Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Some explicit solutions to plane equilibrium problem for no-tension bodies

  • Received : 2002.10.04
  • Accepted : 2003.06.17
  • Published : 2003.09.25
⟨ Previous Next ⟩

Abstract

A method is presented to integrate explicitly certain equilibrium problems for no-tension bodies, in absence of body forces and under the assumption that two of the principal stresses are everywhere null. The method is exemplified in the case of rectangular panels, clamped at their bottoms and loaded at their tops.

Keywords

References

  1. Brenier, Y. and Grenier, E. (1998), "Stickly particles and scalar conservation laws", SIAM J. Numer. Anal., 35(6),2317-2328. https://doi.org/10.1137/S0036142997317353
  2. Courant, R. and Friedrichs, K.O. (1948), Supersonic Flow and Shock Waves, Interscience Publishers, Inc., NewYork.
  3. Del Piero, G. (1989), "Constitutive equations and compatibility of the external loads for linear elastic masonrylikematerials", Meccanica, 24, 150-162. https://doi.org/10.1007/BF01559418
  4. Del Piero, G. (1998), "Limit analysis and no-tension materials", Int. J. of Plasticity, 14, 259-271. https://doi.org/10.1016/S0749-6419(97)00055-7
  5. Di Pasquale, S. (1984), "Statica dei solidi murari teorie ed esperienze", Atti del Dipartimento di Costruzioni(Universita' di Firenze), 27.
  6. Giaquinta, M. and Giusti, E. (1985), "Researches on the equilibrium of masonry structures", Arch. Rat. Mech.and Anal., 88, 359-392.
  7. Serre, D. (1999) Systems of Conservation Laws, 1, Cambridge University Press.
  8. Zauderer, E. (1989), Partial Differential Equations of Applied Mathematics, John Wiley & Sons, Inc., New York.

Cited by

  1. A new class of equilibrated stress fields for no-tension bodies vol.1, pp.3, 2006, https://doi.org/10.2140/jomms.2006.1.503
  2. On the choice of functions spaces in the limit analysis for masonry bodies vol.7, pp.8-9, 2012, https://doi.org/10.2140/jomms.2012.7.795
  3. Static analysis of masonry vaults, constitutive model and numerical analysis vol.2, pp.2, 2007, https://doi.org/10.2140/jomms.2007.2.221
  4. A direct approach to fiber and membrane reinforced bodies. Part II. Membrane reinforced bodies vol.26, pp.3, 2014, https://doi.org/10.1007/s00161-013-0305-x
  5. A note on equilibrated stress fields for no-tension bodies under gravity vol.65, pp.4, 2003, https://doi.org/10.1090/s0033-569x-07-01052-5