Search results for "Computational Mechanics"

showing 10 items of 155 documents

An interface model for analysis of deformation behaviour of discontinuities

1996

An interface constitutive model is presented accounting for slip and sliding effects and also for dilatancy phenomena. The microslip effects are described by considering spherical asperity interaction with variation of contact area and generation of progressive or reverse slip zones. The incremental constitutive equations are derived with proper memory rules accounting for generation and annihilation of particular slip zones during the process of variable loading. It is further assumed that sliding of spherical contacts occurs along large asperities whose slope varies due to the wear process. The predicted shear and dilatancy curves are shown to provide close quantitative simulation of avai…

DilatantMaterials scienceConstitutive equationComputational MechanicsSlip (materials science)MechanicsClassification of discontinuitiesGeotechnical Engineering and Engineering GeologyPhysics::GeophysicsShear (geology)Mechanics of MaterialsRock mechanicsGeneral Materials ScienceGeotechnical engineeringContact areaAsperity (materials science)
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Damage and plasticity at the interfaces in composite materials and structures

2009

Abstract The structural behavior at the interface between two surfaces of ductile, brittle or quasi-brittle materials is studied by a new analytical elastoplastic damaging model. The model is developed in the framework of a thermodynamically consistent theory. The Helmholtz free energy is written to predict the materials’ hardening or softening. An isotropic damage is considered and the possible effects of dilatancy are taken into account including non-associative flow rules. The interface laws are presented both in a rate and a discrete incremental form. The analytical formulation is then implemented into a finite element code and two structural members are studied to validate the model. T…

DilatantMaterials sciencebusiness.industryMechanical EngineeringIsotropyComputational MechanicsGeneral Physics and AstronomyStructural engineeringPlasticityStrain hardening exponentFinite element methodComputer Science Applicationssymbols.namesakeBrittlenessinterface damage plasticity coupling biphaseMechanics of MaterialsHelmholtz free energyHardening (metallurgy)symbolsSettore ICAR/08 - Scienza Delle CostruzionibusinessComputer Methods in Applied Mechanics and Engineering
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Locally Supported Wavelets on the Sphere

1998

We construct explicitly wavelets on the sphere that provide a locally supported and stable basis for the Sobolev spaces H2,0 ⩽ s < 1. We get at hand at fast wavelet transform with almost optimal complexity. This basis can be easily implemented in numerical schemes. We apply the wavelet transform to singularity detection and data compression. This contribution summarizes the results of [1].

Discrete wavelet transformLifting schemeBasis (linear algebra)Applied MathematicsMathematical analysisComputational MechanicsWavelet transformData_CODINGANDINFORMATIONTHEORYSobolev spaceWaveletApplied mathematicsFast wavelet transformContinuous wavelet transformMathematicsZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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The symmetric boundary element method for unilateral contact problems

2008

Abstract On the basis of the boundary integral equation method, in its symmetric formulation, the frictionless unilateral contact between two elastic bodies has been studied. A boundary discretization by boundary elements leads to an algebraic formulation in the form of a linear complementarity problem. In this paper the process of contact or detachment is obtained through a step by step analysis by using generalized (weighted) quantities as the check elements: the detachment or the contact phenomenon may happen when the weighted traction or the weighted displacement is greater than the weighted cohesion or weighted minimum reference gap, respectively. The applications are performed by usin…

DiscretizationIterative methodMechanical EngineeringTraction (engineering)Mathematical analysisComputational MechanicsGeneral Physics and AstronomyUnilateral contactBoundary (topology)Frictionless contactSymmetric BEMStep by step analysis.Linear complementarity problemDisplacement (vector)Computer Science ApplicationsMacro-elementMechanics of MaterialsSymmetric BEM Frictionless contact Iterative technique Macro-elements Step by step analysis.Iterative techniqueSettore ICAR/08 - Scienza Delle CostruzioniBoundary element methodMathematicsComputer Methods in Applied Mechanics and Engineering
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Line element-less method (LEM) for beam torsion solution (truly no-mesh method)

2008

In this paper a new numerical method for finding approximate solutions of the torsion problem is proposed. The method takes full advantage of the theory of analytic complex function. A new potential function directly in terms of shear stresses is proposed and expanded in the double-ended Laurent series involving harmonic polynomials. A novel element-free weak form procedure, labelled Line Element-Less Method (LEM), has been developed imposing that the square of the net flux across the border is minimum with respect to coefficients expansion. Numerical implementation of the LEM results in systems of linear algebraic equations involving symmetric and positive-definite matrices without resorti…

DiscretizationMechanical EngineeringLaurent seriesLaurent polynomialNumerical analysisComputational MechanicsTorsion (mechanics)GeometryAlgebraic equationLinear algebraApplied mathematicsSettore ICAR/08 - Scienza Delle CostruzioniTorsion Analytic functions Harmonic polynomials shear stress.Analytic functionMathematicsActa Mechanica
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A coupled Finite Volume–Smoothed Particle Hydrodynamics method for incompressible flows

