Special Session 123: New trends in elliptic and parabolic PDEs

Resonant modes of two hard inclusions within a soft elastic material and their stress estimates

Longjuan Xu
Capital Normal University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we will discuss subwavelength resonant modes of two hard inclusions embedding in soft elastic materials to realize negative materials in elasticity. We will show that the resonant modes are categorized into dipolar, quadrupolar, and hybrid groups, facilitating the effective realization of negative mass density, negative shear modulus and double-negative properties in elastic metamaterials. Moreover, we will analyze the stress distribution between two hard inclusions when they are closely touching.