Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Temperature dependent analysis of sandwich beams with functionally graded face sheets under local loads

Authors
Abstract
An improved high-order sandwich beam theory is used to analysis of sandwich beams with FG face sheets loaded by central indentor in various temperature conditions. Property distribution in the FG face sheets is according to power law function of FGMs and all properties of them are temperature dependent. In this model, first order shear deformation theory is used for the FG face sheets while three-dimensional elasticity is used for the flexible core. Two spreading length scales are introduced and calculated for defined sandwich beam, which characterized the behavior of sandwich beam under local loads. The theoretical predictions in the present work are compared with FEM results by ANSYS and the results published in the literature for special cases, and reasonable agreement is found between them.
Keywords

[1] Hui, S.S., and Li, S.R., “Postbuckling of Sandwich Plates with FGM Face Sheets and Temperature-dependent Properties”, Composites: Part B, Vol. 39, pp. 332–344, (2008).
 
[2] Zhao, J., Yanzheng, L., and Xing, A., “Analysis of Transient Thermal Stress in Sandwich Plate with Functionally Graded Coatings”, Thin Solid Films, Vol. 516, pp. 7581–7587, (2008).
 
[3] Frostig, Y., and Baruch, M., “Localized Load Effects in High-order Bending of Sandwich Panels with Flexible Core”, J. Engr. Mech, Vol. 122, No. 11, pp. 1069-1076, (1996).
 [4] Khalili, S.M.R., and Mohammadi, Y., “Free Vibration Analysis of Sandwich Plates with Functionally Graded Face Sheets and Temperature-dependent Material Properties: A New Approach”, European Journal of Mechanics A/Solid, Vol. 35, pp. 61-74, (2012).
 
[5] Allen, H.G., “Analysis and Design of Structural Sandwich Panels”, Pergamon Press, London, (1969).
 
[6] Plantema, F.J., “Sandwich Construction”, Wiley, New York, (1966).
 
[7] Zenkert, D., “An Introduction to Sandwich Construction”, Chameleon Press Ltd, London, (1995).
 
[8] Vinson, J.R, “The Behavior of Sandwich Structures of Isotropic and Composite Materials”, Technomic Publishing Co. Inc, Lancaster, (1999).
 
[9] Noor, A.K., Burton, W.S., and Bert, C.W., “Computational Models for Sandwich Panels and Shells”, Appl. Mech. Rev, Vol. 49, pp. 155–199, (1996).
 
[10] Librescu, L., and Hause, T., “Recent Developments in the Modeling and Behavior of Advanced Sandwich Constructions: A Survey”, Composite Structure, Vol. 48, No. 1, pp. 1–17, (2011).
 
[11] Mindlin, R.D., “Influence of Transverse Shear Deformation on the Bending of Classical Plates”, J. Appl. Mech, Vol. 8, pp. 18–31, (1951).
 
[12] Reddy, J.N., “Energy Principles and Variational Methods in Applied Mechanics”, Wiley & Sons, New York, (1984).
 
[13] Petras, A., and Sutcliffe, M.P.F., “Indentation Resistance of Sandwich Beams”, J Composite Structure, Vol. 46, pp. 413-424, (1999).
 
[14] Frostig, Y., and Baruch, M., “A High Order Theory for the Bending of Sandwich Beams with a Flexible Core”, J. ASCE, EM Division, Vol. 118, No. 5, pp. 1026–1043, (1992).
 
[15] Mohammadi, Y., and Khalili, S.M.R., “Effect of Geometrical and Mechanical Properties on Behavior of Sandwich Beams with Functionally Graded Face Sheets under Indentation Loading”, J. Materials: Design and Applications, Vol. 225, pp. 231-244, (2011).
 
[16] Touloukian, Y.S., “Thermophysical Properties of High Temperature Solid Materials”, McMillan, New York, (1967).
 
[17] Malekzadeh, K., Khalili, S.M.R., and Mittal, R.K., “Local and Global Damped Vibrations of Sandwich Plates with a Viscoelastic Soft Flexible Core: An Improved High-order Approach”, J. Sandwich Structure Mater, Vol. 7, No. 5, pp. 431–456, (2005).
 
[18] Chi, S.H., and Chung, Y.L., “Mechanical Behavior of Functionally Graded Material Plates under Transverse Load-Part I: Analysis”, J. Solids and Structures, Vol. 43, pp. 3657-3674, (2006).
 
[19] Mindlin, R.M., “Influence of Rotary Inertia and Shear on Flexural Motions of Isotropic Elastic Plates”, J. Appl. Mech., Vol. 18, pp. 31-38, (1951).
 
[20] Malekzadeh K., Khalili, M.R., Olsson. R., and Jafari, A., “Higher-order Dynamic Response of Composite Sandwich Panels with Flexible Core under Simultaneous Low-velocity Impacts of Multiple Small Masses”, J. Solids and Structures, Vol. 43, pp. 6667-6687, (2006).
Volume 17, Issue 1 - Serial Number 38
System Dyanamics and Solid Mechanics
Spring 2015
Pages 83-103

  • Receive Date 22 May 2015