On the theory of mixtures of elastic solids
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Thermoelastic and Magnetoelastic Phenomena · Nonlocal and gradient elasticity in micro/nano structures · Elasticity and Material Modeling
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (34)
Show source-provided references
1. C. Truesdell and R. Toupin, The classical field theories. In: S. Flügge (ed.), Handbuch der Physik, Vol. III/3. Berlin: Springer-Verlag (1960).
2. P. Kelly, A reacting continuum. Int. J. Engng. Sci. 2 (1964) 129?153.10.1016/0020-7225(64)90001-1 ↗
3. A.C. Eringen and J.D. Ingram, A continuum theory of chemically reacting media. I. Int. J. Engng. Sci. 3 (1965) 197?212.10.1016/0020-7225(65)90044-3 ↗
4. J.D. Ingram and A.C. Eringen, A continuum theory of chemically reacting media. II. Constitutive equations of reacting fluid mixtures. Int. J. Engng. Sci. 4 (1967) 289?322.10.1016/0020-7225(67)90040-7 ↗
5. A.E. Green and P.M. Naghdi, A dynamical theory interacting continua. Int. J. Engng. Sci. 3 (1965) 231?241.10.1016/0020-7225(65)90046-7 ↗
6. A.E. Green and P.M. Naghdi, A note on mixtures, Int. J. Engng. Sci. 6 (1968) 631?635.10.1016/0020-7225(68)90064-5 ↗
7. I. Müller, A thermodynamic theory of mixtures of fluids. Arch. Rational Mech. Anal. 28 (1968) 1?39.10.1007/BF00281561 ↗
8. N. Dunwoody and I. Müller, A thermodynamic theory of two chemically reacting ideal gases with different temperatures. Arch. Rational Mech. Anal. 29 (1968) 344?369.10.1007/BF00283899 ↗
9. R.M. Bowen and J.C. Wiese, Diffusion in mixtures of elastic materials, Int. J. Engng. Sci. 7 (1969) 689?722.10.1016/0020-7225(69)90048-2 ↗
10. A.E. Green and T.R. Steel, Constitutive equations for interacting continua. Int. J. Engng. Sci. 4 (1966) 483?500.10.1016/0020-7225(66)90044-9 ↗
11. T.R. Steel, Applications of a theory of interacting continua. Quart. J. Mech. Appl. Math. 20 (1967) 57?72.10.1093/qjmam/20.1.57 ↗
12. T.R. Steel, Linearised theory of plane strain of a mixture of two solids. Int. J. Engng. Sci. 5 (1967) 775?789.10.1016/0020-7225(67)90022-5 ↗
13. A. Bedford and M. Stern, A multi-continuum theory for composite elastic materials. Acta Mechanica 14 (1972) 85?102.10.1007/BF01184851 ↗
14. A. Bedford and M. Stern, Toward a diffusing continuum theory of composite elastic materials. J. Appl. Mech. 38 (1972) 8?14.10.1115/1.3408772 ↗
15. A. Bedford and D.S. Drumheller, Theory of immiscible and structured mixtures. Int. J. Engng. Sci. 21 (1983) 863?960.10.1016/0020-7225(83)90071-X ↗
16. J.J. Pop and R.M. Bowen, A theory of mixtures with a long range spatial interaction. Acta Mechanica 29 (1978) 21?34.10.1007/BF01176624 ↗
17. H.F. Tiersten and M. Jahanmir, A theory of composites modeled as interpenetrating solid continua. Arch. Rational Mech. Anal. 65 (1977) 153?192.10.1007/BF00276554 ↗
18. R.M. Bowen, Theory of Mixtures. In: A.C. Eringen (ed.), Continuum Physics, Vol. III. New York: Academic Press (1976).
19. R.J. Atkin and R.E. Craine, Continuum theories of mixtures: basic theory and historical development. Quart. J. Mech. Appl. Math. 29 (1976) 209?245.10.1093/qjmam/29.2.209 ↗
20. R.J. Atkin and R.E. Craine, Continuum theories of mixtures: applications. J. Inst. Math. Appl. 17 (1976) 153?207.10.1093/imamat/17.2.153 ↗
21. S.L. Passman, Mixtures of granular materials. Int. J. Engng. Sci. 15 (1977) 117?129.10.1016/0020-7225(77)90027-1 ↗
22. M.A. Goodman and S.C. Cowin, A continuum theory for granular materials. Arch. Rational Mech. Anal. 44 (1972) 249?266.10.1007/BF00284326 ↗
23. W.O. Williams, Constitutive equations for flow of an incompressible viscous fluid through a porous medium. Quart. Appl. Math. 36 (1978) 255?267.10.1090/qam/99640 ↗
24. D.E. Kenyon, The theory of an incompressible solid-fluid mixture. Arch. Rational Mech. Anal. 62 (1976) 131?147.10.1007/BF00248468 ↗
25. D.S. Drumheller, The theoretical treatment of a porous solid using a mixture theory. Int. J. Solids Struct. 14 (1978) 441?456.10.1016/0020-7683(78)90009-4 ↗
26. A. Bedford and D.S. Drumheller, A variational theory of immiscible mixtures. Arch. Rational Mech. Anal. 68 (1978) 37?51.10.1007/BF00276178 ↗
27. J.W. Nunziato and E.W. Walsh, On ideal multiphase mixtures with chemical reactions and diffusion. Arch. Rational Mech. Anal. 73 (1980), 285?311.10.1007/BF00247672 ↗
28. A.E. Green and P.M. Naghdi, On basic equations for mixtures. Quart. J. Mech. Appl. Math. 22 (1969) 427?438.10.1093/qjmam/22.4.427 ↗
29. A.E. Green and P.M. Naghdi, On continuum thermodynamics. Arch. Rational Mech. Anal. 48 (1972) 352?378.10.1007/BF00276607 ↗
30. A.E. Green and N. Laws, Global properties of mixtures. Arch. Rational Mech. Anal. 43 (1971) 45?61.10.1007/BF00251545 ↗
31. J.W. Nunziato and S.C. Cowin, A nonlinear theory of elastic materials with voids. Arch. Rational Mech. Anal. 72 (1979) 175?201.10.1007/BF00249363 ↗
32. R.J. Atkin, P. Chadwick and T.R. Steel, Uniqueness theorems for linearized theories of interacting continua. Mathematika 14 (1967) 27?42.10.1112/S0025579300007981 ↗
33. R.J. Knops and T.R. Steel, Uniqueness in the linear theory of a mixture of two elastic solids. Int. J. Engng. Sci. 7 (1969) 571?577.10.1016/0020-7225(69)90012-3 ↗
34. R.J. Knops and L.E. Payne, Uniqueness theorems in linear elasticity. In: B.D. Coleman (ed.), Springer Tracts in Natural Philosophy, vol. 19, Berlin/Heidelberg/New York: Springer-Verlag (1971).