2018/09/12 by Puskar Mondal, Mondal, Puskar, Subhajyoti Chaudhuri +1
Engineering · #Classical Physics (physics.class-ph) #Elasticity and Wave Propagation #FOS: Physical sciences #Geophysics and Sensor Technology #Thermoelastic and Magnetoelastic Phenomena
paper · pdf · doi:10.48550/arxiv.1809.04201
openalex publication_date 2018/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Elastic wave propagation is a century-old problem. Unlike on a flat manifold, analytical solution is not well established for a curved manifold. In this study we take a step towards building an analytical framework for solving the elastic wave propagation problem on an arbitrary manifold which admits a Riemannian metric with a global non-zero scalar curvature. We demonstrate the accuracy of the method by solving for some test cases, and also discuss some interesting physical insight that comes from solving the wave equations for non-vanishing curvature.