On the inadmissibility of separation of variables solutions in linear anisotropic viscoelasticity

Mechanics of Composite Materials and Structures

Volumn 3, Issue 2, 1996, Pages 97-100

  Hilton, Harry H ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030153506     PISSN: 10759417     EISSN: None     Source Type: Journal    
DOI: 10.1080/10759419608945857     Document Type: Article

References (14)

1. T. Alfrey Jr., ‘Non-homogeneous stress in viscoelastic media’, Quart. Appl. Math., 2, 113-119 (1944).
2. T. Alfrey Jr., Mechanical Behavior of High Polymers, Interscience Publishers, Inc., New York, 1948, pp. 557-564.
3. H. H. Hilton and H. G. Russell, ‘An extension of Alfrey’s analogy to thermal stress problems in temperature dependent linear viscoelastic media’, J. Phys. Sol., 9, 152-164 (1961).
4. R. M. Christensen, Theory of Viscoelasticity — An Introduction, 2nd edn, Academic Press, New York, 1981.
5. H. H. Hilton, ‘An introduction to viscoelastic analysis’, in E. Baer (ed.), Engineering Design for Plastics, Reinhold Publishing Corp., New York., 1964, pp. 199-276.
6. H. H. Hilton and S. B. Dong, ‘An analogy for anisotropic, nonhomogeneous linear viscoelasticity including thermal stresses’, in S. Ostrach and R. H. Scanlan (eds.), Development in Mechanics, Pergamon Press, New York, 1964, 2(2), pp. 58-73.
7. S. Yi, ‘Finite element analysis of viscoelastic structures and analytical determination of optimum viscoelastic materials’, Ph. D. Dissertation, University of Illinois, Urbana, 1992.
8. S. Yi and H. H. Hilton, ‘Dynamic finite element analysis of viscoelastic composite plates in the time domain’, Int. j. numer. methods eng., 37, 4081-4096 (1994).
9. C. A. Brebbia and J. Dominguez, Boundary Elements: An Introductory Course, McGraw-Hill, New York, 1989.
10. L. Gaul and M. Schanz, ‘Dynamics of viscoelastic solids treated by boundary element approaches in time domain’, Europ. J. Mech. A: Sol., 13, 43-59 (1994).
11. J. M. Vinson, Structural Analysis of Laminated Composites, Technomic Publ. Co., Lancaster, PA, 1988.
12. H. H. Hilton, ‘Thermal distributions without thermal stresses in nonhomogeneous media’, ASMEJ. Appl. Mech., 26 E, 137-138 (1959).
13. H. S. Tsien, ‘A generalization of Alfrey’s theorem in viscoelastic media’, Quart Appl Math., 8, 104-106 (1950).
14. M. A. Biot, ‘Linear thermodynamics and the mechanics of solids’, in Proceedings of the Third U.S. National Congress of Applied Mechanics, ASME, New York, 1958, pp. 1-18.