https://doi.org/10.1007/BF00251666
H. Ramsey, On the stability of elastic-plastic and rigid-plastic plates of arbitrary thickness, and flat bars of arbitrary width, Internat. J. Solids Structures 5, 921–940 (1969)
- A. E. Green and W. Zerna, Theoretical elasticity, Oxford, at the Clarendon Press, 1954. MR 0064598
- R. Hill, The Mathematical Theory of Plasticity, Oxford, at the Clarendon Press, 1950. MR 0037721
S. Timoshenko and Woinowsky-Krieger, Theory of plates and shells, 2nd ed., McGraw-Hill, New York, 1959, p. 380
H. Vaughan and A. L. Florence, Plastic flow buckling of cylindrical shells due to impulsive loading, presented in summary at the twelfth Internat. Congress Appl. Mech., 1968; J. Appl. Mech. 37, 171–179 (1970)
A. Florence and J. N. Goodier, Dynamic plastic buckling of cylindrical shells in sustained axial compressive flow, Trans. ASME Ser. E. J. Appl. Mech. 35, 80–86 (1968)
J. N. Goodier, Dynamic buckling of rectangular plates in sustained plastic compressive flow, Engineering plasticity, Proc. Internat. Conference Plasticity (Cambridge, England, 1968) Cambridge Univ. Press, Cambridge, 1968
H. Vaughan, The response of a plastic cylindrical shell to axial impact, Z. Angew. Math. Phys. 20 321–328 (1969)
A. E. Green and P. M. Naghdi, A general theory of an elastic-plastic continuum, Arch. Rational Mech. Anal. 18, 251–281 (1965); corrigenda, ibid. 19, 408 (1965)
H. Ramsey, On the stability of elastic-plastic and rigid-plastic plates of arbitrary thickness, and flat bars of arbitrary width, Internat. J. Solids Structures 5, 921–940 (1969)
A. E. Green and W. Zerna, Theoretical elasticity, Clarendon Press, Oxford, 1954
R. Hill, The mathematical theory of plasticity, Clarendon Press, Oxford, 1950
S. Timoshenko and Woinowsky-Krieger, Theory of plates and shells, 2nd ed., McGraw-Hill, New York, 1959, p. 380
H. Vaughan and A. L. Florence, Plastic flow buckling of cylindrical shells due to impulsive loading, presented in summary at the twelfth Internat. Congress Appl. Mech., 1968; J. Appl. Mech. 37, 171–179 (1970)
Additional Information
Article copyright:
© Copyright 1971
American Mathematical Society