On the stress distribution in anisotropic infinite wedges
Author:
J. P. Benthem
Journal:
Quart. Appl. Math. 21 (1963), 189-198
DOI:
https://doi.org/10.1090/qam/156517
MathSciNet review:
156517
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Abstract |
References |
Additional Information
Abstract: The differential equation for Airy’s stress function is given in oblique coordinates. The stresses are written as sums of four functions of complex variables. To these sums and to the boundary conditions the Mellin transform is applied. The inverse transform delivers the formal solution.
- C. J. Tranter, The use of the Mellin transform in finding the stress distribution in an infinite wedge, Quart. J. Mech. Appl. Math. 1 (1948), 125–130. MR 25666, DOI https://doi.org/10.1093/qjmam/1.1.125
- Ian N. Sneddon, Fourier Transforms, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1951. MR 0041963
- H. A. Lang, The affine transformation for orthotropic plane-stress and plane-strain problems, J. Appl. Mech. 23 (1956), 1–6. MR 0075764
J. P. Benthem and J. v. d. Vooren, On the stress problem of anisotropic wedges, Nat. Aer. Res. Inst. Techn. Note S. 537, Amsterdam, 1959
- A. E. Green and W. Zerna, Theoretical elasticity, Oxford, at the Clarendon Press, 1954. MR 0064598
J. P. Benthem, On the affine transformation for aeolotropic plane-stress and plane strain problems, J. Appl. Mech. 30 (1963) 143
M. L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension, J. Appl. Mech. 19 (1952) 526
J. P. Benthem and G. M. van Eek, Stress distribution in a wedge of certain anisotropy loaded in its plane, Nat. Aer. Res. Inst. Techn. Note
L. N. G. Filon, On a quadrature formula for trigonometric integrals, Proc. Roy. Soc. Edinburgh, 49 (1928–29) 38
L. Ricci, Tavola di radici di basso modulo di un’ equazione interessante la scienza delle costruzioni, Publicazioni dell’ Instituto de la Applicazioni del Calcolo. Roma. N.296
C. J. Tranter, The use of the Mellin transform in finding the stress distribution in an infinite wedge, Quart. J. Mech. Appl. Math. 1 (1948) 125
I. N. Sneddon, Fourier transforms, McGraw-Hill Book Company, Inc., New York, 1951
H. A. Lang, Affine transformation for orthotropic plane stress and plane strain, J. Appl. Mech. 23 (1956) 1
J. P. Benthem and J. v. d. Vooren, On the stress problem of anisotropic wedges, Nat. Aer. Res. Inst. Techn. Note S. 537, Amsterdam, 1959
A. E. Green and W. Zerna, Theoretical elasticity, Clarendon Press, Oxford, 1954
J. P. Benthem, On the affine transformation for aeolotropic plane-stress and plane strain problems, J. Appl. Mech. 30 (1963) 143
M. L. Williams, Stress singularities resulting from various boundary conditions in angular corners of plates in extension, J. Appl. Mech. 19 (1952) 526
J. P. Benthem and G. M. van Eek, Stress distribution in a wedge of certain anisotropy loaded in its plane, Nat. Aer. Res. Inst. Techn. Note
L. N. G. Filon, On a quadrature formula for trigonometric integrals, Proc. Roy. Soc. Edinburgh, 49 (1928–29) 38
L. Ricci, Tavola di radici di basso modulo di un’ equazione interessante la scienza delle costruzioni, Publicazioni dell’ Instituto de la Applicazioni del Calcolo. Roma. N.296
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Article copyright:
© Copyright 1963
American Mathematical Society
