In this talk, the spectrum of the Neumann-Poincar´e operator is briefly discussed. Then different kinds of structures are explored to effectively achieve the negative elastic metamaterials. First, the structure involving the bubbles embedded within the soft elastic materials will be discussed, offering an effective means to achieve the negative bulk modulus. Then the configuration incorporating hard inclusions embedded in the soft elastic matrix shall be investigated, enabling the attainment of negative values in the mass density and shear modulus.
报告人简介:Dr. Hongjie Li currently serves as an Assistant Professor at Tsinghua University. Before joining Tsinghua, he held the position of Research Assistant Professor at The Chinese University of Hong Kong. He earned his Ph.D. in Applied Mathematics from the Hong Kong Baptist University in 2019. Dr. Li's research spans various domains, including inverse problems, partial differential equations, mathematical materials science, asymptotic and spectral analysis, finite element methods, numerical analysis, and scientific computing.