3 papers
math.AP2021
Asymptotic analysis of the stress concentration between two adjacent stiff inclusions in all dimensions
Zhiwen Zhao, Xia Hao
In the region between two closely located stiff inclusions, the stress, which is the gradient of a solution to the Lamé system with partially infinite coefficients, may become arbi…
math.AP2021
Gradient asymptotics of solutions to the Lamé systems in the presence of two nearly touching -inclusions in all dimensions
Xia Hao, Zhiwen Zhao
In this paper, we establish the asymptotic expressions for the gradient of a solution to the Lamé systems with partially infinity coefficients as two rigid -inclusions are…
math.AP2021
Singularities of the stress concentration in the presence of -inclusions with core-shell geometry
Zhiwen Zhao, Xia Hao
In high-contrast composites, if an inclusion is in close proximity to the matrix boundary, then the stress, which is represented by the gradient of a solution to the Lamé systems o…