Abstract
A perturbation solution is obtained for the propagation of longitudinal shock waves in a one-dimensional dissipative lattice with a velocity step applied to the first mass. The nonlinear part of the elastic interaction force between neighboring particles is assumed to be of parabolic form. Linear dissipation interaction forces are assumed. Within the range of validity of the solution, the dispersive oscillations at the head of the shock wave are found to grow, remain essentially steady, or diminish with distance, depending on the conflicting effects of nonlinearity of the elastic forces and the dissipative forces.
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.
