First steps towards an advanced simulation of composites manufacturing by automated tape placement

Chinesta, Francisco; Leygue, Adrien; Bognet, Brice; Ghnatios, Chady; Poulhaon, Fabien; Bordeu, Felipe; Barasinski, Anaïs; Poitou, Arnaud; Chatel, Sylvain; Maison-Le-Poëc, Serge

doi:10.1007/s12289-012-1112-9

Cited by 100 publications

(73 citation statements)

References 9 publications

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“…The same conclusions apply in the case of thermal models that are formally similar to the ones related to the flow in porous media. We also proved In Bognet et al (2012) that when geometries become complex the standard elastic plate theories fail for calculating the 3D solution, and in Ghnatios et al (2013) the necessity of 3D flow calculation was pointed out.…”

Section: Discussionmentioning

confidence: 86%

“…In the present case it suffices considering the separated representation of the velocity field according to (Ghnatios et al, 2013):…”

Section: Stokes Flow Modelmentioning

confidence: 99%

“…In Ghnatios et al (2013) we proposed the use of the Brinkman model that allows representing in an unified manner both the Darcy and the Stokes behaviors. In order to avoid numerical inaccuracies we use a very fine representation along the thickness direction and for circumventing the exponential increase in the number of degrees of freedom that such a fine representation would imply when extended to the whole laminate domain, we consider again the in-plane-out-of-plane separated representation previously introduced.…”

Section: Brinkmann Modelmentioning

confidence: 99%

“…Thus an in-plane-out-of-plane decomposition was proposed for solving flow problems in laminates (Chinesta, Ammar et al, 2011;Ghnatios et al, 2013), thermal problems in extruded geometries and laminates , elasticity problems in plates (Bognet et al, 2012) and shells geometries . In general the 3D solution was obtained from the solution of a sequence of 2D problems (the ones involving the in-plane coordinates) and 1D problems (the ones involving the coordinate related to the plate thickness).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Models defined in stratified-plate domains. A review on efficient 3D PGD-based solution procedures

Bognet¹,

Ghnatios²,

Lurot³

et al. 2014

Revue des composites et des matériaux avancés

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show abstract

Section: Discussionmentioning

confidence: 86%

“…In the present case it suffices considering the separated representation of the velocity field according to (Ghnatios et al, 2013):…”

Section: Stokes Flow Modelmentioning

confidence: 99%

Section: Brinkmann Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Models defined in stratified-plate domains. A review on efficient 3D PGD-based solution procedures

Bognet¹,

Ghnatios²,

Lurot³

et al. 2014

Revue des composites et des matériaux avancés

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show abstract

“…Thus in plate domains an in-plane-out-of-plane decomposition was proposed for solving flow problems in laminates [20], then for solving thermal problems in extruded geometries [23], elasticity problems [24] and coupled multiphycisc problems [25]. In those cases the 3D solution was obtained from the solution of a sequence of 2D problems (the ones involving the in-plane coordinates) and 1D problems (the ones involving the coordinate related to the plate thickness).…”

Section: Introductionmentioning

confidence: 99%

Separated representations of 3D elastic solutions in shell geometries

Bognet

Leygue

Chinesta

2014

Adv. Model. and Simul. in Eng. Sci.

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Background:The solution of 3D models in degenerated geometries in which some characteristic dimensions are much lower than the other ones -e.g. beams, plates, shells, ...-is a tricky issue when using standard mesh-based discretization techniques.Methods: Separated representations allow decoupling the meshes used for approximating the solution along each coordinate. Thus, in plate or shell geometries 3D solutions can be obtained from a sequence of 2D and 1D problems allowing fine and accurate representation of the solution evolution along the thickness coordinate while keeping the computational complexity characteristic of 2D simulations. In a former work this technique was considered for addressing the 3D solution of thermoelastic problems defined in plate geometries. In this work, the technique is extended for addressing the solution of 3D elastic problems defined in shell geometries. Results:The capabilities of the proposed approach are illustrated by considering some numerical examples involving different degrees of complexity, from simple shells to composite laminates involving stiffeners. Conclusions:The analyzed examples prove the potentiality and efficiency of the proposed strategy, where the computational complexity was found evolving as reported in our former works, proving that 3D solutions can be computed at a 2D cost.

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Model Reduction Methods

Chinesta

Huerta

Rozza

et al. 2017

Encyclopedia of Computational Mechanics Second Edition

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This chapter presents an overview of model order reduction – a new paradigm in the field of simulation‐based engineering sciences, and one that can tackle the challenges and leverage the opportunities of modern ICT technologies. Despite the impressive progress attained by simulation capabilities and techniques, a number of challenging problems remain intractable. These problems are of different nature, but are common to many branches of science and engineering. Among them are those related to high‐dimensional problems, problems involving very different time scales, models defined in degenerate domains with at least one of the characteristic dimensions much smaller than the others, model requiring real‐time simulation, and parametric models. All these problems represent a challenge for standard mesh‐based discretization techniques; yet the ability to solve these problems efficiently would open unexplored routes for real‐time simulation, inverse analysis, uncertainty quantification and propagation, real‐time optimization, and simulation‐based control – critical needs in many branches of science and engineering. Model order reduction offers new simulation alternatives by circumventing, or at least alleviating, otherwise intractable computational challenges. In the present chapter, we revisit three of these model reduction techniques: proper orthogonal decomposition, proper generalized decomposition, and reduced basis methodologies.

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First steps towards an advanced simulation of composites manufacturing by automated tape placement

Cited by 100 publications

References 9 publications

Models defined in stratified-plate domains. A review on efficient 3D PGD-based solution procedures

Models defined in stratified-plate domains. A review on efficient 3D PGD-based solution procedures

Separated representations of 3D elastic solutions in shell geometries

Model Reduction Methods

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