Isochromatic lines and dynamic punching of a stressed elastic plate
Authors:
D. W. Barclay, R. J. Tait and T. B. Moodie
Journal:
Quart. Appl. Math. 44 (1987), 757-772
DOI:
https://doi.org/10.1090/qam/99614
MathSciNet review:
QAM99614
Full-text PDF Free Access
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Abstract: Diagrams of the developing isochromatic curve patterns associated with the dynamic stress field of a normally impacted isotropic plate under uniaxial tension are computed to show the accompanying wave fronts and zones of stress when plugging occurs.
D. W. Barclay, T. B. Moodie, and J. B. Haddow, Analysis of unloading waves from a suddenly punched hole in an axially loaded elastic plate, Wave Motion 3 (No. 1), 105–113 (1981)
- Julius Miklowitz, Plane-stress unloading waves emanating from a suddenly punched hole in a stretched elastic plate, J. Appl. Mech. 27 (1960), 165–171. MR 0110311
- G. N. Savin, Stress concentration around holes, International Series of Monographs in Aeronautics and Astronautics. Division I: Solid and Structural Mechanics, V. 1. Pergamon Press, New York-Oxford-London-Paris, 1961. Translated by Eugene Gros; translation edited by W. Johnson. MR 0126979
- Kenny S. Crump, Numerical inversion of Laplace transforms using a Fourier series approximation, J. Assoc. Comput. Mach. 23 (1976), no. 1, 89–96. MR 436552, DOI https://doi.org/10.1145/321921.321931
J. B. Haddow and A. Mioduchowski, Waves from suddenly punched hole in plate subjected to uniaxial tension field, J. Appl. Mech. 46, 873–877 (1979)
E. Monch and R. Loreck, Application of plane photoplastic experiments, Symposium on photoelasticity (M. M. Frocht, ed.), Macmillan, New York, 1963
D. W. Barclay, T. B. Moodie, and J. B. Haddow, Analysis of unloading waves from a suddenly punched hole in an axially loaded elastic plate, Wave Motion 3 (No. 1), 105–113 (1981)
J. Miklowitz, Plane stress unloading waves emanating from a suddenly punched hole in a stretched elastic plate, J. Appl. Mech. 27, 165–171 (1960)
G. N. Savin, Stress concentration around holes, Pergamon, New York, 1961
K. S. Crump, Numerical inversion of Laplace transforms using a Fourier series approximation, J. Assoc. Comput. Mach. 23, 89–96 (1976)
J. B. Haddow and A. Mioduchowski, Waves from suddenly punched hole in plate subjected to uniaxial tension field, J. Appl. Mech. 46, 873–877 (1979)
E. Monch and R. Loreck, Application of plane photoplastic experiments, Symposium on photoelasticity (M. M. Frocht, ed.), Macmillan, New York, 1963
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Article copyright:
© Copyright 1987
American Mathematical Society