Search results for " multidomain"

showing 10 items of 13 documents

Active repair technology applied to delaminated composite structures

2009

The main target of the present paper is represented by the fracture mechanics charac-terization of delaminated composite structures actively repaired through piezoelectric patches. A boundary element code, formulated for anisotropic piezoelectric solids, including, as limiting case, the applicability to linear elastic anisotropic materials has been then imple-mented. The modeling of the delaminated composite structures as well as of the assembled structures, made of the damaged components and the patches, has been achieved through the multidomain technique. Moreover, to take into account for the adhesive layer between the host structures and the piezoelectric patches, a "spring-model" has b…

Active Repair Technology Piezoelectric Patch Boundary Element Method Multidomain Technique Spring ModelSettore ICAR/04 - Strade Ferrovie Ed Aeroporti
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Elastoplastic analysis by the multidomain Symmetric Boundary Element Method

2009

Elastoplasticity Symmetric Boundary Element Method Multidomain Approach Singular Domain IntegralSettore ICAR/08 - Scienza Delle Costruzioni
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Computational aspects in 2D SBEM analysis with domain inelastic actions

2009

The Symmetric Boundary Element Method, applied to structures subjected to temperature and inelastic actions, shows singular domain integrals. In the present paper the strong singularity involved in the domain integrals of the stresses and tractions is removed, and by means of a limiting operation, this traction is evaluated on the boundary. First the weakly singular domain integral in the Somigliana Identity (S.I.) of the displacements is regularized and the singular integral is transformed into a boundary one using the Radial Integration Method; subsequently, using the differential operator applied to the displacement field, the S.I. of the tractions inside the body is obtained and through…

Numerical AnalysisApplied MathematicsMathematical analysisGeneral EngineeringSingular integralSingular boundary methodelastoplasticity symmetric BEM multidomain approach singular domain integral return mapping algorithmSingularityDisplacement fieldCauchy principal valueGalerkin methodSettore ICAR/08 - Scienza Delle CostruzioniBoundary element methodCauchy's integral formulaMathematics
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Active macro-zones algorithm via multidomain SBEM for strain-hardening elastoplastic analysis

2010

In this paper a strategy to perform strain-hardening elastoplastic analysis by using the Symmetric Boundary Element Method (SBEM) for multi-domain type problems is shown. The procedure has been developed inside Karnak.sGbem code by introducing an additional module.

SBEM Multidomain Strain-Hardening Elastoplasticity Active macro-zones Return mapping
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Elastoplastic analysis for active macro-zones via multidomain symmetric Galerkin BEM

2010

In this paper a strategy to perform elastoplastic analysis by using the Symmetric Boundary Element Method (SBEM) for multidomain type problems is shown. This formulation uses a self-stresses equation to evaluate the trial stress in the predictor phase, and to provide the elastoplastic solution in the corrector one. Since the solution is obtained through a return mapping involving simultaneously all the plastically active bem-elements, the proposed strategy does not depend on the path of the plastic strain process and it is characterized by computational advantages due the considerable decrease of the plastic iterations number. This procedure has been developed inside Karnak.sGbem code [1] b…

SBEM multidomain elastoplasticity active macro-zones return mapping algorithm
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SBEM multidomain analysis of plate bending and stretching problems

2010

SBEM plate multidomainSettore ICAR/08 - Scienza Delle Costruzioni
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A combined approach of SGBEM and conic quadratic optimization for limit analysis

2011

The static approach to evaluate the limit multiplier directly was rephrased using the Symmetric Galerkin Boundary Element Method (SGBEM) for multidomain type problems [1,2]. The present formulation couples SGBEM multidomain procedure with nonlinear optimization techniques, making use of the self-equilibrium stress equation [3-5]. This equation connects the stresses at the Gauss points of each substructure (bem-e) to plastic strains through a self-stress matrix computed in all the bem-elements of the discretized system. The analysis was performed by means of a conic quadratic optimization problem, in terms of discrete variables, and implemented using Karnak.sGbem code [6] coupled with MathLa…

SGBEM multidomain lower bound limit analysis nonlinear programming
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Internal spring distribution for quasi brittle fracture via Symmetric Boundary Element Method

2009

Abstract In this paper the symmetric boundary element formulation is applied to the fracture mechanics problems for quasi brittle materials . The basic aim of the present work is the development and implementation of two discrete cohesive zone models using Symmetric Galerkin multi-zone Boundary Elements Method . The non-linearity at the process zone of the crack will be simulated through a discrete distribution of nodal springs whose generalized (or weighted) stiffnesses are obtainable by the cohesive forces and relative displacements modelling. This goal is reached coherently with the constitutive relation σ − Δ u that describes the interaction between mechanical and kinematical quantities…

SGBEM spring distribution multidomain closed form coefficientsMechanical EngineeringMathematical analysisGeneral Physics and AstronomyGeometryFracture mechanicsSingular boundary methodBoundary knot methodFinite element methodMechanics of MaterialsComputational mechanicsGeneral Materials ScienceBoundary value problemGalerkin methodSettore ICAR/08 - Scienza Delle CostruzioniBoundary element methodMathematics
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How to use the SBEM in the practical engineering?

2012

Settore ICAR/08 - Scienza Delle CostruzioniSBEM multidomain substructuring
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A multidomain approach of the SBEM in the plate bending analysis

2009

The aim of this paper is to apply the multidomain approach of the SBEM to the plate bending analysis. The plate is subdivided into macro-elements connected each other along the interface boundary. Every macro-element is defined by an elastic relation which connects the generalized shear force and moments at the interface to the nodal displacements and rotations of the same boundary and to the loads. This approach allows a considerable reduction of the variables through a condensation process which leaves the interface kinematical unknowns, only. The assembly process may be obtained through the regularity conditions prescribed at the interface.

Symmetric Boundary Element MethodPlateplates Symmetric Boundary Element Method multidomain approachSettore ICAR/08 - Scienza Delle Costruzionimultidomain approach.
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