Abstract

Digital Twins, which tend to intervene over the entire life cycle of products from early design phase to predictive maintenance through optimization processes, are increasingly emerging as an essential component in the future of industries. To reduce the computational time reduced-order modeling (ROM) methods can be useful. However, the spread of ROM methods at an industrial level is currently hampered by the difficulty of introducing them into commercial finite element software, due to the strong intrusiveness of the associated algorithms, preventing from getting robust and reliable tools all integrated in a certified product. This work tries to circumvent this issue by introducing a weakly-invasive reformulation of the LATIN-PGD method which is intended to be directly embedded into Simcenter Samcef^{hbox {TM}} finite element software. The originality of this approach lies in the remarkably general way of doing, allowing PGD method to deal with not only a particular application but with all facilities already included in such softwares—any non-linearities, any element types, any boundary conditions...—and thus providing a new high-performance all-inclusive non-linear solver.

Highlights

  • The digitization of the manufacturing industry is a topic of global interest known as “Industry 4.0”

  • We develop a weakly-invasive version of the LATIN-Proper Generalized Decomposition (PGD) method, which differs from the one most commonly used in recent years based on the internal variables description of materials [13,15,20]

  • Some industrial illustrations In the following, two industrial test-cases are presented. They both highlight, on the one hand, the possibilities of the LATIN-PGD method incorporating within Simcenter SamcefTM finite element software to build efficiently reduced-order basis and, on the other hand, the gain in computation time compared to classical approach

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Summary

Introduction

The digitization of the manufacturing industry is a topic of global interest known as “Industry 4.0”. Another point lies in the management of time-dependent non-linear problems with ROM methods. This work proposes a strategy to use the Proper Generalized Decomposition (PGD) method [19] directly within an industrial software capable of handling any time-dependent non-linear problem in solid mechanics.

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