2016

Abstract An hybrid approach is proposed which allows to combine Finite Volume Method (FVM) and Smoothed Particle Hydrodynamics (SPH). The method is based on the partitioning of the computational domain into a portion discretized with a structured grid of hexahedral elements (the FVM-domain ) and a portion filled with Lagrangian particles (the SPH-domain ), separated by an interface made of triangular elements. A smooth transition between the solutions in the FVM and SPH regions is guaranteed by the introduction of a layer of grid cells in the SPH-domain and of a band of virtual particles in the FVM one (both neighboring the interface), on which the hydrodynamic variables are obtained throug…

DiscretizationSPHComputational MechanicsGeneral Physics and AstronomyCoupled FVM–SPH approachBoundary condition01 natural sciences010305 fluids & plasmasSettore ICAR/01 - IdraulicaSmoothed-particle hydrodynamicsPhysics and Astronomy (all)0103 physical sciencesComputational mechanicsMechanics of Material0101 mathematicsMirror particleComputational MechanicPhysicsFinite volume methodMechanical EngineeringMathematical analysisSmoothed Particle HydrodynamicComputer Science Applications1707 Computer Vision and Pattern RecognitionGridComputer Science ApplicationsComputational physics010101 applied mathematicsMechanics of MaterialsCompressibilityReduction (mathematics)Interpolation
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Optimum design for work-hardening adaptation

1977

Abstract The finite element-linear programming approach and the work-hardening adaptation criterion are used to formulate a general theory of optimum design of rigid-work-hardening structures subjected to loads which vary statically within given limits. Self-weight, as well as some technological constraints, can be introduced into the framework of the optimization problem. The optimality conditions are discussed with the aid of geometrical descriptions as well, and a comparison is made with the standard limit design. Numerical applications are given for a plane truss and a plane frame with axial force-bending moment interaction.

EngineeringMathematical optimizationOptimization problemPlane (geometry)business.industryMechanical EngineeringFrame (networking)Computational MechanicsGeneral Physics and AstronomyTrussWork hardeningComputer Science ApplicationsMoment (mathematics)Mechanics of MaterialsLimit (mathematics)businessAdaptation (computer science)Computer Methods in Applied Mechanics and Engineering
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Timber anti-seismic devices in historical architecture in the Mediterranean area

2017

Questo lavoro esamina l’uso di un dispositivo strutturale in legno storico utilizzato come rinforzo della muratura per i sistemi di prevenzione sismica nell'area mediterranea. Tale tecnologia viene realizzata mediante un telaio tridimensionale tridimensionale di legno incorporato nella muratura di pietra per legare insieme le varie parti strutturali e contribuire alla resistenza sismica complessiva. Molto spesso, questo principio costruttivo fu esteso non solo per le parti più deboli, ma per l'intero edificio, creando nuove configurazioni strutturali che erano in grado di assorbire gli effetti delle azioni sismiche. Dalle esperienze costruttive di epoca romana (opus craticium), questo siste…

Engineeringbusiness.industryApplied MathematicsComputational Mechanicsarchitettura storica tecniche costruttive legno muratura presidi costruttivi antisismici intelaiatura ligneaSettore ICAR/10 - Architettura Tecnicaconstruction materials constructive technology historical architecture masonry seismic reinforcement timber frame wood. 1MasonryCivil engineeringComputer Science ApplicationsComputational MathematicsModeling and SimulationMediterranean areaArchitecturebusinessInternational Journal of Computational Methods and Experimental Measurements
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Reliability assessment of granular filters in embankment dams

2006

SUMMARY Empirical criteria have been used successfully to design filters of most embankment large dam projects throughout the world. However, these empirical rules are only applicable to a particular range of soils tested in laboratory and do not take into account the variability of the base material and filter particle sizes. In addition, it is widely accepted that the safety of fill dams is mainly dependent on the reliability of their filter performance. The work herein presented consists in a new general method for assessing the probability of fulfilling any empirical filter design criteria accounting for base and filter heterogeneity by means of first-order reliability methods (FORM), s…

Engineeringbusiness.industryComputational MechanicsSampling (statistics)Geotechnical Engineering and Engineering GeologyReliability engineeringFilter designMechanics of MaterialsFilter (video)Risk analysis (business)Range (statistics)Internal erosionGeneral Materials ScienceSensitivity (control systems)businessReliability (statistics)International Journal for Numerical and Analytical Methods in Geomechanics
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Lay-up optimization for the hull of a racing sailing yacht

2001

Abstract Deformability and buckling load of yacht hulls with fiber reinforced plastic sandwich structure depend on the stack sequence of the skins. In this work an optimization of fiber directions of the laminae for a racing yacht is proposed. This procedure has been divided into three parts (i.e. material characterization, surface model definition, lay-up optimization). First of all a set of unidirectional specimens has been realized, by using the same fibers and matrix (carbon/epoxy) used for the hull as well as the same procedure and workers, in order to characterize the material according to American Society for Testing and Materials (ASTM) Standard D3039, employing strain gage techniqu…

Engineeringbusiness.industryGeneral EngineeringComputational MechanicsStructural engineeringFibre-reinforced plasticFinite element methodSoftware; Computational MechanicsMatrix (mathematics)Stack (abstract data type)BucklingHullComputational mechanicsbusinessStrain gaugeSoftware
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