Search results for "T method"

showing 10 items of 1254 documents

Metallurgical Phenomena Modelling in Friction Stir Welding of Aluminium Alloys: Analytical vs. Neural Network Based Approaches

2008

In this paper, the metallurgical phenomena occurring in friction stir welding processes of AA6082-T6 and AA7075-T6 aluminum alloys are investigated. In particular, to predict the local values of the average grain size, either a simple analytical expression depending on a few material constants or a properly trained neural network is linked to the finite element model of the process. The utilized tools, which take as inputs the local values of strain, strain rate, and temperature, were developed starting from experimental data and numerical results.

FSW CDRX RecrystallizationMaterials scienceArtificial neural networkMechanical EngineeringMetallurgyRecrystallization (metallurgy)chemistry.chemical_elementWeldingStrain rateCondensed Matter PhysicsFinite element methodGrain sizelaw.inventionchemistryMechanics of MaterialsAluminiumlawFriction stir weldingGeneral Materials ScienceSettore ING-IND/16 - Tecnologie E Sistemi Di Lavorazione
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Simple algorithms for calculation of the axial‐symmetric heat transport problem in a cylinder

2001

The approximation of axial‐symmetric heat transport problem in a cylinder is based on the finite volume method. In the classical formulation of the finite volume method it is assumed that the flux terms in the control volume are approximated with the finite difference expressions. Then in the 1‐D case the corresponding finite difference scheme for the given source function is not exact. There we propose the exact difference scheme. In 2‐D case the corresponding integrals are approximated using different quadrature formulae. This procedure allows one to reduce the heat transport problem described by a partial differential equation to an initial‐value problem for a system of two ordinary diff…

FTCS schemeFinite volume methodDifferential equationMathematical analysisFinite difference method-Parabolic partial differential equationFinite element methodModeling and SimulationQA1-939CylinderAnalysisSIMPLE algorithmMathematicsMathematicsMathematical Modelling and Analysis
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Facial Expressions to Evaluate Advertising: A Laboratory versus Living Room Study

2017

In recent years researchers have shown growing interest in the impact of emotions in television commercials and in advertising in general (Park and Thorson, 1990). Emotions also influence the attitude towards the brand and to the ad (Batney and Ray, 1986; Edell and Burke, 1987; Derbaix, 1995), increase the attention of the advertisement (Olney, Hobrook and Bartra, 1991), and brand recall (Stayman and Batra, 1991).

Facial expressionRecall0206 medical engineering05 social sciences0501 psychology and cognitive sciencesAdvertising050102 behavioral science & comparative psychology02 engineering and technologyExplicit methodLiving roomPsychology020601 biomedical engineering
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Cyclic coordinate for penalized Gaussian graphical models with symmetry restriction

2014

In this paper we propose two efficient cyclic coordinate algorithms to estimate structured concentration matrix in penalized Gaussian graphical models. Symmetry restrictions on the concentration matrix are particularly useful to reduce the number of parameters to be estimated and to create specific structured graphs. The penalized Gaussian graphical models are suitable for high-dimensional data.

Factorial dynamic Gaussian graphical models Gaussian graphical models graphical lasso cyclic coordinate descent methodsSettore SECS-S/01 - Statistica
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In-situ NDT testing procedure as an integral part of failure analysis of historical masonry arch bridges

2015

Abstract A nineteenth-century masonry arch bridge was analyzed as an illustrative example to explain the role of in-situ test campaigns in failure analysis and retrofit design. Test results were studied to find out the advantages of each technique, with the aim of proposing an optimized in-situ testing procedure. Standard static penetrometer, flat jack, thermographic and georadar in-situ tests were conducted. Traffic effects were analyzed by means of vibrational tests. The experimental analysis performed to investigate damage on the bridge structures shows the degree of reliability offered by each technique in evaluating specific information and reproducing the global behavior of the struct…

Failure analysisEngineeringFinite element methodDrawingBridge (nautical)law.inventionHistorical arch bridgeEngineering (all)lawNondestructive testingDiagnosisForensic engineeringGeneral Materials ScienceFailure analysiMasonryMasonry; Historical arch bridges; Failure analysis; Diagnosis; Drawing; Finite element methodReliability (statistics)business.industryGeneral EngineeringStructural engineeringMasonryHistorical arch bridgesPenetrometerFinite element methodMaterials Science (all)businessMasonry archDiagnosi
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Hierarchical fast BEM for anisotropic time-harmonic 3-D elastodynamics

2012

The paper presents a fast boundary element method for anisotropic time-harmonic 3-D elastodynamic problems. The approach uses the hierarchical matrices format and the ACA algorithm for the collocation matrix setup and a preconditioned GMRES solver for the solution. The development of this approach for the anisotropic case presents peculiar aspects which deserve investigation and are studied in the paper leading to the employed computational strategy and its effective tuning. Numerical experiments are presented to assess the method accuracy, performances and numerical complexity. The method ensures adequate accuracy allowing remarkable reductions in computation time and memory storage.

