Three-dimensional thermal analysis of laminated composite plates

Abstract In this paper, results of the stress analysis of multilayered plates subject to thermal and mechanical loads are presented in the context of the three-dimensional quasi-static theory of thermoelasticity. The governing equations for a plate composed of monoclinic layers and subject to any given temperature and mechanical load distributions are derived in terms of displacements. Making use of a Navier-like approach, exact three-dimensional solutions are obtained for cross-ply and antisymmetric angle-ply laminated rectangular plates subject to thermomechanical loads. Polynomial and exponential temperature distributions through the thickness are considered. Numerical results for plates with the simply supported boundary conditions are presented. It is shown that the inplane shear stresses at the corners are unbounded when plate faces are subject to uniform heating.

[1]  Antonio Tralli,et al.  A two-dimensional theory for the analysis of laminated plates , 1994 .

[2]  T. R. Tauchert,et al.  THERMOELASTIC ANALYSTS OF LAMINATED PLATES. 2: ANTISYMMETRIC CROSS-PLY AND ANGLE-PLY LAMINATES , 1980 .

[3]  V. Smirnov,et al.  A course of higher mathematics , 1964 .

[4]  Lit S. Han.  Periodic heat conduction through composite panels , 1987 .

[5]  M. N. Bapu Rao.  Three dimensional analysis of thermally loaded thick plates , 1979 .

[6]  Joseph Padovan,et al.  Generalized Sturm-Liouville Procedure for Composite Domain Anisotropic Transient Conduction Problems , 1974 .

[7]  J. Reddy,et al.  Thermal stresses and deflections of cross-ply laminated plates using refined plate theories , 1991 .

[8]  Ahmed K. Noor,et al.  Computational Models for High-Temperature Multilayered Composite Plates and Shells , 1992 .

[9]  Ahmed K. Noor,et al.  Three-Dimensional Solutions for the Free Vibrations and Buckling of Thermally Stressed Multilayered Angle-Ply Composite Plates , 1992 .

[10]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[11]  J. Padovan.  Thermoelasticity of Anisotropic Generally Laminated Slabs Subject to Spatially Periodic Thermal Loads , 1975 .

[12]  T. R. Tauchert,et al.  Thermally Induced Flexure, Buckling, and Vibration of Plates , 1991 .

[13]  J. N. Reddy,et al.  On refined computational models of composite laminates , 1989 .

[14]  William Prager,et al.  Theory of Thermal Stresses , 1960 .

[15]  Y. Tanigawa,et al.  Thermal Bending of Laminated Composite Rectangular Plates and Nonhomogeneous Plates due to Partial Heating , 1991 .

[16]  Herbert Reismann.  Heat conduction in a bounded, anisotropic medium. , 1968 .

[17]  F. B. Hildebrand.  Advanced Calculus for Applications , 1962 .

[18]  A. W. Leissa,et al.  Analysis of Heterogeneous Anisotropic Plates , 1969 .

[19]  J. N. Reddy,et al.  A Variational Approach to Three-Dimensional Elasticity Solutions of Laminated Composite Plates , 1992 .

[20]  T. R. Tauchert,et al.  THERMOELASTIC SOLUTION FOR CROSS-PLY CYLINDRICAL PANELS , 1991 .

[21]  Yu. V. Nemirovskii.  On the theory of thermoelastic bending of reinforced shells and plates , 1972 .

[22]  J. L. Nowinski,et al.  Theory of thermoelasticity with applications , 1978 .

[23]  Y. Stavsky,et al.  Thermoelasticity of Heterogeneous Aeolotropic Plates , 1963 .

[24]  M. Biot.  Variational Principles in Heat Transfer: A Unified Lagrangian Analysis of Dissipative Phenomena , 1970 .

[25]  T. R. Tauchert,et al.  Thermal stresses in doubly-curved cross-ply laminates , 1992 .

[26]  J. N. Reddy,et al.  EFFECTS OF SHEAR DEFORMATION AND ANISOTROPY ON THE THERMAL BENDING OF LAYERED COMPOSITE PLATES , 1980 .

[27]  J. Padovan.  Solution of transient temperature fields in laminated anisotropic slabs and cylinders , 1975 .

[28]  T. R. Tauchert,et al.  Thermoelastic analysis of laminated plates. I - Symmetric specially orthotropic laminates , 1980 .

[29]  H. Murakami,et al.  TRANSIENT THERMAL STRESS ANALYSIS OF A LAMINATED COMPOSITE BEAM , 1989 .

[30]  H. Choi,et al.  Thermal Stresses in a Multilayered Anisotropic Medium , 1991 .