1,721,023 research outputs found

    Equilibrium Based Iterative Solutions for the Nonlinear Beam Problem

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    The paper describes a procedure for the non-linear analysis of structures which are an assemblage of beams with material non-linearities of general type; the approach uses the equilibrium integrals and a consistent iterative formulation at the element level, within the general framework of the displacement method for the solution of the global structural problem. The application of dierent approaches to the non-linear beam problem is presented and discussed including the traditional stiness and exibility approach and some mixed formulations. The proposed equilibrium-based approach is shown to be more accurate and more robust than the traditional compatibility-based approach, on which most of the non-linear beam elements available today are based. Similar advantages are also found with respect to an approach based on the three-eld mixed assumed strain method

    A regularized force-based beam element with a damage-plastic section constitutive law

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    A new beam finite element is presented, with a generalized section constitutive law based on damage mechanics and plasticity, to analyse the cyclic structural response of plane frames. Both displacement-based and force-based (FB) approaches are used and compared, to demonstrate the significant advantages of the FB formulation in the presence of material non-linearity. In order to overcome the analytical problems and the pathological mesh dependency of the numerical response in the presence of strain-softening post-peak behaviour, a classical non-local regularization procedure is adopted first, based on the integral definition of the associated variable governing the damaging evolution process. Subsequently, for the FB element a new simple regularization technique is proposed based on a selected integration procedure along the element length, which predefines the location of the Gauss points in the beam region, where the localization phenomena take place. As for the other computational aspects, an iterative element state determination is adopted for the FB formulation and a local predictor–corrector algorithm is used to solve the incremental evolution problems of the damage and plastic internal variables. Finally, some examples are shown on simple beams and frames, subjected to monotonically increasing and cyclic loading conditions. Copyright © 2006 John Wiley & Sons, Ltd

    A REGULARIZED BEAM FINITE ELEMENT BASED ON A DAMAGE-PLASTIC MODEL FOR THE ANALYSIS OF R-C FRAMES

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    In this paper a new beam finite element is presented, for the analysis of the cyclic response of reinforced concrete frames under static and dynamical loadings. A generalized section constitutive law is proposed, based on a damage-plastic model, describing the damaging process of the brittle cementitious matrix and the ductile behavior of the reinforcements. The beam element is formulated via a force-based approach, so that the equilibrium along the element is always satisfied. Furthermore, a simple regularization technique is proposed to overcome the localization problems connected with the softening constitutive behavior, and in order to obtain objective numerical results. A numerical solution algorithm, based on an iterative element state determination and a predictor-corrector procedure at the section level, is developed and some numerical applications are presented

    A regularized force-based beam element with a plastic-damage section model

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    law, to analyze the cyclic structural response of plane frames. Both displacement-based and forcebased approaches are used and compared, to demonstrate the significant advantages of the force-based formulation in the presence of material non-linearity. In order to overcome the pathological mesh dependent behaviour due to strain-softening, a classical non-local regularization procedure is adopted first, based on the integral definition of the associated variable governing the damaging process. Subsequently, for the force-based element, a new simple regularization technique is proposed based on a selected integration procedure along the element length, which predefines the location of the Gauss points in the beam region where the localization phenomena take place. As for the other computational aspects, an iterative element state determination is adopted for the force-based formulation and a local predictor-corrector algorithm is used to solve the incremental evolution problems of the plasticity and damage internal variables. Finally, some examples are shown on simple beams and frames, subjected to monotonic and cyclic loading conditions
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