Ultrasonic Welding of Thermoplastic Composites: Modeling of the Process Using Time Homogenization

Lévy, Arthur; Corre, Steven Le; Poitou, Arnaud; Soccard, Eric

doi:10.1615/intjmultcompeng.v9.i1.50

Cited by 22 publications

(32 citation statements)

References 19 publications

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“…Processes can also induce different time scales. Thus, for example when one considers processes like ultrasonic welding [31] the scale related to the load evolution is of some microseconds, whereas the characteristic time related to the welding process itself is of some seconds. When these scales are well separated (turbulence is a nice couner-example!)…”

Section: -Towards Real Time Simulationsmentioning

confidence: 99%

Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models

Chinesta

Ammar

Cueto

2010

Arch Computat Methods Eng

334

310

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International audienceThis paper revisits a powerful discretization technique, the Proper Generalized Decomposition-PGD, illustrating its ability for solving highly multidimensional models. This technique operates by constructing a separated representation of the solution, such that the solution complexity scales linearly with the dimension of the space in which the model is defined, instead the exponentially-growing complexity characteristic of mesh based discretization strategies. The PGD makes possible the efficient solution of models defined in multidimensional spaces, as the ones encountered in quantum chemistry, kinetic theory description of complex fluids, genetics (chemical master equation), financial mathematics, aEuro broken vertical bar but also those, classically defined in the standard space and time, to which we can add new extra-coordinates (parametric models, aEuro broken vertical bar) opening numerous possibilities (optimization, inverse identification, real time simulations, aEuro broken vertical bar)

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Section: -Towards Real Time Simulationsmentioning

confidence: 99%

Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models

Chinesta

Ammar

Cueto

2010

Arch Computat Methods Eng

334

310

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“…The mechanisms governing the heating of the material during the ultrasonic welding are studied in detail by several researchers [11][12][13]19,22]. It may be summed up by two major heat generation mechanisms.…”

Section: Modelling Of the Heat Sourcesmentioning

confidence: 99%

“…If solved using these methods, then the model would require a very large number of sub-steps to cover the entire weld duration. This problem has been solved by Levy et al [11][12][13] through the implementation of the time-homogenisation method. The space-time homogenisation has been implemented by Boutin et al [14] to study the heat generation by mechanical work in structures subjected to a cyclic loading for long durations of time, such as in fatigue testing.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Analysis of the Temporal and Spatial Temperature Development during the Ultrasonic Spot Welding of Fibre-Reinforced Thermoplastics

Tutunjian

Dannemann

Modler

et al. 2020

JMMP

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The ultrasonic spot welding of fibre-reinforced thermoplastic laminates has received great interest from researchers, mainly in the fields of aerospace and automotive industries. It offers an efficient solution to join large thermoplastic composite parts through the spot welding approach with a high level of automation. In this paper, the temporal and spatial development of the temperature in an ultrasonic weld spot between two fibre-reinforced thermoplastic laminates was modelled. During the ultrasonic welding of thermoplastic composite laminates without energy directors a sudden temperature jump in the weld spot is usually observed. The temperature increase occurs rapidly up to the decomposition of the thermoplastic matrix and causes the degradation of the weld spot. To understand the temperature distribution within the weld spot and to calculate its temporal development, the thermal problem was analysed using a two-dimensional explicit finite difference method. To evaluate the models, the calculated time traces of the temperature in the weld spot were compared with the experimentally obtained values under comparable conditions.

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“…[7], the ultrasonic welding of composites in Ref. [8], the ultrasonic imaging of tissues in Ref. [9], the cyclic loading of normally consolidated clay in Ref.…”

Section: Cases Of Studymentioning

confidence: 99%

Parameter identification of two-time-scale nonlinear transient models

Puel

Aubry

2015

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

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Ultrasonic Welding of Thermoplastic Composites: Modeling of the Process Using Time Homogenization

Cited by 22 publications

References 19 publications

Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models

Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models

A Numerical Analysis of the Temporal and Spatial Temperature Development during the Ultrasonic Spot Welding of Fibre-Reinforced Thermoplastics

Parameter identification of two-time-scale nonlinear transient models

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