A continuous model for the wave scattering by a bounded defective domain. (English) Zbl 1387.74060
dell’Isola, Francesco (ed.) et al., Mathematical modelling in solid mechanics. Contributions mainly based on the presentations at the international conference ‘Emerging trends in applied mathematics and mechanics’, ETAMM 2016, Perpignan, France, May 30 – June 3, 2016. Singapore: Springer (ISBN 978-981-10-3763-4/hbk; 978-981-10-3764-1/ebook). Advanced Structured Materials 69, 107-122 (2017).
Summary: Elastic wave propagation and scattering in a media containing a continuous density of defect is modeled with a geometrical approach. The material is supposed to be a Riemann-Cartan manifold with a connection enriched by a nonzero torsion. The study is followed until to reveal analytical solutions. The scattering of a defective domain shows explicitly some non-classical phenomena.
For the entire collection see [Zbl 1381.74008].
For the entire collection see [Zbl 1381.74008].
MSC:
| 74J20 | Wave scattering in solid mechanics |
| 53Z05 | Applications of differential geometry to physics |
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