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Citation: Advanced Modeling and Simulation in Engineering Sciences 2020 7:1
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Non-intrusive proper generalized decomposition involving space and parameters: application to the mechanical modeling of 3D woven fabrics
In our former works we proposed different Model Order Reduction strategies for alleviating the complexity of computational simulations. In fact we proved that separated representations are specially appealing ...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:13 -
Applications of SPDM in aircraft structural analysis at Embraer
Aircraft structural analysis is a process that involves several engineers working concurrently to analyze in detail all structural elements of an airframe, as well as the behavior of the aircraft structure as ...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:12 -
A minimally-intrusive fully 3D separated plate formulation in computational structural mechanics
Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allo...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:11 -
Reduced-order modelling of parametric systems via interpolation of heterogeneous surrogates
This paper studies parametric reduced-order modeling via the interpolation of linear multiple-input multiple-output reduced-order, or, more general, surrogate models in the frequency domain. It shows that real...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:10 -
An extension of assumed stress finite elements to a general hyperelastic framework
Assumed stress finite elements are known for their extraordinary good performance in the framework of linear elasticity. In this contribution we propose a mixed variational formulation of the Hellinger–Reissne...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:9 -
Evaluation of shear and membrane locking in refined hierarchical shell finite elements for laminated structures
Shear and membrane locking phenomena are fundamental issues of shell finite element models. A family of refined shell elements for laminated structures has been developed in the framework of Carrera Unified Fo...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:8 -
Modeling of cylindrical composite shell structures based on the Reissner’s Mixed Variational Theorem with a variable separation method
This work deals with the modeling of laminated composite and sandwich shells through a variable separation approach based on a Reissner’s Variational Mixed Theorem (RMVT). Both the displacement and transverse ...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:7 -
Thermodynamic properties of muscle contraction models and associated discrete-time principles
Considering a large class of muscle contraction models accounting for actin–myosin interaction, we present a mathematical setting in which solution properties can be established, including fundamental thermody...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:6 -
Some robust integrators for large time dynamics
This article reviews some integrators particularly suitable for the numerical resolution of differential equations on a large time interval. Symplectic integrators are presented. Their stability on exponential...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:5 -
Best theory diagrams for multilayered structures via shell finite elements
Composite structures are convenient structural solutions for many engineering fields, but their design is challenging and may lead to oversizing due to the significant amount of uncertainties concerning the cu...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:4 -
Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media
This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:3 -
Benchmark cases for robust explicit time integrators in non-smooth transient dynamics
This article introduces benchmark cases for time integrators devoted to non-smooth impact dynamics. It focuses on numerical properties of explicit integrators. Each case tests one necessary numerical property ...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:2 -
On the coupling of local 3D solutions and global 2D shell theory in structural mechanics
Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allo...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2019 6:1 -
Explicit Verlet time-integration for a Nitsche-based approximation of elastodynamic contact problems
The aim of the present paper is to study theoretically and numerically the Verlet scheme for the explicit time-integration of elastodynamic problems with a contact condition approximated by Nitsche’s method. T...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:31 -
A conservative penalisation strategy for the semi-implicit time discretisation of the incompressible elastodynamics equation
The principal aim of this work is to provide an adapted numerical scheme for the approximation of elastic wave propagation in incompressible solids. We rely on high-order conforming finite element with mass lu...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:30 -
Partitioned simulation strategies for fluid–structure–control interaction problems by Gauss–Seidel formulations
In this contribution the multi-physics problem of fluid–structure–control interaction (FSCI) is solved by an iterative, partitioned approach utilizing Gauss–Seidel formulations. The aim is to conduct a fully c...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:29 -
Reduced order models for thermally coupled low Mach flows
In this paper we present a collection of techniques used to formulate a projection-based reduced order model (ROM) for zero Mach limit thermally coupled Navier–Stokes equations. The formulation derives from a ...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:28 -
Correction to: Reduced order model of flows by time-scaling interpolation of DNS data
The original version of the article [1] unfortunately contained an error in the figure.
