Abstract
Some new variational principles for elastodynamic problems, which reduce to the Hashin-Shtrikman principle in the static limit, are presented. They are deduced from dynamical analogues of the classical energy principles of elastostatics by performing appropriate rearrangements and then neglecting certain terms that are quadratic in a measure of the error associated with the approximating trial fields. One of the new principles is then employed to develop equations that provide an approximate description of waves in a random composite. These equations make optimal use of the pair correlations of the composite, in the sense that better approximation (relative to the variational principle) would unavoidably involve correlations of higher order.
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 callDisclaimer: 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.
