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Can I read On a Non-linear Wave Equation in Elasticity on EtoBox?
On a Non-linear Wave Equation in Elasticity by B.-F. Apostol is a Physics and Astronomy article available to read on EtoBox.
What is On a Non-linear Wave Equation in Elasticity about?
It is shown that anharmonic corrections to the elastic energy may lead to unphysical solutions for the elastic movements. The equation of motion for longitudinal deformations with third-order anharmonic terms is identified as the continuum limit of the Fermi-Pasta-Ulam equation. This equation is solved exactly by elementary quadratures, and the corresponding timedependence is shown to exhibit singularities at finite times. The first terms in the asymptotic series of the quasi-plane-waves solution are also computed for this equation. It is also shown that resonances may appear in the elastic waves as a consequence of their mutual coupling through non-linearities, and an example is explicitly computed for a transverse wave coupled to a longitudinal one, propagating along the same direction.
Who reads On a Non-linear Wave Equation in Elasticity?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- B.-F. Apostol
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0375-9601)
- Published
- 2003
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)