Monday, February 21, 2022 - 14:00 in H7 + Zoom
Asymptotic analysis of a coupled system of nonlocal equations with oscillatory coefficients
A talk in the Nonlocal Equations: Analysis and Numerics series by
Tadele A. Mengesha from Tennessee
| Abstract: |
In this talk I will discuss on the asymptotic behavior of solutions of a system of strongly coupled integral equations with oscillatory coefficients. The system of equations is motivated by a peridynamic model of the deformation of heterogeneous media that additionally accounts for short-range forces. We consider the vanishing nonlocality limit on the same length scale as the heterogeneity and show that the system's effective behavior is characterized by a coupled system of partial differential equations that are elliptic in the sense of Legendre-Hadamard. This effective system is characterized by a fourth-order tensor that shares properties with Cauchy elasticity tensors that appear in the classical equilibrium equations for linearized elasticity. This is a joint work with James M. Scott.
Within the CRC this talk is associated to the project(s): A7 |
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