Material constraints in continuum mechanics

Stuart S. Antman

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

  • Volume: 70, Issue: 6, page 256-264
  • ISSN: 1120-6330

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 Lincei. Matematica e Applicazioni 70.6 (1981): 256-264. <http://eudml.org/doc/287043>.

@article{Antman1981,
author = {Antman, Stuart S.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {physically sound reasons; accepted doctrines; treatment of material (or internal) constraints in continuum mechanics; insufficiently general; important consequences},
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/287043},
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 Lincei. Matematica e Applicazioni
DA - 1981/6//
PB - Accademia Nazionale dei Lincei
VL - 70
IS - 6
SP - 256
EP - 264
LA - eng
KW - physically sound reasons; accepted doctrines; treatment of material (or internal) constraints in continuum mechanics; insufficiently general; important consequences
UR - http://eudml.org/doc/287043
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. Zbl0779.73004
  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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