Anti-symmetric Mode Lamb Dispersion Curves for Steel

Using MATLAB computational methods, we can generate anti-symmetric mode Lamb dispersion curves for steel materials. Lamb waves refer to transverse waves propagating through thin plates or slender rods, with their dispersion characteristics represented by Lamb dispersion curves. These waves are commonly employed in structural health monitoring and non-destructive testing applications due to their ability to propagate through materials and detect potential defects. Calculating Lamb dispersion curves enables us to understand steel's mechanical properties, which holds significant importance for both engineering and materials science research. The MATLAB implementation typically involves solving the Rayleigh-Lamb frequency equations using numerical methods such as the bisection method or Newton-Raphson algorithm, where key functions like fzero or custom iterative solvers are utilized to find phase velocity solutions at different frequency-thickness products. The code would systematically compute symmetric and anti-symmetric mode solutions across specified frequency ranges, generating dispersion curves that reveal the relationship between phase velocity, group velocity, and excitation frequency.