Search results for "Computational micro-mechanics"

showing 3 items of 3 documents

Virtual Element based formulations for computational materials micro-mechanics and homogenization

2021

In this thesis, a computational framework for microstructural modelling of transverse behaviour of heterogeneous materials is presented. The context of this research is part of the broad and active field of Computational Micromechanics, which has emerged as an effective tool both to understand the influence of complex microstructure on the macro-mechanical response of engineering materials and to tailor-design innovative materials for specific applications through a proper modification of their microstructure. While the classical continuum approximation does not account for microstructural details within the material, computational micromechanics allows detailed modelling of a heterogeneous…

Settore ING-IND/04 - Costruzioni E Strutture AerospazialiFibre-reinforced Composite Materials Computational Micro-mechanics Computational Homogenization Continuum Damage Mechanics Virtual Element Method Boundary Element Method
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A hybrid virtual–boundary element formulation for heterogeneous materials

2021

Abstract In this work, a hybrid formulation based on the conjoined use of the recently developed Virtual Element Method (VEM) and the Boundary Element Method (BEM) is proposed for the effective computational analysis of multi-region domains, representative of heterogeneous materials. VEM has been recently developed as a generalisation of the Finite Element Method (FEM) and it allows the straightforward employment of elements of general polygonal shape, maintaining a high level of accuracy. For its inherent features, it allows the use of meshes of general topology, including non-convex elements. On the other hand, BEM is an effective technique for the numerical solution of sets of boundary i…

Computer scienceMechanical Engineering02 engineering and technology021001 nanoscience & nanotechnologyCondensed Matter PhysicsHomogenization (chemistry)Finite element methodComputational scienceMatrix (mathematics)020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsConvergence (routing)Fibre-reinforced Composite MaterialsComputational Micro-mechanicsComputational HomogenizationContinuum Damage MechanicsVirtual Element MethodBoundary Element MethodGeneral Materials SciencePolygon meshSettore ING-IND/04 - Costruzioni E Strutture Aerospaziali0210 nano-technologyReduction (mathematics)Boundary element methodCivil and Structural EngineeringCurse of dimensionalityInternational Journal of Mechanical Sciences
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An integral framework for computational thermo-elastic homogenization of polycrystalline materials

2023

A grain scale framework for thermo-elastic analysis and computational homogenization of polycrystalline materials is proposed. The morphology of crystal aggregates is represented employing Voronoi tessellations, which retain the main statistical features of polycrystalline materials. The behaviour of the individual grains is modelled starting from an integral representation for anisotropic thermo-elasticity, which is numerically addressed through a dual reciprocity boundary element method. The integrity of the aggregate is enforced through suitable intergranular thermo-elastic continuity conditions. By virtue of the features of the underlying formulation, the polycrystalline thermo-elastic …

Mechanics of MaterialsMechanical EngineeringComputational homogenizationPolycrystalline materialsMultiscale materials modellingComputational MechanicsBoundary element methodGeneral Physics and AstronomyThermo-elasticitySettore ING-IND/04 - Costruzioni E Strutture AerospazialiComputational micro-mechanicsComputer Science ApplicationsComputer Methods in Applied Mechanics and Engineering
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