Second-Order Elastic Deformation of Solids
- 1 December 1953
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 92 (5) , 1145-1149
- https://doi.org/10.1103/physrev.92.1145
Abstract
Expressions for the velocities of elastic waves in stressed solids are derived using Murnaghan's theory of finite deformations and third-order terms in the energy. For isotropic materials, in addition to the Lamé constants and , three additional constants, , , and , are required to describe the material.
Keywords
This publication has 8 references indexed in Scilit:
- `Third-order' elastic coefficientsActa Crystallographica, 1953
- Variation of Elastic Moduli and Wave Velocity with Pressure and Temperature in PlasticsJournal of Applied Physics, 1950
- The Variation of the Adiabatic Elastic Constants of KCl, NaCl, CuZn, Cu, and Al with Pressure to 10,000 BarsPhysical Review B, 1949
- Transmission of Elastic Pulses in Metal RodsPhysical Review B, 1949
- The Influence of Initial Stress on Elastic WavesJournal of Applied Physics, 1940
- Elastizitätstheorie zweiter Ordnung mit AnwendungenZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1940
- The Effect of Pressure Upon the Elastic Parameters of Isotropic Solids, According to Murnaghan's Theory of Finite StrainJournal of Applied Physics, 1938
- Finite Deformations of an Elastic SolidAmerican Journal of Mathematics, 1937