Sound Waves in Deformed Perfectly Elastic Materials. Acoustoelastic Effect

摘要: The general equations for a small displacement superimposed on finite deformation of perfectly elastic material arbitrary symmetry are derived anew. These the basis an analysis plane waves amplitude propagating in initially deformed and stressed material. Certain restrictions energy function elasticity theory determined. restrictions, which provide necessary sufficient conditions that homogeneously admit waves, then compared with other obtained from themostatic equilibrium considerations. Compatibility conditions, data sound wave propagation materials be compatible classical upon suitable assignment symmetry, derived. Finally, it is shown how variation speeds initial stress measured magnitude acoustoelastic effect can used to determine third‐order elas...