Hygrothermal Analysis of Laminated Composite Plates by Using Efficient Higher Order Shear Deformation Theory
الموضوعات :
1 - Department of Civil Engineering, Indian Institute of Technology
2 - Department of Civil Engineering, Indian Institute of Technology
الکلمات المفتاحية: Finite Element, Laminated composites, Higher order, Static Analysis, Hygrothermal load,
ملخص المقالة :
Hygrothermal analysis of laminated composite plates has been done by using an efficient higher order shear deformation theory. The stress field derived from hygrothermal fields must be consistent with total strain field in this type of analysis. In the present formulation, the plate model has been implemented with a computationally efficient C0 finite element developed by using consistent strain field. Special steps are introduced to circumvent the requirement of C1coninuity in the original plate formulation and C0 continuity of the present element has been compensated in stiffness matrix calculations. The accuracy of the proposed C0 element is established by comparing the results with those obtained by three dimensional elasticity solutions and other finite element analysis.
[1] Whitney J.M., Ashton J.E., 1971, Effect of environment on the elastic response of layered composite plates, AIAA Journal 9: 1708-1713.
[2] Wu C.H., Tauchert T.R., 1980, Thermoelastic analysis of laminated plates 2: Antisymmetric cross-ply and angle-ply laminates, Journal of Thermal Stresses 3: 365-378.
[3] Rolfes R., Noor A.K., Sparr H., 1998, Evaluation of transverse thermal stresses in composite plates based on first-order shear deformation theory, Computer Methods Applied in Mechanical Engineering 167:355-368.
[4] Reddy J.N., 1984, A Simple higher-order theory for laminated composite plates, ASME Journal of Applied Mechanics 51: 745-782.
[5] Reddy J.N., Hsu Y. S., 1984, Effects of shear deformation and anisotropy on the thermal bending of layered composite plates, Journal of Thermal Stresses 3: 475-493.
[6] Sai Ram K. S., Sinha P.K., 1991, Hygrothermal effects on the bending characteristics of laminated composite plates, Computers and Structures 40: 1009-1015.
[7] Kapania K.R., Mohan P., 1996, Static free vibration and thermal analysis of composite plates and shells using a flat shell element, Computational Mechanics 17: 343-357.
[8] Chandrashekhara K., Tenneti R., 1994, Non linear static and dynamic analysis of heated laminated plates, Composite Structures 51: 85-94.
[9] Reddy J.N., 1984, A simple higher-order theory for laminated composite plates. ASME Journal of Applied Mechanics 45: 745-752.
[10] Phan N.D., Reddy J.N., 1985, Analyses of laminated composite plates using a higher-order shear deformation theory, International Journal of Numerical Methods Engineering 21: 2201-2219.
[11] DiScuiva M., 1987, An improved shear deformation theory for moderately thick multilayered anisotropic shells and plates, ASME Journal of Applied Mechanics 54: 589-596.
[12] Chakrabarti A., Sheikh A.H., 2003, A new plate bending element based on higher order shear deformation theory for the analysis of composite plates, Finite Elements Analysis and Design 39(9): 883-903.
[13] Rohwer K., Rolfes R., Sparr H., 2001, Higher-order theories for thermal stresses in layered plates, International Jounal of Solids and Structures 38: 3673-3687.
[14] Patel B.P., Ganapathi M., Makhecha D.P., 2002, Hygrothermal effects on the structural behavior of thick composite laminates using higher-order theory, Composite Structures 56: 25-34.
[15] Zhen Wu., Wanji Chen., 2006, An efficient higher order theory and finite element for laminated plates subjected to thermal loading, Composite Structures 73: 99-109.
[16] Zhen Wu., Wanji Chen., 2007, A quadrilateral element based on refined global-local higher- order theory for coupling bending and extension thermo-elastic multilayered plates, International Jounal of Solids and Structures 44: 3187-3217.
[17] Zhen Wu., Wanji Chen., Xiaohui Ren., 2009, Refined global-local higher order theory for angle-ply laminated plates under thermo-mechanical loads and finite element model, Composite Structures 88: 643-658.
[18] Brischetto S., Carrera E., 2010, Coupled thermo-mechanical analysis of one-layered and multilayered plates, Composite Structures 92: 1793-1812.
[19] Zhen Wu., Cheung Y. K., Sh Lo., Wanji Chen., 2010, On the thermal expansion effects in the transverse direction of laminated composite plates by means of global-local higher-order model, International Journal of Mechanical Science 52: 970-981.
[20] Murakami H., 1993, Assessment of plate theories for treating the thermomechanical response of layered plates, Composite Engineering 3(2): 137-149.
[21] Savoia M., Reddy J.N., 1995, Three-dimensional thermal analysis of laminated composite plates, International Jounal of Solids and Structures 32(5): 593-608.
[22] Bhaskar K., Varadan T.K., Ali J.S.M., 1996, Thermoelastic solutions for orthotropic and anisotropic composite laminates, Composites Part B 27: 415-420.
[23] Kant T., Pendheri Sandeep S., Desai Yogesh M., 2008, An efficient semi analytical model for composite and sandwich plates subjected to thermal load, Journal of Thermal Stresses 31(1): 77-103.
[24] Shankara C.A., Iyengar N.G.R., 1992, Analysis of composite plates with higher-order shear deformation theory, Mechanics Research Communications 19(4): 301-314.
[25] Naganarayana B.P., Mohan P.Rama., Prathap G., 1997, Accurate thermal stress predictions using C0-continuous higher order shear deformable elements, Computer Methods in Applied Mechanical Engineering 144: 61-75.
[26] Prathap G., Naganarayana B.P, 1995, Consistent thermal stress evaluation in finite elements, Computers and Structures 54(3): 415-426.
[27] Das Y.C., Rath B. K., 1972, Thermal bending of moderately thick rectangular plates, AIAA Journal 10: 1349-135.
[28] Timoshenko S., Woinowsky-K., 1959, Theory of Plates and Shells, Second Edition, McGraw-Hill, New York.
