84 research outputs found

    Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. Part II: Computational issues

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    The implementation of the projected algorithm and of the consistent tangent tensor for general isotropic three-invariant elastoplastic models under plane stress conditions discussed in Part I of this paper [Valoroso, N., Rosati, L., 2008. Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. Part I: Theoretical formulation. International Journal of Solids and Structures, doi: 10.1016/j.ijsolstr.2008.08.012.] is addressed. The connections between the general three-dimensional case and the plane stress problem are analyzed in detail and an algorithmic treatment taking full advantage of the isotropic properties of the model is presented. In particular, intrinsic (matrix-free) expressions are provided for all steps of the stress computation scheme that allow one to carry out the numerical implementation in a way that is completely independent from the matrix representations. The numerical performances of the present solution scheme are evaluated through representative numerical examples

    Graded damage solutions in one dimension

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    A regularized damage model is considered named "Graded damage" in which the gradient enhancement has the form of an explicit bound for the spatial gradient of damage. The key features of the proposed approach are demonstrated by computing the analytical solution of two problems that are one-parameter dependent. The first one is the classical one-dimensional damageable rod under tensile load, for which the hardening function is determined based on the equivalence with a given cohesive relationship. The second application is a mode-I delamination problem for which the cohesive law for the interface is formulated starting from the graded damage concept, i.e. by prescribing the shape of damage distribution within the cohesive process zone

    Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. Part I: Theoretical formulation

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    A derivation of the projected algorithm for general isotropic three-invariant plasticity models under plane stress conditions is presented. It is obtained by consistently specializing the 3D formulation to the 2D subspace defined by the plane stress condition. Closed-form intrinsic algorithm linearization and a novel expression of the consistent tangent tensor are provided; these are also shown to directly emanate from the analogous quantities pertaining to the fully 3D case. A detailed discussion of the proposed implementation along with a representative set of numerical examples is provided in the second part of this paper [Valoroso, N., Rosati, L., 2008. Consistent derivation of the constitutive algorithm for plane stress isotropic plasticity. Part II: Computational issues. International Journal of Solids and Structures, 46, 92–124.

    Assemblaggi strutturali mediante incollaggio. Modellazione ed analisi del comportamento di interfaccia

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    Negli ultimi due decenni la richiesta di strutture sempre più efficienti e a ridotto impatto ambientale ha promosso significativamente l’impiego dei compositi nell’Ingegneria Civile. Le diverse realizzazioni consentono di trarre utili indicazioni sugli aspetti da sviluppare al fine di un loro efficace utilizzo, primi tra i quali emergono la necessità di implementare una raffinata modellazione meccanica ed adeguati criteri di progettazione strutturale, obiettivi raggiungibili solo a patto di garantire la necessaria continuità tra la ricerca di base ed applicata, lo sviluppo di metodologie di calcolo e criteri progettuali e l’elaborazione di raccomandazioni tecniche e codici normativi dedicat

    Theoretical Aspects and Computational Issues in Plasticity and Viscoplasticity

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    In the present dissertation small deformation problems for elastoviscoplastic materials are addressed, with special emphasis on the computational aspects. Accordingly, in the presentation of the constitutive theories which will be dealt with throughout this work, the discussion will be con ned to the mathematical aspects of the theory which are relevant to the numerical solution of the nonlinear boundary value problem arising in elasto- and elasto/visco- plasticity and to the analysis of the related computational strategies

    A regularized interface model for simulating the response of adhesive joints

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    A regularized interface damage model is presented grounded on the cohesive-zone concept. This is obtained using a gradient-based formulation, which is equivalent to the introduction of the laplacian of a scalar damage field into the threshold function of the corresponding local model. Unlike the classical cohesive-zone formulations, damage is driven by a non-local energy release rate and the size of the process zone is controlled by an independent model parameter. The capabilities of the proposed approach are shown via a mode-I fracture problem for an adhesive joint. Numerical results illustrate the effects of the gradient dependence against the usual cohesive zone implementation

    Giunti e connessioni adesive. Una sfida per la moderna industria della costruzione

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    I significativi progressi maturati nella sintesi e nello sviluppo di adesivi strutturali lasciano intravedere l’enorme potenziale dei giunti adesivi nelle applicazioni ingegneristiche, soprattutto per la realizzazione di efficaci connessioni tra elementi strutturali in materiali dissimil

    Limit state analysis of RC structures

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    The inelastic static pushover analysis has become a popular tool for evaluating the seismic capacity of structures. It is able of predicting the seismic force and deformation demands by accounting in an approximate manner for the inelastic redistribution of internal forces. Though approximate in nature and based on static loading, if properly used the pushover analysis can provide many significant insights into the structural behaviour and also put forward the design weaknesses that may be hidden in the elastic analysis. The main features of the conventional pushover analysis are well described in [1], where are also emphasized limitations and possible causes that may produce loss of accuracy of the method. A basic prerequisite for successful applications of the method is an adequate knowledge of the inelastic behaviour of structural elements. This is particularly true for those structures containing shear walls that, if not properly described, may render the results of the analysis completely meaningless. In this work we show how, under appropriate hypotheses, one can introduce steel reinforcement into shear walls by appealing to a semi-analytical multi-scale approach. In particular, reinforcements are taken into account using an embedded beam approach, the usual conventional material behaviour, i.e. the the so-called parabolic-rectangular stress block for concrete and ideal elastic-plastic for steel as of Eurocode 2, and a fiber-free integration, that provides the exact solution for stress resultants over the cross section of the beam itself. Representative numerical simulations are shown that illustrate the capabilities of the proposed approach, that allows one to carry out accurate nonlinear analyses of full-scale reinforced concrete structures with relatively reduced computational effort

    Characterization of a cohesive-zone model describing damage and de-cohesion at bonded interfaces. Sensitivity analysis and mode-I parameter identification

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    The identification of mode-I parameters of a cohesive-zone model for the analysis of adhesive joints is presented. It is based on an experimental–numerical methodology whereby the optimal parameters are obtained as the solution of a nonlinear programming problem. The data set for inverse analysis is provided either by local kinematic data, by global static data, or a combination of the two. Parameter sensitivities are computed via direct differentiation and identification exercises are discussed that show the effectiveness of the procedure and its stability with respect to noise and time–space sampling
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