Abstract

We study wave interaction coefficients in elastic solids. They describe locally on a quadratically nonlinear level which waves interact and measure how strong the interactions are. We derive general formulas for these coefficients in an arbitrary anisotropic material expressing them in terms of the second and the third derivatives of the strain energy. To illustrate our results, we analyse the most symmetric class of cubic crystals calculating the coefficients at the zero constant states. We first investigate the geometrically nonlinear and materially linear solid and then we study the influence of material nonlinearities on the interaction coefficients. The obtained formulas are expressed in terms of elastic constants.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.