Mathematical solution for bending of short hybrid composite beams with variable fibers spacing

Applied Mathematics and Computation

Volumn 212, Issue 2, 2009, Pages 337-348

  Benatta, M A ^a   Tounsi, A ^a   Mechab, I ^a   Bachir Bouiadjra, M ^a  

^a UNIVERSITY OF SIDI BEL ABBES   (Algeria)

Author keywords

Higher order theories; Hybrid FGM beam; Mathematical model; Warping

Indexed keywords

BENDING STIFFNESS; DEFLECTION AND STRESS; DISTRIBUTED LOADS; FIBER TYPES; FIBER VOLUME FRACTIONS; FUNCTIONALLY GRADED; HIGHER ORDER SHEAR DEFORMATION THEORIES; HIGHER ORDER THEORIES; HYBRID BEAMS; HYBRID COMPOSITES; HYBRID FGM BEAM; MATERIAL PROPERTIES; MATHEMATICAL SOLUTIONS; MODERATELY THICKS; NUMERICAL RESULTS; POWER-LAW DISTRIBUTIONS; POWER-LAW EXPONENTS; PRINCIPLE OF VIRTUAL WORKS; SIMPLY SUPPORTED; STATIC RESPONSE; SYMMETRIC LAMINATED; THICKNESS DIRECTIONS; TRANSVERSE DEFLECTIONS; UNIFORM LOADS; WARPING;

BEAMS AND GIRDERS; COMPUTER SIMULATION; FUNCTIONALLY GRADED MATERIALS; LAMINATED COMPOSITES; SHEAR DEFORMATION; TITRATION; WEAVING;

MATHEMATICAL MODELS;

EID: 67349206900     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.02.030     Document Type: Article

References (23)

1. Koizumi M. The concept of FGM. Ceram. Trans. Funct. Graded Mater. 34 (1993) 3-10
2. S. Suresh, A. Mortensen, Fundamentals of Functionally Graded Materials, Barnes and Noble Publications, 1998.
3. Kapania R.K., and Raciti S. Recent advances in analysis of laminated beams and plates, Part I: Shear effect and Buckling. AIAA J. 27 (1989) 923-934
4. Mechab I., Tounsi A., Benatta M.A., and Adda Bedia E.A. Deformation of short composite beam using refined theories. J. Math. Anal. Appl. 346 (2008) 468-479
5. Chakraborty A., Gopalakrishnan S., and Reddy J.N. A new beam finite element for the analysis of functionally graded materials. Int. J. Mech. Sci. 45 (2003) 519-539
6. Wetherhold R.C., Seelman S., and Wang J. The use of functionally graded materials to eliminate or control thermal deformation. Compos. Sci. Technol. 56 (1996) 1099-1104
7. Sankar B.V., and Tzeng J.T. Thermal stresses in functionally graded beams. AIAA J. 40 (2002) 1228-1232
8. Sankar B.V. An elasticity solution for functionally graded beams. Compos. Sci. Technol. 61 (2001) 689-696
9. Calio I., and Elishakoff I. Closed-form solutions for axially graded beam-columns. J. Sound Vib. 280 (2005) 1083-1094
10. Zenkour A.M. Generalized shear deformation theory for bending analysis of functionally graded plates. Appl. Math. Modell. 30 (2006) 67-84
11. Kadoli R., Akhtar K., and Ganesan N. Static analysis of functionally graded beams using higher order shear deformation theory. Appl. Math. Modell. 32 12 (2008) 2509-2525
12. Zhong Z., and Yu T. Analytical solution of a cantilever functionally graded beam. Compos. Sci. Technol. 67 (2007) 481-488
13. Ding H.J., Huang D.J., and Chen W.Q. Elasticity solutions for plane anisotropic functionally graded beams. Int. J. Solids Struct. 44 (2007) 176-196
14. Chinosi C., and Croce L.D. Approximation of functionally graded plates with non-conforming finite elements. J. Comp. Appl. Math. 210 (2007) 106-115
15. Zenkour A.M. Buckling of fiber-reinforced viscoelastic composite plates using various plate theories. J. Eng. Math. 50 (2004) 75-93
16. Zenkour A.M. Thermal effects on the bending response of fiber-reinforced viscoelastic composite plates using a sinusoidal shear deformation theory. Acta Mech. 171 (2004) 171-187
17. M. Aydogdu, A new shear deformation theory for laminated composite plates, Compos. Struct., in press.
18. Allahverdizadeh A., Naei M.H., and Nikkhah Bahrami M. Vibration amplitude and thermal effects on the nonlinear behavior of thin circular functionally graded plates. Int. J. Mech. Sci. 50 (2008) 445-454
19. Reddy J.N. A simple higher order theory for laminated composite plates. ASME. J. Appl. Mech. 51 (1984) 745-752
20. Zenkour A.M. Buckling of fiber-reinforced viscoelastic composite plates using various plate theories. J. Eng. Math. 50 (2004) 75-93
21. Karama M., Afaq K.S., and Mistou S. Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity. Int. J. Solids Struct. 40 6 (2003) 1525-1546
22. L. Dufort, Etude du cisaillement transverse dans les poutres stratifiées et sandwich: aspects théoriques et expérimentaux, PhD Thesis, Ecole National Supérieur des Mines de Saintetienne/Blaise Pascale University, 2000 (in French with English abstract).
23. Dufort L., Grédiac M., and Surrel Y. Experimental evidence of the cross-section warping in short composite beams under three point bending. Compos. Struct. 51 (2001) 37-47