The following code calculates the center deflection of a simply supported rectangular composite plate under a sinusoidal load.
Laminated composite plates are staples in aerospace, automotive, and marine engineering due to their high strength-to-weight ratios. Unlike isotropic materials (like steel), composites are orthotropic; their properties depend on the orientation of the fibers. Analyzing their bending behavior requires accounting for coupling effects between stretching, twisting, and bending. 1. Theoretical Framework: FSDT
Relates bending to in-plane forces (zero for symmetric layups). Composite Plate Bending Analysis With Matlab Code
If your B matrix is non-zero, the plate will experience "warping" even under pure tension.
Relates curvatures to bending moments. 2. The Solution Strategy To solve for displacement ( The following code calculates the center deflection of
While Classical Laminated Plate Theory (CLPT) ignores transverse shear, —often called Reissner-Mindlin theory—provides higher accuracy for moderately thick plates. It assumes that a straight line normal to the mid-surface remains straight but not necessarily perpendicular after deformation.
Relates in-plane strains to in-plane forces. If your B matrix is non-zero, the plate
For complex loading (like a point load), you would wrap the solution in a for loop to sum the Fourier series (e.g., 5. Conclusion
This article provides a comprehensive overview of the static analysis of laminated composite plates using First-Order Shear Deformation Theory (FSDT) and provides a functional MATLAB script to calculate deflections. Composite Plate Bending Analysis With MATLAB Code
MATLAB is an ideal tool for this analysis because it handles the matrix inversions and transformations of orthotropic properties seamlessly. This script serves as a foundation; for more complex geometries or boundary conditions, one would transition to the .