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 particularizes into the micro-stretch, Cosserat (micropolar), couple-stress, and linear elasticity model for certain choices of material parameters, we recover the fundamental solutions in all these cases.

Green's functions for the isotropic planar relaxed micromorphic model — Concentrated force and concentrated couple / Gourgiotis, P.; Rizzi, G.; Lewintan, P.; Bernardini, D.; Sky, A.; Madeo, A.; Neff, P.. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - 292:(2024). [10.1016/j.ijsolstr.2024.112700]

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

Bernardini D.;
2024

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 particularizes into the micro-stretch, Cosserat (micropolar), couple-stress, and linear elasticity model for certain choices of material parameters, we recover the fundamental solutions in all these cases.
2024
Cosserat; Couple stress; Fundamental solutions; Gauge invariant dislocation model; Generalized continua; Kelvin problem; Micro-stretch; Micromorphic continuum; Micropolar; Relaxed micromorphic
01 Pubblicazione su rivista::01a Articolo in rivista
Green's functions for the isotropic planar relaxed micromorphic model — Concentrated force and concentrated couple / Gourgiotis, P.; Rizzi, G.; Lewintan, P.; Bernardini, D.; Sky, A.; Madeo, A.; Neff, P.. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - 292:(2024). [10.1016/j.ijsolstr.2024.112700]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1706947
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