Universal generalized plane deformations in constrained elasticity

Mathematics and Mechanics of Solids

Volumn 3, Issue 2, 1998, Pages 201-216

  Pucci, Edvige ^a   Saccomandi, Giuseppe ^b  

^a UNIVERSITY OF PERUGIA   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBILITY OF SOLIDS; CONSTRAINT THEORY; ELASTICITY; SOLIDS;

CONSTRAINED ELASTICITY;

DEFORMATION;

EID: 0032095770     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659800300205     Document Type: Article

References (14)

1. Ericksen, J. L.: Deformations possible in every compressible perfectly elastic materials. J. Math. Phys., 34, 126-128 (1955).
2. Ericksen, J. L.: Deformations possible in every isotropic incompressible perfectly elastic body. J. Appl. Math. Phys. (ZAMP), 5, 466-489 (1954).
3. Beatty, M. F.: Topics in finite elasticity: Hyperelasticity of rubber, elastomers, and biological tissues - with examples. Appl. Mech. Rev., 40, 1699-1733 (1987).
4. Beatty, M. F. and Hayes, M. A.: Deformations of an elastic, internally constrained material, Part I: Homogeneous deformations. J. Elasticity, 29, 1-84 (1992).
5. Ericksen, J. L.: Constitutive theory for some constrained elastic crystals. Int. J. Solids Struct., 22, 951-964 (1986).
6. Beatty, M. F. and Hayes, M. A.: Deformations of an elastic, internally constrained material, Part 2: Nonhomogeneous deformations. Q. J. Mech. Appl. Math., 45, 663-709 (1992).
7. Pucci, E. and Saccomandi, G.: Some universal solutions for totally inextensible, isotropic elastic materials. Q. J. Mech. Appl. Math., 49, 147-162 (1996).
8. Truesdell, C. and Noll, W.: The Nonlinear Field Theories of Mechanics, Handbuch der Physik III/3, Springer-Verlag, New York (1965).
9. Fosdick, R. L. and Schuler, K. W.: On Ericksen's problem for plane deformations with uniform transverse stretch. Int. J. Eng. Sci., 7, 217-233 (1969).
10. Pucci, E. and Saccomandi, G.: On universal relations in constrained elasticity. Math. Mech. Solids, 1, 207-217 (1996).
11. Cohen, H. and Wang, C. C.: On the response and symmetry of elastic materials with internal constraints. Arch. Rational Mech. Analysis, 99, 136 (1987).
12. Podio Guidugli, P. and Vianello, M.: Constraint manifold for isotropic solids. Arch. Rational Mech. Analysis, 105, 105-121 (1989).
13. Gurtin, M. E.: An Introduction to Continuum Mechanics, Academic Press, New York (1981).
14. Pucci, E. and Saccomandi, G.: Universal motions for constrained simple materials. Preprint Istituto di Energetica UNIPG Italy, 1997.