Kelvin's solution and nuclei of strain in a solid mixture

Piero Villaggio

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1983)

  • Volume: 10, Issue: 1, page 109-124
  • ISSN: 0391-173X

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Villaggio, Piero. "Kelvin's solution and nuclei of strain in a solid mixture." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 10.1 (1983): 109-124. <http://eudml.org/doc/83895>.

@article{Villaggio1983,
author = {Villaggio, Piero},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {concentrated force; mixture of two homogeneous isotropic linear-elastic solids; infinite extent; appropriate extension of Kelvin's method; stress tensor; nonsymmetric; Special nuclei of strains; double forces},
language = {eng},
number = {1},
pages = {109-124},
publisher = {Scuola normale superiore},
title = {Kelvin's solution and nuclei of strain in a solid mixture},
url = {http://eudml.org/doc/83895},
volume = {10},
year = {1983},
}

TY - JOUR
AU - Villaggio, Piero
TI - Kelvin's solution and nuclei of strain in a solid mixture
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1983
PB - Scuola normale superiore
VL - 10
IS - 1
SP - 109
EP - 124
LA - eng
KW - concentrated force; mixture of two homogeneous isotropic linear-elastic solids; infinite extent; appropriate extension of Kelvin's method; stress tensor; nonsymmetric; Special nuclei of strains; double forces
UR - http://eudml.org/doc/83895
ER -

References

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  1. [1927] A.E.H. Love, A Treatise on the Mathematical Theory of Elasticity, 4th Edition, University Press, Cambridge. JFM53.0752.01
  2. [1960] C. Truesdell - R. Toupin, The classical field theories, in Handbuch der Physik, vol. III/1, Berlin, Springer. MR118005
  3. [1966] A.E. Green - T.R. Steel, Constitutive equations for interacting continua, Internat. J. Engrg. Sci., 4, pp. 483-500. 
  4. [1967] R.J. Atkin - P. Chadwick - T.R. Steel, Uniqueness theorems for linearized theories of interacting continua, Mathematica, 14, pp. 27-42. Zbl0204.24905MR215562
  5. [1969] R.J. Knops - T.R. Steel, Uniqueness in the linear theory of a mixture of two elastic solids, Internat. J. Engrg. Sci., 7, pp. 571-577. Zbl0188.59204MR250541
  6. [1974] M. Aron, On the existence and uniqueness of solutions in the linear theory of mixtures of two elastic solids, Arch. Mech. Stos., 26, 4, pp. 717-728. Zbl0299.73013MR371206
  7. [1977] H.F. Tiersten - M. Jahanmir, A theory of composites modeled as interpenetrating solid continua, Arch. Rational Mech. Anal., 65, pp. 153-192. Zbl0377.73007MR521427
  8. [1978] A.E. Green - P.M. Naghdi, On thermodynamics and the nature of the second law for mixtures of interacting continua, Quart. J. Mech. Appl. Math., 31, pp. 265-293. Zbl0398.76003MR510643

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