A heat mixed variational theorem for thermoelastic multilayered composites

Computers and Structures

Volumn 84, Issue 19-20, 2006, Pages 1247-1255

  Benjeddou, Ayech ^a   Andrianarison, Orlando ^a  

^a High Institute of Mechanic of Paris   (France)

Author keywords

Heat transfer; Mixed coupled thermoelastic constitutive equations; Multilayer composites; Partial mixed variational principle; Thermal stress

Indexed keywords

CONSTRAINT THEORY; HEAT TRANSFER; INTERFACES (MATERIALS); LAMINATES; MULTILAYERS; THEOREM PROVING; THERMAL STRESS;

MIXED COUPLED THERMOELASTIC CONSTITUTIVE EQUATIONS; MULTILAYER COMPOSITES; PARTIAL MIXED VARIATIONAL PRINCIPLE;

COMPOSITE MATERIALS;

EID: 33744525043     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2006.01.019     Document Type: Article

References (20)

1. Tauchert T.R. Thermally induced flexure, buckling, and vibration of plates. Appl Mech Rev 44 (1991) 347-360
2. Noor A.K., and Burton W.S. Computational models for high-temperature multilayered composite plates and shells. Appl Mech Rev 45 (1992) 419-446
3. Murakami H. Assessment of plate theories for treating the thermomechanical response of layered plates. Compos Eng 3 (1993) 137-149
4. Argyris J., and Tenek L. Recent advances in computational thermostructural analysis of composite plates and shells with strong non linearities. Appl Mech Rev 50 (1997) 285-306
5. Noor A.K., and Malik M. An assessment of five modeling approaches for thermo-mechanical stress analysis of laminated composite panels. Comput Mech 25 (2000) 43-58
6. Carrera E. An assessment of mixed and classical theories for the thermal stress analysis of orthotropic multilayered plates. J Therm Stress 23 (2000) 797-831
7. Rolfes R., Teßmer J., and Rohwer K. Models and tools for heat transfer, thermal stresses and stability of composite aerospace structures. J Therm Stress 26 (2003) 641-670
8. Daneshjo K., and Ramezani M. Classical coupled thermoelasticity in laminated composite plates based on third-order shear deformation theory. Compos Struct 64 (2004) 369-375
9. Noor A.K., and Burton W.S. Three-dimensional solutions for the free-vibrations and buckling of thermally stressed multilayered angle-ply composite plates. ASME J Appl Mech 59 (1992) 868-877
10. Noor A.K., and Tenek L. Steady-state non linear heat transfer in multilayered composite panels. ASCE J Eng Mech 118 (1992) 1661-1678
11. Reissner E. On a certain mixed variational theorem and a proposed application. Int J Numer Meth Eng 20 (1984) 1366-1368
12. Reissner E. On a mixed variational theorem and on shear deformable plate theory. Int J Numer Meth Eng 23 (1986) 193-198
13. Carrera E. Temperature profile influence on layered plates response considering classical and advanced theories. AIAA J 40 (2002) 1885-1896
14. Surana K.S., and Orth N.J. Completely hierarchical p-version axisymmetric shell element for non linear heat conduction in laminated composites. Comput Struct 46 (1993) 777-789
15. Surana K.S., and Kalim P. Isoparametric axisymmetric shell elements with temperature gradients for heat conduction. Comput Struct 23 (1986) 279-289
16. Reddy J.N. Mechanics of laminated composite plates and shells: theory and analysis. 2nd ed. (2004), CRC Press, Boca Raton
17. Benjeddou A., and Andrianarison O. A piezoelectric mixed variational theorem for smart multilayered composites. Mech Adv Mater Struct 12 1 (2005) 1-11
18. Benjeddou A., and Andrianarison O. A thermopiezoelectric mixed variational theorem for smart multilayered composites. Comput Struct 83 15-16 (2005) 1266-1276
19. Noack J., Rolfes R., and Tessmer J. New layerwise theories and finite elements for efficient thermal analysis of hybrid structures. Comput Struct 81 (2003) 2525-2538
20. Brezzi F., and Fortin M. Mixed and hybrid finite element methods (1991), Springer, New York