MUESLI - a Material UnivErSal LIbrary

Portillo, David; Pozo, Daniel del; Rodríguez-Galán, Daniel; Segurado, J.; Romero, Ignacio

doi:10.1016/j.advengsoft.2017.01.007

Cited by 11 publications

(13 citation statements)

References 2 publications

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“…Hence, descent methods, such as the nonlinear conjugate gradient, can be used to solve the reduced constitutive model in an effective way, without the need for computing the Hessian, and with guaranteed convergence if W n is convex. Both approaches for the solution of the reduced constitutive law, namely the Newton-Raphson and the descent methods, are available, for a large number of common material laws, in the open-source library MUESLI [9].…”

Section: Solution Of the Reduced Constitutive Equationsmentioning

confidence: 99%

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Structural models based on 3D constitutive laws: Variational structure and numerical solution

Portillo

Oesterle

Thierer

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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In all structural models, the section or fiber response is a relation between the strain measures and the stress resultants. This relation can only be expressed in a simple analytical form when the material response is linear elastic. For other, more complex and interesting situations, kinematic and kinetic hypotheses need to be invoked, and a constrained threedimensional constitutive relation has to be employed at every point of the section in order to implement non-linear and dissipative constitutive laws into dimensionally reduced structural models. In this article we explain in which sense reduced constitutive models can be expressed as minimization problems, helping to formulate the global equilibrium as a single optimization problem. Casting the problem this way has implications from the mathematical and numerical points of view, naturally defining error indicators. General purpose solution algorithms for constrained material response, with and without optimization character, are discussed and provided in an open-source library. arXiv:1907.11089v1 [physics.class-ph]

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Section: Solution Of the Reduced Constitutive Equationsmentioning

confidence: 99%

“…As will be detailed in Section 4, we classify two types of methods that can be employed to solve numerically the constrained or reduced constitutive model. The material open-source library MUESLI [9] implements both, and readers can access it to verify the details of the numerical implementation.…”

Section: Introductionmentioning

confidence: 99%

Structural models based on 3D constitutive laws: Variational structure and numerical solution

Portillo

Oesterle

Thierer

et al. 2020

Computer Methods in Applied Mechanics and Engineering

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“…To simulate the impacts we employed a finite element model consisting of 1680 isoparametric hexahedra, meshing one quarter of the rod. Johnson‐Cook's model is implemented in the open source library MUESLI …”

Section: Applicationsmentioning

confidence: 99%

“…The tests are performed under isothermal conditions and T = 300 K. The initial diameter and length of the cylinders are, respectively, 7.62 and 25.4 mm.To simulate the impacts we employed a finite element model consisting of 1680 isoparametric hexahedra, meshing one quarter of the rod. Johnson-Cook's model is implemented in the open source library MUESLI 46.…”

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confidence: 99%

Anisotropic meta‐models for computationally expensive simulations in nonlinear mechanics

Menga

Sánchez

Romero

2019

Numerical Meth Engineering

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Summary Nonintrusive methods are now established in the engineering community as a pragmatic approach for the uncertainty quantification (UQ) and global sensitivity analysis (GSA) of complex models. However, especially for computationally expensive models, both types of analyses can only be completed by employing surrogates that replace the original models and are considerably less expensive. This work studies the construction of accurate and predictive meta‐models for their use in both UQ and GSA, and their application to complex problems in nonlinear mechanics. In particular, meta‐models based on radial functions are examined and enhanced with anisotropic metrics for improved predictiveness and cost effectiveness. Three numerical examples illustrate the performance of the proposed methodology.

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“…These are fairly complex constitutive relations that depend on a relatively large number of material parameters that need to be adjusted for each specific material and test range. The actual implementations of the three can be found in the publicly available material library MUESLI [ 20 ], and we have used them together with standard explicit finite element calculations.…”

Section: Introductionmentioning

confidence: 99%

A Methodology for the Statistical Calibration of Complex Constitutive Material Models: Application to Temperature-Dependent Elasto-Visco-Plastic Materials

2020

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The calibration of any sophisticated model, and in particular a constitutive relation, is a complex problem that has a direct impact in the cost of generating experimental data and the accuracy of its prediction capacity. In this work, we address this common situation using a two-stage procedure. In order to evaluate the sensitivity of the model to its parameters, the first step in our approach consists of formulating a meta-model and employing it to identify the most relevant parameters. In the second step, a Bayesian calibration is performed on the most influential parameters of the model in order to obtain an optimal mean value and its associated uncertainty. We claim that this strategy is very efficient for a wide range of applications and can guide the design of experiments, thus reducing test campaigns and computational costs. Moreover, the use of Gaussian processes together with Bayesian calibration effectively combines the information coming from experiments and numerical simulations. The framework described is applied to the calibration of three widely employed material constitutive relations for metals under high strain rates and temperatures, namely, the Johnson–Cook, Zerilli–Armstrong, and Arrhenius models.

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MUESLI - a Material UnivErSal LIbrary

Cited by 11 publications

References 2 publications

Structural models based on 3D constitutive laws: Variational structure and numerical solution

Structural models based on 3D constitutive laws: Variational structure and numerical solution

Anisotropic meta‐models for computationally expensive simulations in nonlinear mechanics

A Methodology for the Statistical Calibration of Complex Constitutive Material Models: Application to Temperature-Dependent Elasto-Visco-Plastic Materials

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