5 papers
Elastic Calderón Problem via Resonant Hard Inclusions: Linearisation of the N-D Map and Density Reconstruction
Huaian Diao, Mourad Sini, Ruixiang Tang
We study an elastic Calderon-type inverse problem: recover the mass density in a bounded domain from the Neumann-to-Dirichlet map associated with th…
Stress concentration via quasi-Minnaert resonance in bubble-elastic structures and applications
Ruixiang Tang, Huaian Diao, Hongyu Liu +1
Stress concentration in bubble-elastic scattering scenarios has significant applications in engineering blasting and medical treatments. This study provides a comprehensive mathema…
Non-radiating elastic sources in inhomogeneous elastic media at corners with applications
Huaian Diao, Yueran Geng, Ruixiang Tang
This paper is concerned with non-radiating elastic sources in inhomogeneous elastic media. We demonstrate that the value of non-radiating elastic sources must vanish at convex corn…
Quasi-Minnaert Resonances in 2D Elastic Wave Scattering with Applications
Huaian Diao, Kaixin Lu, Ruixiang Tang +1
In our earlier work [13], we introduced a novel quasi-Minnaert resonance for three-dimensional elastic wave scattering in the sub-wavelength regime. Therein, we provided a rigorous…
On quasi-Minnaert resonances in elasticity and their applications to stress concentrations
Huaian Diao, Ruixiang Tang, Hongyu Liu
This paper unveils and investigates a novel quasi-Minnaert resonance for an elastic hard inclusion embedded in a soft homogeneous medium in the sub-wavelength regime. The quasi-Min…