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:27 -
Reduced order model of flows by time-scaling interpolation of DNS data
A new reduced order model (ROM) is proposed here for reconstructing super-critical flow past circular cylinder and lid driven cavity using time-scaling of vorticity data directly. The present approach is a sig...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:26 -
Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems
We present the results of the first application in the naval architecture field of a methodology based on active subspaces properties for parameter space reduction. The physical problem considered is the one o...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:25 -
CARPIUC benchmark overview: crack advance, reorientation, propagation and initiation under complex loadings
A series of experiments has been performed to build a benchmark for the numerical modeling of mixed mode crack propagation in concrete. Two tests are selected so that the propagation is almost always stable al...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:24 -
An approach to hydraulic fracture in geomaterials through a porous brittle damage material model
A coupled hydromechanical code based on a distributed brittle damage material model has been developed in order to simulate hydraulic fracturing processes. As specific feature, the code does not assume the dev...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:23 -
Spacetime simulation of dynamic fracture with crack closure and frictional sliding
We combine the asynchronous spacetime discontinuous Galerkin (aSDG) method, an interfacial-damage fracture model, and a dynamic contact model to simulate dynamic fracture and crack closure in brittle materials...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:22 -
A robust algorithm for implicit description of immersed geometries within a background mesh
The paper presents a robust algorithm, which allows to implicitly describe and track immersed geometries within a background mesh. The background mesh is assumed to be unstructured and discretized by tetrahedr...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:21 -
Large scale random fields generation using localized Karhunen–Loève expansion
In this paper the generation of random fields when the domain is much larger than the characteristic correlation length is made using an adaptation of the Karhunen–Loève expansion (KLE). The KLE requires the c...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:20 -
Realization of CAD-integrated shell simulation based on isogeometric B-Rep analysis
An entire design-through-analysis workflow solution for isogeometric B-Rep analysis (IBRA), including both the interface to existing CADs and the analysis procedure, is presented. Possible approaches are elabo...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:19 -
Full thermo-mechanical coupling using eXtended finite element method in quasi-transient crack propagation
This work aims to present a complete full coupling eXtended finite element formulation of the thermo-mechanical problem of cracked bodies. The basic concept of the extended finite element method is discussed i...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:18 -
Experimental characterization and constitutive modeling of the non-linear stress–strain behavior of unidirectional carbon–epoxy under high strain rate loading
The mechanical response of IM7-8552 carbon epoxy was investigated for transverse tension and transverse tension/in-plane shear loadings at static and dynamic strain rates using transverse tension and off-axis ...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:17 -
A review of some geometric integrators
Some of the most important geometric integrators for both ordinary and partial differential equations are reviewed and illustrated with examples in mechanics. The class of Hamiltonian differential systems is r...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:16 -
A simple and unified implementation of phase field and gradient damage models
In this work, the analogous treatment between coupled temperature–displacement problems and material failure models is explored within the context of a commercial software (Abaqus®). The implicit gradient Lema...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:15 -
A non-intrusive global/local approach applied to phase-field modeling of brittle fracture
This paper aims at investigating the adoption of non-intrusive global/local approaches while modeling fracture by means of the phase-field framework. A successful extension of the non-intrusive global/local ap...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:14 -
Multilevel preconditioners for embedded enriched partition of unity approximations
In this paper we are concerned with the non-invasive embedding of enriched partition of unity approximations in classical finite element simulations and the efficient solution of the resulting linear systems. ...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:13 -
On the effect of the contact surface definition in the Cartesian grid finite element method
The definition of the surface plays an important role in the solution of contact problems, as the evaluation of the contact force is based on the measure of the gap between the solids. In this work three diffe...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:12 -
A non-invasive node-based form finding approach with discretization-independent target configuration
Form finding is used to optimize the shape of a semi-finished product, i.e. the material configuration in a forming process. The geometry of the semi-finished product is adapted so that the computed spatial co...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:11 -
