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Laurent Gallimard - One of the best experts on this subject based on the ideXlab platform.

  • a Constitutive Relation error estimator based on traction free recovery of the equilibrated stress
    International Journal for Numerical Methods in Engineering, 2009
    Co-Authors: Laurent Gallimard
    Abstract:

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

  • A Constitutive Relation error estimator based on traction‐free recovery of the equilibrated stress
    International Journal for Numerical Methods in Engineering, 2008
    Co-Authors: Laurent Gallimard
    Abstract:

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

G. Sun - One of the best experts on this subject based on the ideXlab platform.

  • Piecewise linear Constitutive Relation for pseudo-elasticity of shape memory alloy (SMA)
    Materials Science and Engineering A-structural Materials Properties Microstructure and Processing, 2004
    Co-Authors: G. Sun, Shuyu Sun
    Abstract:

    Based on Brinson's Constitutive Relation of SMA, a piecewise linear one-dimensional model is proposed for pseudo-elastic behavior of SMA. Calculations for examples of both cyclic static loading on SMA and dynamic response of a spring-SMA-mass system shows that prediction from the piecewise linear model does not differ much from that of Brinson's Constitutive model. The adoption of linear explicit Constitutive Relation makes the calculation insusceptible to step size, inevitably convergent, and timesaving.

  • One-dimensional Constitutive Relation for shape-memory alloy-reinforced composite lamina
    Journal of Materials Science, 1993
    Co-Authors: G. Sun, C. T. Sun
    Abstract:

    Based on the one-dimensional thermo-mechanical Constitutive Relation of a shape-memory alloy (SMA) in which the dependence of the elastic modulus of SMA upon the martensite fraction is considered, a one-dimensional Constitutive Relation for SMA-reinforced composite lamina has been developed. The stress-strain Relation under constant temperature, the free recovery and the restrained recovery under variable temperature, have been analysed for the SMA-reinforced lamina.

Vincent Visseq - One of the best experts on this subject based on the ideXlab platform.

  • Robust goal-oriented error estimation based on the Constitutive Relation error for stochastic problems
    Computers and Structures, 2012
    Co-Authors: Ludovic Chamoin, Eric Florentin, Sylvain Pavot, Vincent Visseq
    Abstract:

    In this paper, we aim at extending to stochastic models a general and robust goal-oriented error estimation method presented in previous works. This method, which is based on the Constitutive Relation error and classical extraction techniques, enables to obtain strict bounds on quantities of interest. In the stochastic framework, several aspects are revisited in the current paper:(i) the construction of admissible elds, which is a pillar of the Constitutive Relation error; (ii) the error bounding itself; (iii) the splitting of error sources that may enable to drive adaptive procedures e ectively. Performances of the proposed approach are illustrated on two-dimensional applications.

  • Constitutive Relation error for stochastic problems
    2012
    Co-Authors: Ludovic Chamoin, Eric Florentin, Sylvain Pavot, Vincent Visseq
    Abstract:

    In this paper, we aim at extending to stochastic models a general and robust goal-oriented error estimation method presented in previous works. This method, which is based on the Constitutive Relation error and classical extraction techniques, enables to obtain strict bounds on quantities of interest. In the stochastic framework, several aspects are revisited in the current paper:(i) the construction of admissible elds, which is a pillar of the Constitutive Relation error; (ii) the error bounding itself; (iii) the splitting of error sources that may enable to drive adaptive procedures eectively. Performances of the proposed approach are illustrated on two-dimensional applications.

C. T. Sun - One of the best experts on this subject based on the ideXlab platform.

Yue Zhai - One of the best experts on this subject based on the ideXlab platform.

  • A viscoelastic Constitutive Relation for the rate-dependent mechanical behavior of rubber-like elastomers based on thermodynamic theory
    Materials & Design, 2019
    Co-Authors: Hui Guo, Yu Chen, Junlin Tao, Bin Jia, Yue Zhai
    Abstract:

    Abstract Because of large deformation and viscoelastic properties of rubber-like elastomers, it is very challenging to establish its rate-dependent Constitutive Relation. Based on the basic theory of thermodynamics, the energy dissipation rate of the materials is derived in this paper. Then, a viscoelastic Constitutive Relation suitable for describing the rate-dependent behavior of rubber-like elastomers is proposed based on the viscoelastic theory and energy dissipation rate. In order to explain the application of Constitutive Relation, the Constitutive equation is simplified according to the deformation characteristics and boundary conditions of rubber-like elastomers under working conditions, and the simplified one- or two-dimensional Constitutive forms are obtained. The existing classical data is fitted and analyzed through the simplified form of the model, and found that the new model has the ability to describe the stress-strain Relationship of the materials under common deformation modes. Meanwhile, through comparative analysis found that the overall prediction accuracy of the new model is better than that of some commonly used models. Finally, the newly proposed Constitutive Relation is used to predict the nonlinear mechanical behavior of three kinds of rubber-like elastomers at different strain rates, and the validity and universality of the Constitutive Relation are verified through comparative analyses.