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Material constraints in continuum mechanics

Stuart S. Antman

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1981)

  • Volume: 70, Issue: 6, page 256-264
  • ISSN: 0392-7881

How to cite

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Antman, Stuart S.. "Material constraints in continuum mechanics." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 70.6 (1981): 256-264. <http://eudml.org/doc/288787>.

@article{Antman1981,
author = {Antman, Stuart S.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {6},
number = {6},
pages = {256-264},
publisher = {Accademia Nazionale dei Lincei},
title = {Material constraints in continuum mechanics},
url = {http://eudml.org/doc/288787},
volume = {70},
year = {1981},
}

TY - JOUR
AU - Antman, Stuart S.
TI - Material constraints in continuum mechanics
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1981/6//
PB - Accademia Nazionale dei Lincei
VL - 70
IS - 6
SP - 256
EP - 264
LA - eng
UR - http://eudml.org/doc/288787
ER -

References

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  1. Antman, S.S. (1968) - General solutions for plane extensible elasticae having nonlinear stress-strain laws, «Quart. Appl. Math.», 29, 35-47. Zbl0157.56505
  2. Antman, S.S. and Rosenfeld, G. (1978) - Global behavior of buckled states of nonlinearly elastic rods, «SIAM Rev.», 20, 513-566. (1980) - Corrections and additions, Ibid. 22, 186-187. Zbl0395.73039
  3. Bernstein, B. and Kearsley, E.A. (1980) - A theory of the effects of pressure on finite elastic shear, in «Rheology», Vol. 1, edited by G. Astarita, G. Marrucci, and L. Nicolais, Plenum, 305-311. 
  4. Coleman, B.D. and Mizel, V.J. (1964) - Existence of caloric equations of state in thermodynamics, «J. Chem. Phys.», 40, 1116-1125. 
  5. Ebin, D.G. (1977) - The motion of slightly compressible fluids viewed as a motion with strong constraining forces, «Ann. Math.», 105, 141-200. Zbl0373.76007
  6. Ericksen, J.L. and Rivlin, R.S. (1954) - Large elastic deformations of homogeneous anisotropic materials, «J. Rational Mech. Anal.», 3, 281-301. Zbl0055.18103
  7. Green, A.E., Naghdi, P.M. and Trapp, J.A. (1970) - Thermodynamics of a continuum with internal constraints, «Int. J. Engg. Sci.», 8, 891-908. Zbl0218.73006
  8. Spencer, A.J.M. (1964) - Finite deformation of an almost incompressible solid, «I.U.T.A.M. International Symposium on Second Order Effects in Elasticity, Plasticity, and Fuid Dynamics», Haifa, Israel, 1962, edited by M. Reiner and D. Abir, MacMillan, New York, 200-216. 
  9. Truesdell, C. and Noll, W. (1965) - The Non-linear Field Theories of Mechanics, «Handbuch der Physik III/3», Springer-Verlag. 
  10. Richmond, O. and Spitzig, W.A. (1980) - Pressure dependence and dilatancy of plastic flow, in “Theoretical and Applied Mechanics, Proc. XV Int. Cong.” edited by F.P.J. Rimrott and B. Tabarrok, North Holland, 377-386. MR617023

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