Unified 2D continuous and reduced order modeling of thermomechanically coupled laminated plate for nonlinear vibrations

Saetta, Eduardo; Rega, Giuseppe

doi:10.1007/s11012-014-9929-6

Cited by 23 publications

(35 citation statements)

References 21 publications

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“…Solving a 3D thermal problem on thin shell geometry can be performed in several ways. It is natural to decompose the 3D temperature field into an out-of-plane shape function and an in-plane temperature as suggested by Saetta and Rega [5]. With this decomposition, the fine through thickness description depends on the type of shape functions chosen.…”

Section: Methods: Thermal Shell Reduced Additive Modelmentioning

confidence: 99%

Integration of heat transfer effects in simulation of composite stamping

Hoang¹,

Lévy²,

Core³

2016

AIP Conference Proceedings

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A numerical method for the simulation of heat transfer occurring in thermoplastic composites thermostamping process is proposed. A reduced thermal model, named additive decomposition, is developed. It is based on the operator splitting method under thin shell assumption. A resolution algorithm using this decomposition is proposed, and developed in MATLAB. The approach is validated by comparing solutions obtained with a full 3D resolution and the presented method. Using this method, the computational time is proved to be about over 30 times faster. Eventually, prediction of temperature field is a prerequisite for the prediction of other phenomena, such as crystallization kinetics. Finally, the proposed method is implemented in the simulation software for thermostamping process Plasfib.

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Section: Methods: Thermal Shell Reduced Additive Modelmentioning

confidence: 99%

Integration of heat transfer effects in simulation of composite stamping

Hoang¹,

Lévy²,

Core³

2016

AIP Conference Proceedings

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“…In the field of simulation-based science and engineering, challenges are posed by the simulation of complex systems, for example, the curse of dimensionality [1], the parametric modeling [2], the treatment of time-multiscale models [3], the presence of thermomechanical coupled problems [4], and the treatment of uncertainties [5]. The fundamental issue, common to all the aforementioned texts, is the growing interest in setting both models and numerical methods, which enable low discrepancies between validated/calibrated models and the actual system as well as its accurate prediction [6].…”

Section: Background and Motivationmentioning

confidence: 99%

Nonlinear heterogeneous dynamic substructuring and partitioned FETI time integration for the development of low‐discrepancy simulation models

Bursi

Abbiati

Cazzador

et al. 2017

Numerical Meth Engineering

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This article presents a novel approach to model validation and to the calibration of complex structural systems, through the adoption of heterogeneous (numerical/physical) simulation based on dynamic substructuring (HDS). HDS isolates the physical sub-system (PS) that contains the key region of nonlinear behavior of interest and is tested experimentally, separate from the remainder of the system, that is, the numerical subsystem (NS), which is numerically simulated. A parallel partitioned time integrator based on the finite element tearing and interconnecting method plays a central role in solving the coupled system response, enabling a rigorous and stable synchronization between sub-systems and a realistic interaction between PS and numerical sub-system response. This feature enhances the quality of benchmarks for validation and calibration of low-discrepancy models through virtual structural testing. As a proof of concept, we select an old reinforced concrete viaduct, subjected to seismic loading. Several HDS were conducted at the European Laboratory for Structural Assessment in Ispra (Italy) considering two physical piers and related concave sliding bearings as PSs of the heterogeneous system. As a result, the benefit of employing HDS to set benchmarks for model validation and calibration is highlighted, by developing low-discrepancy FE models of critical viaduct components.In order to reduce model discrepancies, more and more often models try to take into account as many of the interacting physical systems as possible and attempt to describe them on scales that can be very refined. As a result, several very different scales -multiscale -need to be identified in which different physics -multiphysics -must be coupled. Along this line, one can observe a growing interest in virtual testing. Its goal is not to replace experimental tests altogether, but to reduce the number of degrees of freedom associated with the physical system by means of the use of appropriate and accurate models. See, among others, Ostergaard et al. [10] for the prediction of an aircraft structural strength or Caignot et al. [11] for the conception of a virtual testing strategy, in order to predict damping of bolted joints employed in the Ariane 5 launcher. However, given the complexity of these problems, difficulties still persist in relation to the solution of both nonlinear models and stochastic problems requiring multiscale and multiphysics methods. In this context, the dynamic substructure coupling method can be very powerful, because it can localize system nonlinearities and allow identification and update of damaged components/sub-systems; thus, when the properties of one or more sub-systems are altered, the modified sub-systems alone need to be re-analyzed while the other substructures remain unaffected and no further analysis is needed [12].Owing to the capabilities of dynamic substructure coupling, heterogeneous (numerical/physical) simulation based on dynamic substructuring (HDS) represents a form of online simulation, which has b...

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“…By applying this procedure to the 2D thermomechanical laminated plate, we obtain the unified modeling scheme in Fig. 1 [6], which integrates mechanical and thermal aspects by addressing them in parallel via the introduction of generalized 2D variables and equations also for the latter. The unified scheme allows to construct and compare different continuous nonlinear models with full thermoelastic coupling, which result from different assumptions about the plate mechanical and thermal configurations.…”

Section: Two-dimensional Modelingmentioning

confidence: 99%

“…In order to describe some basic phenomena of the dynamics, an effective minimal dimension reduction of the continuous models can be pursued via a Galerkin procedure [6]. In the case of TTC model, the seven 2D configuration variables 1 2 0 1 , , , , , , u v w T T (Fig.…”

Section: Zero-dimensional Modelingmentioning

confidence: 99%

“…In addition to these mechanical features, it is often important to evaluate the effects of thermal phenomena [3][4][5][6], by properly selecting some relevant simplifying assumptions (with/without thermomechanical coupling, ratio between current and reference temperatures, order of the temperature distribution, etc.). This results in a large number of possible continuous models that can be effectively constructed and compared through a unified formulation.…”

Section: Introductionmentioning

confidence: 99%

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Modeling, Dimension Reduction, and Nonlinear Vibrations of Thermomechanically Coupled Laminated Plates

Saetta

Rega

2016

Procedia Engineering

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A unified formulation of thermomechanical, geometrically nonlinear, laminated plates that integrates mechanical and thermal aspects is presented. It allows for constructing and comparing a variety of continuous models of different mechanical richness and with full thermoelastic coupling embedded, as well as for deriving minimal reduced order models suitable to provide useful information on fundamental thermomechanical phenomena occurring in the system nonlinear and complex dynamics. Comparative numerical investigations of free and forced vibrations can be carried out through both models of three, fully coupled, ordinary differential equations and simplified, partially coupled, models of two, or even one, ODEs, with the aim to unveil the actual importance of accounting for the various terms to reliably describe the most important thermomechanical effects on the system response.

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Unified 2D continuous and reduced order modeling of thermomechanically coupled laminated plate for nonlinear vibrations

Cited by 23 publications

References 21 publications

Integration of heat transfer effects in simulation of composite stamping

Integration of heat transfer effects in simulation of composite stamping

Nonlinear heterogeneous dynamic substructuring and partitioned FETI time integration for the development of low‐discrepancy simulation models

Modeling, Dimension Reduction, and Nonlinear Vibrations of Thermomechanically Coupled Laminated Plates

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