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  1. Article

    Open Access

    A continuous model for the simulation of manufacturing swarm robotics

    Manufacturing large and/or complex structural components is today non-trivial and far-too expensive, due to limitations in the state-of-the-art production processes. Swarm robotics could then bring a different...

    Ferdinando Auricchio in Computational Mechanics (2022)

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    Chapter

    Free Bloch Wave Propagation in Periodic Cauchy Materials: Analytical and Computational Strategies

    The mechanical behaviour of periodic three-dimensional non-homogeneous solids can be functionally designed by optimizing their cellular composite microstructure. The present contribution aims at establishing a...

    Ferdinando Auricchio, Andrea Bacigalupo in Current Trends and Open Problems in Comput… (2022)

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    Chapter

    The Finite Cell Method for Simulation of Additive Manufacturing

    Additive manufacturing processes are driven by moving laser-induced thermal sources which induce strong heat fluxes and fronts of phase change coupled to mechanical fields. Their numerical simulation poses sev...

    Stefan Kollmannsberger, Davide D’Angella in Non-standard Discretisation Methods in Sol… (2022)

  4. Article

    Open Access

    Diffusion–reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study

    The outbreak of COVID-19 in 2020 has led to a surge in interest in the research of the mathematical modeling of epidemics. Many of the introduced models are so-called compartmental models, in which the total quan...

    Alex Viguerie, Alessandro Veneziani, Guillermo Lorenzo in Computational Mechanics (2020)

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    Article

    Optimization clustering technique for PieceWise Uniform Transformation Field Analysis homogenization of viscoplastic composites

    Aim of the present study is to propose an enhanced method for the domain decomposition (clustering) of the representative volume element (RVE) of composite materials to be used with homogenization techniques, ...

    Gianluca Alaimo, Ferdinando Auricchio, Sonia Marfia, Elio Sacco in Computational Mechanics (2019)

  6. No Access

    Article

    Graded-material design based on phase-field and topology optimization

    In the present work we introduce a novel graded-material design based on phase-field and topology optimization. The main novelty of this work comes from the introduction of an additional phase-field variable i...

    Massimo Carraturo, Elisabetta Rocca, Elena Bonetti in Computational Mechanics (2019)

  7. No Access

    Article

    Explicit parametric solutions of lattice structures with proper generalized decomposition (PGD)

    Architectured materials (or metamaterials) are constituted by a unit-cell with a complex structural design repeated periodically forming a bulk material with emergent mechanical properties. One may obtain spec...

    Alberto Sibileau, Alberto García-González, Ferdinando Auricchio in Computational Mechanics (2018)

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    Article

    Fiber-reinforced materials: finite elements for the treatment of the inextensibility constraint

    The present paper proposes a numerical framework for the analysis of problems involving fiber-reinforced anisotropic materials. Specifically, isotropic linear elastic solids, reinforced by a single family of i...

    Ferdinando Auricchio, Giulia Scalet, Peter Wriggers in Computational Mechanics (2017)

  9. No Access

    Article

    On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations

    In this work we investigate different mixed finite element formulations for the detection of critical loads for the possible occurrence of bifurcation and limit points. In detail, three- and two-field formulat...

    Jörg Schröder, Nils Viebahn, Peter Wriggers in Computational Mechanics (2017)

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    Article

    Efficient uncertainty quantification in stochastic finite element analysis based on functional principal components

    The great influence of uncertainties on the behavior of physical systems has always drawn attention to the importance of a stochastic approach to engineering problems. Accordingly, in this paper, we address th...

    Ilaria Bianchini, Raffaele Argiento, Ferdinando Auricchio in Computational Mechanics (2015)

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    Article

    Approximation of incompressible large deformation elastic problems: some unresolved issues

    Several finite element methods for large deformation elastic problems in the nearly incompressible and purely incompressible regimes are considered. In particular, the method ability to accurately capture crit...

    Ferdinando Auricchio, Lourenço Beirão da Veiga, Carlo Lovadina in Computational Mechanics (2013)