On the use of reduced integration in combination with discontinuous Galerkin discretization: application to volumetric and shear locking problems
In the present work, the discontinuous Galerkin (DG) method is applied to linear elasticity for two-dimensional and three-dimensional settings. A locking-free element formulation based on reduced integration a...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:10 -
Simulation of impacts on elastic–viscoplastic solids with the flux-difference splitting finite volume method applied to non-uniform quadrilateral meshes
The flux-difference splitting finite volume method (Leveque in J Comput Phys 131:327–353, 1997; Leveque in Finite volume methods for hyperbolic problems. Cambridge: Cambridge University Press, 2002) is here emplo...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:9 -
Recent advancements on the phase field approach to brittle fracture for heterogeneous materials and structures
Recent advancements on the variational approach to fracture for the prediction of complex crack patterns in heterogeneous materials and composite structures is herein proposed, as a result of the frontier rese...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:8 -
FFT-based interface decohesion modelling by a nonlocal interphase
In this paper, two nonlocal approaches to incorporate interface damage in fast Fourier transform (FFT) based spectral methods are analysed. In FFT based methods, the discretisation is generally non-conforming ...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:7 -
CutIGA with basis function removal
We consider a cut isogeometric method, where the boundary of the domain is allowed to cut through the background mesh in an arbitrary fashion for a second order elliptic model problem. In order to stabilize th...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:6 -
A computational approach for thermo-elasto-plastic frictional contact based on a monolithic formulation using non-smooth nonlinear complementarity functions
A new monolithic solution scheme for thermo-elasto-plasticity and thermo-elasto-plastic frictional contact with finite deformations and finite strains is presented. A key feature is the reformulation of all in...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:5 -
Non-invasive global–local coupling as a Schwarz domain decomposition method: acceleration and generalization
The non-invasive global–local coupling algorithm is revisited and shown to realize a simple implementation of the optimized non-overlapping Schwarz domain decomposition method. This connection is used to propo...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:4 -
Space–time POD based computational vademecums for parametric studies: application to thermo-mechanical problems
Standard numerical simulations for optimization or inverse identification of welding processes remain costly and difficult due to their multi-parametric aspect and inherent complexity. The aim of this paper is...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:3 -
A hierarchical non-intrusive algorithm for the generalized finite element method
An algorithm for non-intrusively coupling a commercial finite element software with a research code implementing a hierarchical enrichment of finite element spaces is presented. Examples of hierarchical method...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:2 -
Multiscale analysis of complex aeronautical structures using robust non-intrusive coupling
The multiscale analysis of large composite aeronautical structures involves the development of robust coupling strategies. Among the latter, non-intrusive coupling is attractive, since it is able to consistent...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2018 5:1 -
Convergence study of the h-adaptive PUM and the hp-adaptive FEM applied to eigenvalue problems in quantum mechanics
In this paper the h-adaptive partition-of-unity method and the h- and hp-adaptive finite element method are applied to eigenvalue problems arising in quantum mechanics, namely, the Schrödinger equation with Coulo...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2017 4:7 -
On the construction of approximation space to model discontinuities and cracks with linear and quadratic extended finite elements
This paper presents a robust enrichment strategy to model weak and strong discontinuities as well as cracks for industrial applications. First, numerical issues encountered with popular extended finite element...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2017 4:6 -
Enhanced features of a constitutive equation gap identification method for heterogeneous elastoplastic behaviours
To identify mechanical properties in heterogeneous materials, the local stress fields have to be estimated. The recent developments in imaging techniques allow reaching precise and spatially dense kinematic fi...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2017 4:5 -
Correction to: Comparison between thick level set (TLS) and cohesive zone models
In the publication of this article [1], there was an error in some equations.
Citation: Advanced Modeling and Simulation in Engineering Sciences 2017 4:4 -
Finite-strain three-dimensional solids with rotational degrees of freedom: non-linear statics and dynamics
In this paper we seek refined yet efficient computational models of large overall motion in statics and dynamics. The efficiency is achieved by the proposed model of 8-node brick element with rotational degree...
Citation: Advanced Modeling and Simulation in Engineering Sciences 2017 4:3
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- ISSN: 2213-7467 (electronic)