Finite element thermo-viscoelastic creep approach for heterogeneous structures with dissipative correctors

Finite elements in analysis and design

Volumn 36, Issue 3, 2000, Pages 279-313

  Chung, Peter W ^a   Tamma, Kumar K ^a   Namburu, Raju R ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b WATERWAYS EXPERIMENT STATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CREEP; DISSIMILAR MATERIALS; REINFORCED PLASTICS; STRESS CONCENTRATION; THERMOELASTICITY; VISCOELASTICITY;

THERMOVISCOELASTICITY;

STRUCTURAL ANALYSIS;

EID: 0034325459     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(00)00037-8     Document Type: Article

References (15)

1. Bensoussan A., Lions J.L., Papanicolaou G. Asymptotic Analysis for Periodic Structures. 1978;North-Holland Publishing Company, New York.
2. Sanchez-Palencia E. Non-Homogeneous Media and Vibration Theory, Lecture Notes in Physics, Vol. 127. 1980;Springer, Berlin.
3. Hollister S.J., Kikuchi N. A comparison of homogenization and standard mechanics analyses for periodic porous composites. Comput. Mech. 10:1992;73-95.
4. Lukkassen D., Persson L.E., Wall P. Some engineering and mathematical aspects on the homogenization method. Compos. Eng. 5:1995;519-531.
5. Lene F. Damage constitutive relations for composite materials. Eng. Fract. Mech. 25:1986;713-728.
6. Koishi M., Shiratori M., Miyoshi. K. Kabe T. Homogenization method for dynamic viscoelastic analysis of composite materials. JSME Int. J. Ser. A. 40:1997;306-312.
7. Shibuya Y. Evaluation of creep compliance of carbon-fiber-reinforced composites by homogenization theory. JSME Int. J. Ser. A. 40:1997;313-319.
8. Sanchez-Hubert J., Sanchez-Palencia E. Sur certains problèmes physiques d'homogénéisation donnant lieu à des phénomènes de relaxation. C.R. Acad. Sci. Paris, Sér. A. 286:1978;903-906.
9. Francfort G.A., Suquet P.M. Homogenization and mechanical dissipation in thermoviscoelasticity. Arch. Rational Mech. Anal. 96:1986;265-293.
10. H. Tanabe, Equations of Evolution, Pitman Publishing Ltd., London, 1979.
11. Moler C., Van Loan C. Nineteen dubious ways to compute the exponential of a matrix. SIAM Rev. 20:1978;801-836.
12. Taylor R.L., Pister K.S., Goudreau G.L. Thermomechanical analysis of viscoelastic solids. Int. J. Numer. Methods Eng. 2:1970;45-59.
13. Scherer G.W., Rekhson S.M. Viscoelastic-elastic composites: Part I, general theory. J. Am. Ceram. Soc. 67:1982;352-360.
14. Hashin Z., Rosen B.W. The elastic moduli of fiber reinforced materials. J. Appl. Mech. Trans. ASME. BIE:1964;223-232.
15. Hashin Z. Viscoelastic fiber reinforced materials. AIAA J. 4:1966;1411-1418.