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arXiv · 2311.00707

Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple

Panos Gourgiotis·Gianluca Rizzi·Peter Lewintan·Davide Bernardini·Adam Sky·Angela Madeo·Patrizio Neff
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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.

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Panos Gourgiotis, Gianluca Rizzi, Peter Lewintan, Davide Bernardini, Adam Sky, Angela Madeo, Patrizio Neff. 2023-10-18. Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple. https://doi.org/10.1016/j.ijsolstr.2024.112700

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