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Article
An isogeometric FSDT approach for the study of nonlinear vibrations in truncated viscoelastic conical shells
Nonlinear vibrations of truncated viscoelastic conical shell (TVCS) structures are studied using an isogeometric formulation based on non-uniform rational B-spline (NURBS) basis functions. The governing equati...
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Article
Open AccessLagrangian particle-based simulation of waves: a comparison of SPH and PFEM approaches
Lagrangian numerical methods are particularly suitable to reproduce flows involving large and rapid deformation of the domain, fluid splitting and coalescence, jets and sprays. The absence of the convective te...
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Article
Open AccessHigher order phase-field modeling of brittle fracture via isogeometric analysis
The evolution of brittle fracture in a material can be conveniently investigated by means of the phase-field technique introducing a smooth crack density functional. Following Borden et al. (2014), two distinct t...
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Article
Open AccessCombining noisy well data and expert knowledge in a Bayesian calibration of a flow model under uncertainties: an application to solute transport in the Ticino basin
Groundwater flow modeling is commonly used to calculate groundwater heads, estimate groundwater flow paths and travel times, and provide insights into solute transport processes within an aquifer. However, the...
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Chapter
Towards the Healthcare of the Future. A Delphi Consensus on Environmental Sustainability Issues
The healthcare sector has always paid attention to social and economic sustainability. Still, healthcare is a relevant industry with a high environmental impact. There is a call to include and consider environ...
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Article
Special issue: Numerical simulation for additive manufacturing processes and products
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Article
Open AccessTwo-level method part-scale thermal analysis of laser powder bed fusion additive manufacturing
Numerical simulations of a complete laser powder bed fusion (LPBF) additive manufacturing (AM) process are extremely challenging, or even impossible, to achieve without a radical model reduction of the complex...
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Article
Open AccessDynamic mode decomposition in adaptive mesh refinement and coarsening simulations
Dynamic mode decomposition (DMD) is a powerful data-driven method used to extract spatio-temporal coherent structures that dictate a given dynamical system. The method consists of stacking collected temporal s...
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Article
Open AccessPhase-field approach to evolution and interaction of twins in single crystal magnesium
Crack initiation and propagation as well as abrupt occurrence of twinning are challenging fracture problems where the transient phase-field approach is proven to be useful. Early-stage twinning growth and inte...
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Chapter and Conference Paper
Additive Manufacturing: Challenges and Opportunities for Structural Mechanics
Additive Manufacturing (AM) is an innovative manufacturing technology which has known over the recent years a widespread adoption among many key industrial sectors. However, the potentiality of such a technolo...
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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...
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Article
Open AccessAssessing the Spatio-temporal Spread of COVID-19 via Compartmental Models with Diffusion in Italy, USA, and Brazil
The outbreak of COVID-19 in 2020 has led to a surge in interest in the mathematical modeling of infectious diseases. Such models are usually defined as compartmental models, in which the population under study...
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Article
Open AccessMixed variational formulations for structural topology optimization based on the phase-field approach
We propose a variational principle combining a phase-field functional for structural topology optimization with a mixed (three-field) Hu–Washizu functional, then including directly in the formulation equilibri...
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Article
Open AccessNumerical Evaluation of Advanced Laser Control Strategies Influence on Residual Stresses for Laser Powder Bed Fusion Systems
Process-dependent residual stresses are one of the main burdens to a widespread adoption of laser powder bed fusion technology in industry. Residual stresses are directly influenced by process parameters, such...
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Article
Open AccessDiffusion–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...
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Article
Hierarchically refined isogeometric analysis of trimmed shells
This work focuses on the study of several computational challenges arising when trimmed surfaces are directly employed for the isogeometric analysis of Kirchhoff–Love shells. To cope with these issues and to r...
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Article
A simple and effective method based on strain projections to alleviate locking in isogeometric solid shells
In this work, we focus on the family of shell formulations referred to as “solid shells”, where the simulation of shell-type structures is performed by means of a mesh of 3D solid elements, with typically only...
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Chapter
Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains
In this contribution, we coupled the isogeometric analysis to a reduced order modelling technique in order to provide a computationally efficient solution in parametric domains. In details, we adopt the free-f...
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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...
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Article
Symbol-Based Analysis of Finite Element and Isogeometric B-Spline Discretizations of Eigenvalue Problems: Exposition and Review
We present an example-based exposition and review of recent advances in symbol-based spectral analysis. We consider constant- and variable-coefficient, second-order eigenvalue problems discretized through the ...
