Issue Section:
Brief Notes
1.
Adkins, J. E., 1961, “Large Elastic Deformations,” Progress in Solid Mechanics, Vol. II, I. N. Sneddon and R. Hill, eds, North-Holland, Amsterdam, pp. 1–60.
2.
Antman
S. S.
Marlow
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1991
, “Material Constraints, La-grange Multipliers, and Compatibility. Applications to Rod and Shell Theories
,” Archive for Rational Mechanics and Analysis
, Vol. 116
, pp. 257
–299
.3.
Beatty
M. F.
1987
, “Topics in Finite Elasticity: Hyperelasticity of Rubber, Elastomers, and Biological Tissues—With Examples
,” ASME Applied Mechanics Reviews
, Vol. 40
, pp. 1699
–1734
.4.
Beatty
M. F.
Hayes
M. A.
1992
, “Deformations of an Elastic, Internally Constrained Material. Part I: Homogeneous Deformations
,” Journal of Elasticity
, Vol. 29
, pp. 1
–84
.5.
Carlson, D. E., and Tortorelli, D. A., 1994, “On Hyperelasticity with Internal Constraints,” Recent Advances in Engineering Science: Proceedings of the 31st Annual Technical Meeting of the Society of Engineering Science, Oct. 10–12, Texas A&M University, D. H. Allen and D. C. Lagoudas, eds.; abstract is missing; completed paper to appear in Journal of Elasticity.
6.
Carlson, D. E., and Tortorelli, D. A., 1994b, “On the Theory of Thermoelasticity in the Presence of Internal Constraints,” Abstracts of Contributed Papers: Twelfth U.S. National Congress of Applied Mechanics, June 27–July 1, University of Washington, Seattle, p. 125.
7.
Casey
J.
1994
, “Geometrical Derivation of Lagrange’s Equations for a System of Particles
,” American Journal of Physics
, Vol. 62
, p. 836
–847
.8.
Cohen
H.
Wang
C.-C.
1987
, “On the Response and Symmetry of Elastic Materials with Internal Constraints
,” Archive for Rational Mechanics and Analysis
, Vol. 99
, pp. 1
–36
.9.
Ericksen
J. L.
Rivlin
R. S.
1954
, “Large Elastic Deformations of Homogeneous Anisotropic Materials
,” Journal of Rational Mechanics and Analysis
, Vol. 3
, pp. 281
–301
.10.
Green, A. E., and Adkins, J. E., 1960, Large Elastic Deformations and Non-Linear Continuum Mechanics, Clarendon Press, Oxford, U.K.
11.
Green
A. E.
Naghdi
P. M.
1977
, “A Note on Thermodynamics of Constrained Materials
,” ASME JOURNAL OF APPLIED MECHANICS
, Vol. 44
, p. 787
787
.12.
Green
A. E.
Naghdi
P. M.
Trapp
J. A.
1970
, “Thermodynamics of a Continuum with Internal Constraints
,” International Journal of Engineering Science
, Vol. 8
, pp. 891
–908
.13.
Gurtin
M. E.
Podio-Guidugli
P.
1973
, “The Thermodynamics of Constrained Materials
,” Archive for Rational Mechanics and Analysis
, Vol. 51
, pp. 192
–208
.14.
Podio-Guidugli
P.
Vianello
M.
1989
, “Constraint Manifolds for Isotropic Solids
,” Archive for Rational Mechanics and Analysis
, Vol. 105
, pp. 105
–121
.15.
Rivlin, R. S., 1956, “Large Elastic Deformations,” Rheology: Theory and Applications, Vol. 1, F. R. Eirich, ed., Academic Press, New York, pp. 351–385.
16.
Rivlin, R. S., 1960, “Some Topics in Finite Elasticity,” Structural Mechanics: Proceedings of the 1st Symposium on Naval Structural Mechanics, Aug. 11–14, Stanford University, J. N. Goodier, and N. J. Hoff, eds., Pergamon Press, New York, pp. 169–198.
17.
Truesdell, C., and Noll, W., 1965, “The Non-Linear Field Theories of Mechanics,” Handbuch der Physik, S. Flu¨figge, ed., Vol. III/3, Springer-Verlag, New York, pp. 1–602.
18.
Wang, C.-C., 1979, Mathematical Principles of Mechanics and Electromagnetism—Part A: Analytical and Continuum Mechanics, Plenum Press, New York.
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