Benchmark trigonometric and 3-D elasticity solutions for an exponentially graded thick rectangular plate

2006 ◽  
Vol 77 (4) ◽  
pp. 197-214 ◽  
Author(s):  
A. M. Zenkour
Keyword(s):  
Rectangular Plate ◽  
Thick Rectangular Plate ◽  
Elasticity Solutions ◽  
Exponentially Graded

Thermal bending of moderately thick rectangular plate.

AIAA Journal ◽  
1972 ◽  
Vol 10 (10) ◽  
pp. 1349-1351 ◽  
Author(s):  
Y. C. DAS ◽  
B. K. RATH
Keyword(s):  
Rectangular Plate ◽  
Thick Rectangular Plate ◽  
Thermal Bending

scholarly journals Inverse Thermoelastic Analysis of a Thick Rectangular Plate

2021 ◽  
Vol 10 (9) ◽  
pp. 52-57
Author(s):  
Sanjay H Bagade ◽  
Keyword(s):  
Inverse Problem ◽  
Heat Conduction ◽  
Laplace Transform ◽  
Rectangular Plate ◽  
Infinite Series ◽  
Heat Conduction Equation ◽  
Thermal Stresses ◽  
Initial Conditions ◽  
Internal Point ◽  
Thick Rectangular Plate

Thermal stresses and displacement functions are obtained for a rectangular plate occupying the space R: -a < x < a, 0 < y < b, -h < z < h, with the known boundary and initial conditions. In this inverse problem the unknown surface temperature is determined on the boundary along the y-axis when the temperature at some internal point is known. The governing heat conduction equation has been solved by applying Marchi – Fasulo transform and Laplace transform techniques. The solutions are obtained in form of infinite series. The results for displacement and thermal stresses have been computed numerically and illustrated graphically for Aluminium plate. MSC 2010: 74A10,74J25, 74H99, 74D99

Solving the Deflection Equations of Thick Plate under Concentrated Load

2012 ◽  
Vol 594-597 ◽  
pp. 2659-2663
Author(s):  
Dan Zhang
Keyword(s):  
Rectangular Plate ◽  
Thick Plate ◽  
Numerical Results ◽  
Reciprocal Theorem ◽  
Rectangular Plates ◽  
Concentrated Load ◽  
Simply Supported ◽  
Thick Rectangular Plate ◽  
Reciprocal Theorem Method

According to reciprocal-theorem method (RTM), the deflection equations of thick rectangular plate with two edges simply supported and two edges free under concentrated load are obtained in this paper. Simultaneously through the programming computation, the numerical results with actual value are obtained, which further showed the accuracy and superiority of RTM to solve the bending of thick rectangular plates.

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