Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple
Analysis of PDEs
2024-02-23 v2 Mathematical Physics
math.MP
Abstract
We derive the Green's functions (concentrated force and couple in an infinite space) for the isotropic planar relaxed micromorphic model. Since the relaxed micromorphic model particularises into the microstretch, Cosserat (micropolar), couple-stress, and linear elasticity model for certain choices of material parameters, we recover the fundamental solutions in all these cases.
Keywords
Cite
@article{arxiv.2311.00707,
title = {Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple},
author = {Panos Gourgiotis and Gianluca Rizzi and Peter Lewintan and Davide Bernardini and Adam Sky and Angela Madeo and Patrizio Neff},
journal= {arXiv preprint arXiv:2311.00707},
year = {2024}
}