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In this paper, we present a robust and efficient unfitted concurrentmultiscale method for continuum-continuum coupling, based on the Cut FiniteElement Method (CutFEM). The computational domain is defined using approximatesigned distance functions over a fixed background mesh and is decomposed intomicroscale and macroscale regions using a novel zooming technique. The zoominterface is represented by a signed distance function intersecting thecomputational mesh arbitrarily. The mesh inside the zoomed region ishierarchically refined to resolve the microstructure. In the examplesconsidered, the microstructure may contain voids and hard inclusions, and itsgeometry is defined implicitly by a signed distance function interpolated overthe refined mesh.  Our zooming technique allows the zoom interface to intersect themicrostructure interface in an arbitrary fashion, enabling greater flexibilityand accuracy in the modelling of complex geometries. The micro and macroregions are coupled using Nitsche's method, ensuring stability and accuracy inthe solution. Ghost penalty terms are utilised to ensure the stability of cutelements along the zoom interface and the microstructure interface.  To demonstrate the effectiveness of our framework, we apply it for modellingseveral heterogeneous structures with both linear elasticity and plasticityconstitutive behaviours. The results show that our framework is robust andefficient, producing accurate and reliable solutions for such problems. Ourproposed method provides a highly versatile and effective approach tomultiscale modeling of structures with complex microstructures, and has thepotential to be extended to problems requiring seamless moving of zoomingregion(s) during the simulation, such as damage growth and fracturepropagation.

Local uncovering of unresolved physics in structural mechanics: seamless choice of modelling resolution using a CutFEM level-set approach