Integral equations of the first kind in plane elasticity
Author:
Christian Constanda
Journal:
Quart. Appl. Math. 53 (1995), 783-793
MSC:
Primary 73C02; Secondary 35Q72, 45N05, 73V99
DOI:
https://doi.org/10.1090/qam/1359511
MathSciNet review:
MR1359511
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Abstract: A modified single layer potential is used to solve the interior and exterior Dirichlet problems of plane strain by means of integral equations of the first kind for all smooth boundary curves, including those on which the classical method fails to operate.
F. J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics, Quart. Appl. Math. 25, 83–95 (1967)
C. Constanda, On the direct method of boundary integral equations in plane elasticity, Quart. J. Mech. Appl. Math. 47, 261–268 (1994)
G. C. Hsiao and W. L. Wendland, On a boundary integral method for some exterior problems in elasticity, Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 18, 31–60 (1985)
C. Constanda, The boundary integral equation method in plane elasticity, Proc. Amer. Math. Soc. 123, 3385–3396 (1995)
N. I. Muskhelishvili, Some basic problems in the mathematical theory of elasticity, 3rd ed., P. Noordhoff, Groningen, 1949
F. J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics, Quart. Appl. Math. 25, 83–95 (1967)
C. Constanda, On the direct method of boundary integral equations in plane elasticity, Quart. J. Mech. Appl. Math. 47, 261–268 (1994)
G. C. Hsiao and W. L. Wendland, On a boundary integral method for some exterior problems in elasticity, Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 18, 31–60 (1985)
C. Constanda, The boundary integral equation method in plane elasticity, Proc. Amer. Math. Soc. 123, 3385–3396 (1995)
N. I. Muskhelishvili, Some basic problems in the mathematical theory of elasticity, 3rd ed., P. Noordhoff, Groningen, 1949
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Article copyright:
© Copyright 1995
American Mathematical Society
