On statically admissible stress fields for a plane masonry-like structure
Authors:
Maurizio Angelillo and Fabio Rosso
Journal:
Quart. Appl. Math. 53 (1995), 731-751
MSC:
Primary 73C99; Secondary 73B99
DOI:
https://doi.org/10.1090/qam/1359508
MathSciNet review:
MR1359508
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Abstract: Explicit and directly verifiable nonlocal conditions for the existence of a statically admissible stress field in an ideal plane body that does not support tension in the absence of body forces are presented. These conditions are sufficient for nonconvex bodies and become necessary and sufficient restricting to convex bodies and to loads different from zero at any point of the boundary.
G. Del Piero, Recent developments in the mechanics of materials which do not support tension, Proc. Internat. Colloquium on Free Boundary Problems, Irsee, 1987. Research Notes in Mathematics, vol. 185, Pitman, 1990, pp. 2–24
G. Del Piero, Constitutive equations and compatibility of the external loads for linear elastic masonry-like materials, Meccanica 24, 3 (1989)
M. Giaquinta and E. Giusti, Researches on the equilibrium of masonry structures, Arch. Rational Mech. Anal. 88, 359–392 (1986)
M. E. Gurtin, The linear theory of elasticity, Handbuch der Physik, band VIa/2, 1972
G. Romano and E. Sacco, Sul calcolo di strutture non reagenti a trazione, Atti VII Congresso Aimeta, Trieste, 1984
G. Del Piero, Recent developments in the mechanics of materials which do not support tension, Proc. Internat. Colloquium on Free Boundary Problems, Irsee, 1987. Research Notes in Mathematics, vol. 185, Pitman, 1990, pp. 2–24
G. Del Piero, Constitutive equations and compatibility of the external loads for linear elastic masonry-like materials, Meccanica 24, 3 (1989)
M. Giaquinta and E. Giusti, Researches on the equilibrium of masonry structures, Arch. Rational Mech. Anal. 88, 359–392 (1986)
M. E. Gurtin, The linear theory of elasticity, Handbuch der Physik, band VIa/2, 1972
G. Romano and E. Sacco, Sul calcolo di strutture non reagenti a trazione, Atti VII Congresso Aimeta, Trieste, 1984
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Article copyright:
© Copyright 1995
American Mathematical Society
