DOI QR코드

DOI QR Code

Piezothermoelastic solution for angle-ply laminated plate in cylindrical bending

  • Dube, G.P. (Applied Mechanics Department, I.I.T.) ;
  • Upadhyay, M.M. (Applied Mechanics Department, I.I.T.) ;
  • Dumir, P.C. (Applied Mechanics Department, I.I.T.) ;
  • Kumar, S. (Applied Mechanics Department, I.I.T.)
  • Published : 1998.07.25

Abstract

Generalised plane strain solution is presented for simply supported, angle-ply laminated hybrid plate under cylindrical bending. The arbitrary constants in the general solution of the governing differential equations are obtained from the boundary and interface conditions. The response of hybrid plates to sinusoidal loads is obtained to illustrate the effect of the thickness parameter and the ply-angle. The classical lamination theory and the first order shear deformation theory are also assessed.

Keywords

References

  1. Ashida, F., Noda, N. and Tauchert, T.R. (1994a), "A two-dimensional piezothermoelastic problem in an orthotropic plate exhibiting crystal class mm2", JSME Int. Jnl. Series A, 37, 334-340.
  2. Ashida, F., Noda, N. and Tauchert, T.R. (1994b), "Inverse problem of two-dimensional piezothermoelasticity in an orthotropic plate exhibiting crystal class mm2", JSME Int. Jnl. Series A, 37, 341-346.
  3. Brooks, B. and Heyliger, P. (1994), "Static behavior of piezoelastic laminates with distributed and patched actuators", J. Intelligent Mat. Systems and Structures, 5, 635-646. https://doi.org/10.1177/1045389X9400500507
  4. Dube, G.P., Kapuria, S. and Dumir, P.C. (1996), "Exact piezothermoelastic solution of simply-supported orthotropic flat panel in cylindrical bending", Int. J. Mech. Sci., 38, 1161-1177. https://doi.org/10.1016/0020-7403(96)00020-3
  5. Heyliger, P. (1994), "Static behavior of laminated elastic/piezoelastic plates", AIAA Jnl., 32, 2481-2484. https://doi.org/10.2514/3.12321
  6. Jonnalagadda, K.D., Blandford, G.E. and Tauchert, T.R. (1994), "Piezothermoelastic composite plate analysis using first-order shear-deformation theory", Comput. Struct., 51, 79-89. https://doi.org/10.1016/0045-7949(94)90038-8
  7. Kapuria, S., Dube, G.P. and Dumir, P.C. (1997), "Exact piezothermoelastic solution for simply supported laminated flat panel in cylindrical bending", ZAMM, 77, 281-293. https://doi.org/10.1002/zamm.19970770415
  8. Pagano, N.J. (1970), "Influence of shear coupling in cylindrical bending of anisotropic laminates", J. Composite Materials, 4, 330-343. https://doi.org/10.1177/002199837000400305
  9. Ray, M.C., Rao, K.M. and Samanta, B. (1992), "Exact analysis of coupled electroelastic behavior of a piezoelectric plate under cylindrical bending", Comput. Struct., 45, 667-677. https://doi.org/10.1016/0045-7949(92)90485-I
  10. Ray, M.C., Rao, K.M. and Samanta, B. (1993a), "Exact solution for static analysis of an intelligent structure under cylindrical bending", Comput. Struct., 47, 1031-1042. https://doi.org/10.1016/0045-7949(93)90307-Y
  11. Ray, M.C., Rao, K.M. and Samanta, B. (1993b), "Exact solution for static analysis of an intelligent structures", AIAA Jnl., 31, 1684-1691. https://doi.org/10.2514/3.11831
  12. Tang, Y.Y., Noor, A.K. and Xu, K. (1996), "Assessment of computational models for thermoelectroelastic multilayered plates", Comput. Struct., 61, 915-933. https://doi.org/10.1016/0045-7949(96)00037-5
  13. Tauchert, T.R. (1992), "Piezothermoelastic behavior of a laminated plate", J. Thermal Stresses, 15, 25-37. https://doi.org/10.1080/01495739208946118
  14. Xu, K., Noor, A.K. and Tang, Y.Y. (1995), "Three-dimensional solutions for coupled thermoelectroelastic response of multilayered plates", Comput. Methods Appl. Mech. Engrg, 126, 355-371. https://doi.org/10.1016/0045-7825(95)00825-L

Cited by

  1. GENERALIZED PLANE STRAIN THERMOPIEZOELECTRIC ANALYSIS OF MULTILAYERED PLATES vol.26, pp.4, 2003, https://doi.org/10.1080/713855902
  2. Refined finite element for piezoelectric laminated composite beams vol.13, pp.4, 2004, https://doi.org/10.1088/0964-1726/13/4/N04
  3. An improved third order theory and assessment of efficient zigzag theory for angle-ply flat hybrid panels vol.83, pp.2, 2008, https://doi.org/10.1016/j.compstruct.2007.04.018
  4. 2D exact solutions for flat hybrid piezoelectric and magnetoelastic angle-ply panels under harmonic load vol.16, pp.5, 2007, https://doi.org/10.1088/0964-1726/16/5/018
  5. Efficient modeling of smart piezoelectric composite laminates: a review vol.214, pp.1-2, 2010, https://doi.org/10.1007/s00707-010-0310-0
  6. Assessment of third order smeared and zigzag theories for buckling and vibration of flat angle-ply hybrid piezoelectric panels vol.90, pp.3, 2009, https://doi.org/10.1016/j.compstruct.2009.03.019
  7. Analytical piezoelasticity solution for vibration of piezoelectric laminated angle-ply circular cylindrical panels vol.324, pp.3-5, 2009, https://doi.org/10.1016/j.jsv.2009.02.035
  8. Bending and free vibration analysis of laminated piezoelectric composite plates vol.75, pp.6, 1998, https://doi.org/10.12989/sem.2020.75.6.747