In this paper, a method is developed to control the parameters of finite element computation for time-dependent material models.This allows user obtain prescribed accuracy with computational cost as low possible.To evaluate discretization errors, we use global error measure in constitutive relation based on Drucker's inequality.This includes, over studied time interval, model and algorithm being used.In order master size elements mesh length increments, an estimator, which permits estimating...

Abstract In this article, the optimal location and number of piezoelectric sensors is formulated for active vibration control. A modified criterion used to ensure good observability system by considering minimum needed elements. genetic algorithm proposed solve bi-objective optimization problem. Simulations are presented a thin plate. Keywords: vibrationspiezoelectric sensorsoptimization numbergenetic

Abstract A new methodology for recovering equilibrated stress fields is presented, which based on traction‐free subdomains' computations. It allows a rather simple implementation in standard finite element code compared with the technique tractions. These stresses are used to compute constitutive relation error estimator model 2D linear elasticity. lower bound and an upper discretization derived from relation. bounds build local quantities of interest. Copyright © 2008 John Wiley & Sons, Ltd.

We propose an a posteriori estimator of the error hyper-reduced predictions for elastoviscoplastic problems. For given fixed mesh, this aims to forecast validity domain in parameter space, hyper-reduction approximations. This evaluates if simulation outputs generated by model represent convenient approximation that finite element would have predicted. do not account related upon which is introduced. restrict our attention generalized standard materials. Upon use incremental variational...

SUMMARY The FEM is the main tool used for structural analysis. When design of mechanical system involves uncertain parameters, a coupling with reliability analysis algorithms allows to compute failure probability system. However, this leads successive finite element parametric models involving high computational effort. Over past years, model reduction techniques have been developed in order reduce requirements numerical simulation complex models. objective work propose an efficient...

In this article, the active vibration control of a smart structure made out single functionally graded piezoelectric material layer, equipped with network discrete electrodes, is studied. The properties vary continuously across direction thickness, so that top and bottom surfaces consist pure PZT4 mid surface composed aluminium. percolation phenomenon taken into account. A plate finite element based on first-order shear deformation theory hypothesis layer-wise approximation for electric...

Abstract This paper presents an a posteriori error estimator for mixed‐mode stress intensity factors in plane linear elasticity. A surface integral over arbitrary crown is used the separate calculation of combined mode's factors. The quantity interest based on goal‐oriented measures and estimated through constitutive relation. Copyright © 2006 John Wiley & Sons, Ltd.

Abstract This work presents an extension of the goal‐oriented error estimation techniques to reliability analysis a linear elastic structure. We use first‐order method in conjunction with finite element (FEA) compute failure probability In such situation output interest that is computed from FEA index β. The accuracy this output, and thus analysis, depends, particular, on FEA. paper, upper lower bounds are proposed, as well simple probability. An application fracture mechanics presented....

In this work, the modeling of laminated composite plates with embedded piezoelectric layers is addressed through a variables separation approach. Both displacement and electric potential fields are approximated as sum separated functions in-plane coordinates x, y transverse coordinate z. This choice yields to nonlinear problem that can be solved by an iterative process. That consists solving 2D 1D successively at each iteration. thickness direction, fourth second-order expansion in layer...

ABSTRACT In this paper, we study the temperature field associated with propagation of a fatigue crack in very high cycle regime during ultrasonic testing. We use Paris–Hertzberg growth law to compute evolution and perfectly elastic–plastic constitutive plastic dissipation per at tip crack. A thermomechanical finite element model is proposed estimate propagation. Numerical results obtained agree fairly well experimental results.