Entropie thermoelasticity of thin polymeric films

Acta Mechanica

Volumn 183, Issue 1-2, 2006, Pages 1-22

  Taylor, M ^a,b   Steigmann, D J ^a,b  

^a University of California ^*

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTITUTIVE EQUATIONS; FINITELY-DEFORMING ELASTIC FILMS; ISOTROPIC FILMS; TEMPERATURE FIELDS;

BOUNDARY VALUE PROBLEMS; ELASTICITY; HEAT FLUX; MEMBRANES; PLASTIC DEFORMATION; PLASTICS; THERMOELASTICITY;

THIN FILMS;

EID: 33744532558     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-005-0303-6     Document Type: Article

References (23)

1. Ciariet, P. G.: Mathematical elasticity, vol. 3: theory of shells. Amsterdam: North-Holland 2000.
2. Murdoch, A. I.: A thermodynamic theory of elastic material interfaces. Q. J. Mech. Appl. Math. 29, 245-275 (1976).
3. Green, A. E., Naghdi, P. M.: On thermal effects in the theory of shells. Proc. R. Soc. Lond. A365, 161-190 (1979).
4. Chadwick, P., Creasy, C. F. M.: Modified entropic elasticity of rubber-like materials. J. Mech. Phys. Solids 32, 337-357 (1984).
5. Pipkin, A. C., Rivlin, R. S.: The formulation of constitutive equations in continuum physics I. Arch. Ration. Mech. Anal. 4, 129-144 (1959).
6. Truesdell, C., Noll, W.: The nonlinear field theories of mechanics. In: Handbuch der Physik, Vol. III/3. (Flügge, S., ed.), Berlin: Springer 1965.
7. Murdoch, A. I.: Objectivity in classical continuum physics: a rationale for discarding the 'principle of invariance under superposed rigid body motions' in favor of purely objective considerations.Continuum Mech. Thermodyn. 15, 309-320 (2003).
8. Ogden, R. W.: Nonlinear elastic deformations. New York: Dover 1997.
9. Noll, W.: Representations of certain isotropic tensor functions. Arch. Math. 21, 87-90 (1970).
10. Dunwoody, J., Ogden, R. W.: On the thermodynamic stability of elastic heat-conducting solids subject to a deformation-temperature constraint. Math. Mech. Solids 7, 285-306 (2002).
11. Rooney, F. J., Bechtel, S. E.: Constraints, constitutive limits and instability in finite thermoelas-ticity. J. Elasticity 74, 109-133 (2004).
12. Rajagopal, K. R., Huang, Y.-N.: Finite circumferential shearing of nonlinear solids in the context of thermoelasticity. IMA J. Appl. Math. 53, 111-125 (1994).
13. Wegner, J. L.: Some aspects of thermodynamic effects in finite amplitude wave propagation in rubber-like solids. Wave Motion 39, 21-39 (2004).
14. Abeyaratne R., Knowles, J. K.: On the stability of thermoelastic materials. J. Elasticity 53, 199-213 (1999).
15. Silhavy, M.: The mechanics and thermodynamics of continuous media. Berlin: Springer 1997.
16. Naghdi, P. M.: Finite deformation of elastic rods and shells. In: Proc. IUTAM Symp. on Finite Elasticity (Carlson, D. E, Shield, R. T., eds.), pp. 47-101 The Hague: Martinus Nijhoff 1981.
17. Treloar, L. R. G.: The physics of rubber elasticity. Oxford: University Press 1975.
18. Weiner, J. H.: Statistical mechanics of elasticity. New York: Dover 2002.
19. Chadwick, P.: Thermo-mechanics of rubber-like materials. Phil. Trans. R. Soc. Lond. A276, 371-403 (1974).
20. Ogden, R. W.: Waves in isotropic elastic materials of Hadamard, Green or harmonic type. J. Mech. Phys. Solids 18, 149-163 (1970).
21. Pipkin, A. C: The relaxed energy density for isotropic elastic membranes. IMA J. Appl. Math. 36, 85 (1986).
22. Fulton, J. P., Simmonds, J. G.: Large deformations under vertical edge loads of annular membranes with various strain energy densities. Int. J. Non-Linear Mech. 21, 257-267 (1986).
23. Steigmann, D. J.: Frame-invariant polyconvex strain-energy functions for some anisotropic solids. Math. Mech. Solids 8, 497-506 (2003).