Fast BEMMathematical optimizationCollocationTime harmonicMechanical EngineeringComputationSolverLarge scale computationsGeneralized minimal residual methodComputer Science ApplicationsMatrix (mathematics)Modeling and SimulationGeneral Materials ScienceAnisotropyAnisotropic elastodynamicAlgorithmBoundary element methodCivil and Structural EngineeringMathematics
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A second-order sparse factorization method for Poisson's equation with mixed boundary conditions

1992

Abstract We propose an algorithm for solving Poisson's equation on general two-dimensional regions with an arbitrary distribution of Dirichlet and Neumann boundary conditions. The algebraic system, generated by the five-point star discretization of the Laplacian, is solved iteratively by repeated direct sparse inversion of an approximating system whose coefficient matrix — the preconditioner — is second-order both in the interior and on the boundary. The present algorithm for mixed boundary value problems generalizes a solver for pure Dirichlet problems (proposed earlier by one of the authors in this journal (1989)) which was found to converge very fast for problems with smooth solutions. T…

Fast solverPreconditionerfactorization methodApplied MathematicsMathematical analysisBoundary (topology)Dirichlet and Neumann conditionsMixed boundary conditionPreconditioned Conjugate Gradient methodComputational Mathematicssymbols.namesakeDirichlet boundary conditionConjugate gradient methodgeneral regionsNeumann boundary conditionsymbolsBoundary value problemPoisson's equationMathematicsJournal of Computational and Applied Mathematics
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Micro damage and cracking in fibre reinforced composites by a novel hybrid numerical technique

2020

Article number 0033974 AIP Incluida en Conference Proceedings 2309 The prediction of failure mechanisms in fibre-reinforced composite materials is of great importance for the design of composite engineering applications. With the aim of providing a tool able to predict and explain the initiation and propagation of damage in unidirectional fiber reinforced composites, in this contribution we develop a micromechanical numerical model based on a novel hybrid approach coupling the virtual element method (VEM) and the boundary element method (BEM). The BEM is a popular numerical technique, efficient and accurate, which has been successfully applied to interfacial fracture mechanics problems of f…

Fiber Reinforced Composites Micro-mechanics Fracture-Mechanics Virtual Element MethodMixed ModeComputer scienceComposite numberFiber-reinforced compositeFinite element methodMatrix (mathematics)Fracture (geology)Coupling (piping)Polygon meshPolycrystalline MaterialsComposite materialSettore ING-IND/04 - Costruzioni E Strutture AerospazialiBoundary element methodCohesive Zone Model
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A symmetric Galerkin boundary/domain element method for finite elastic deformations

2000

Abstract The Symmetric Galerkin Boundary Element Method (SGBEM) is reformulated for problems of finite elasticity with hyperelastic material and incompressibility, using fundamental solutions related to a (fictitious) homogeneous isotropic and compressible linear elastic material. The proposed formulation contains, besides the standard boundary integrals, domain integrals which account for the problem's nonlinearities through some (fictitious) initial strain and stress fields required to satisfy appropriate “consistency” equations. The boundary/domain integral equation problem so obtained is shown to admit a stationarity principle (a consequence of the Hu-Washizu one), which covers a number…

Fictitious domain methodMechanical EngineeringLinear elasticityMathematical analysisComputational MechanicsGeneral Physics and AstronomyMixed boundary conditionComputer Science ApplicationsMechanics of MaterialsHyperelastic materialFree boundary problemMethod of fundamental solutionsGalerkin methodBoundary element methodMathematicsComputer Methods in Applied Mechanics and Engineering
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Boundary/Field Variational Principles for the Elastic Plastic Rate Problem

1991

An elastic-plastic continuous solid body under quasi-statically variable external actions is herein addressed in the hypoteses of rate-independent material model with dual internal variables and of infinitesimal displacements and strains. The related analysis problem for assigned rate actions is first formulated through a boundary/field integral equation approach, then is shown to be characterized by two variational principles, one of which is a stationarity theorem, the other a min-max one.

Field (physics)Variational principleInfinitesimalMathematical analysisBoundary (topology)Solid bodyIntegral equationBoundary element methodVariable (mathematics)Mathematics
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