On singular surfaces in the dynamics of continua with microstructure
Authors:
G. Capriz and E. G. Virga
Journal:
Quart. Appl. Math. 52 (1994), 509-517
MSC:
Primary 73B99; Secondary 73D40, 73S10, 76A15
DOI:
https://doi.org/10.1090/qam/1292201
MathSciNet review:
MR1292201
Full-text PDF Free Access
References |
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Additional Information
C. Truesdell and R. A. Toupin, The classical field theories, Handbuch der Physik, vol. III, Springer, Berlin and New York, 1960
G. Capriz, Continua with microstructure, Springer, Berlin and New York, 1989
G. Capriz and E. G. Virga, Interactions in continua with microstructure, Arch. Rational Mech. Anal. 109, 323–342 (1990)
A. E. Green and R. S. Rivlin, Simple force and stress multipoles, Arch. Rational Mech. Anal. 16, 325–353 (1964)
A. E. Green, Micro-materials and multipolar continuum mechanics, Internat. J. Engrg. Sci. 3, 533–537 (1965)
W. Noll, La mécanique classique basée sur un axiome d’objectivité, La Méthode Axiomatique dans les Mécaniques Classiques et Nouvelles (Colloq. Internat., Paris, 1959), 47–56, Gauthier-Villars, Paris, 1963
C. Truesdell, A first course in rational continuum mechanics, vol. 1, 2nd ed., Academic Press, New York, 1991
M. Šilhavý, On the concepts of mass and linear momentum in Galilean thermodynamics, Czechoslovak. J. Phys. B 37, 133–157 (1987)
M. Šilhavý, Mass, internal energy, and Cauchy’s equations in frame-indifferent thermodynamics, Arch. Rational Mech. Anal. 107, 1–22 (1989)
M. E. Gurtin and P. Podio-Guidugli, On the formulation of mechanical balance laws for structured continua, ZAMP 43, 181–190 (1992)
W. Noll, Finite-dimensional spaces, Nijhoff, Dordrecht, 1987
W. O. Williams, Review of [2], SIAM Rev. 33, 161–163 (1991)
E. Cosserat and F. Cosserat, Théorie des corps déformables, Hermann, Paris, 1909
C. Truesdell and R. A. Toupin, The classical field theories, Handbuch der Physik, vol. III, Springer, Berlin and New York, 1960
G. Capriz, Continua with microstructure, Springer, Berlin and New York, 1989
G. Capriz and E. G. Virga, Interactions in continua with microstructure, Arch. Rational Mech. Anal. 109, 323–342 (1990)
A. E. Green and R. S. Rivlin, Simple force and stress multipoles, Arch. Rational Mech. Anal. 16, 325–353 (1964)
A. E. Green, Micro-materials and multipolar continuum mechanics, Internat. J. Engrg. Sci. 3, 533–537 (1965)
W. Noll, La mécanique classique basée sur un axiome d’objectivité, La Méthode Axiomatique dans les Mécaniques Classiques et Nouvelles (Colloq. Internat., Paris, 1959), 47–56, Gauthier-Villars, Paris, 1963
C. Truesdell, A first course in rational continuum mechanics, vol. 1, 2nd ed., Academic Press, New York, 1991
M. Šilhavý, On the concepts of mass and linear momentum in Galilean thermodynamics, Czechoslovak. J. Phys. B 37, 133–157 (1987)
M. Šilhavý, Mass, internal energy, and Cauchy’s equations in frame-indifferent thermodynamics, Arch. Rational Mech. Anal. 107, 1–22 (1989)
M. E. Gurtin and P. Podio-Guidugli, On the formulation of mechanical balance laws for structured continua, ZAMP 43, 181–190 (1992)
W. Noll, Finite-dimensional spaces, Nijhoff, Dordrecht, 1987
W. O. Williams, Review of [2], SIAM Rev. 33, 161–163 (1991)
E. Cosserat and F. Cosserat, Théorie des corps déformables, Hermann, Paris, 1909
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Article copyright:
© Copyright 1994
American Mathematical Society
