Saint-venant type decay estimates for transient heat conduction in a composite rigid semispace

Journal of Thermal Stresses

Volumn 21, Issue 3-4, 1998, Pages 185-204

  Ignaczak, Józef ^a  

^a INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CERAMIC MATERIALS; INITIAL VALUE PROBLEMS; SPECIFIC HEAT OF SOLIDS; THERMAL CONDUCTIVITY OF SOLIDS;

COMPOSITE RIGID SEMISPACES; FUNCTIONALLY GRADED MATERIALS (FGM);

HEAT CONDUCTION;

EID: 0032043376     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495739808956144     Document Type: Article

References (9)

1. B. A. Boley, Upper Bounds and Saint-Venant’s Principle in Transient Heat Conduction, Quart. Appl. Math., vol. 18, pp. 205-207, 1960.
2. R Quintanilla, Spatial Decay Estimate for the Hyperbolic Heat Equation, SIAM J. Math. Anal., vol. 27, pp. 78-91, 1996.
3. S. Chirita and R. Quintanilla, Saint-Venant’s Principle in Linear Elastodynamics, 7. Elasticity, vol. 42, pp. 201-215, 1996.
4. S. Chirita, Saint-Venant’s Principle in Linear Thermoelasticity, 7. Thermal Stresses, vol. 18, pp. 485-496, 1995.
5. C. O. Horgan, Recent Developments Concerning Saint-Venant’s Principle: A Second Update, Appl. Mech. Rev., vol. 49, no. 10, part 2, pp. S101-S111, 1996.
6. Y. Obata and N. Noda, Steady Thermal Stresses in a Hollow Circular Cylinder and a Hollow Sphere of a Functionally Gradient Material, 7. Thermal Stresses, vol. 17, no. 3, pp. 471-487, 1994.
7. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed., Oxford, 1959.
8. J. Ignaczak and Z. F. Baczynski, On a Refined Heat Conduction Theory for Microperiodic Layered Solids, 7. Tltcmial Stresses, vol. 20, pp. 749-771, 1997.
9. C. Wozniak, Z. F. Baczynski, and M. Wozniak, Modeling of Nonstationary Heat Conduction Problems in Microperiodic Composites, Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 76, no. 4, pp. 223-229, 1996.