A meshless multiscale approach to modeling severe plastic deformation of metals: Application to ECAE of pure copper

Kumar, Siddhant; Tutcuoglu, Abbas D.; Hollenweger, Yannick; Kochmann, Dennis M.

doi:10.1016/j.commatsci.2019.109329

Cited by 11 publications

(6 citation statements)

References 59 publications

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“…As is observed (Figure 16), the overall shape of the shockwave that is generated at exact and identical time-steps for the two different methods is in good agreement. Kumar et al [161] developed a meshless multi-scale approach to modeling severe plastic deformation of copper in equal-channel angular extrusion. They used a vertical homogenization approach based on a maximum-entropy meshless formulation on the macroscale.…”

Section: Meshless Methodsmentioning

confidence: 99%

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Multiphysics Modeling and Numerical Simulation in Computer-Aided Manufacturing Processes

Trzepieciński

Dell’Isola

Lemu

2021

Metals

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The concept of Industry 4.0 is defined as a common term for technology and the concept of new digital tools to optimize the manufacturing process. Within this framework of modular smart factories, cyber-physical systems monitor physical processes creating a virtual copy of the physical world and making decentralized decisions. This article presents a review of the literature on virtual methods of computer-aided manufacturing processes. Numerical modeling is used to predict stress and temperature distribution, springback, material flow, and prediction of phase transformations, as well as for determining forming forces and the locations of potential wrinkling and cracking. The scope of the review has been limited to the last ten years, with an emphasis on the current state of knowledge. Intelligent production driven by the concept of Industry 4.0 and the demand for high-quality equipment in the aerospace and automotive industries forces the development of manufacturing techniques to progress towards intelligent manufacturing and ecological production. Multi-scale approaches that tend to move from macro- to micro- parameters become very important in numerical optimization programs. The software requirements for optimizing a fully coupled thermo-mechanical microstructure then increase rapidly. The highly advanced simulation programs based on our knowledge of physical and mechanical phenomena occurring in non-homogeneous materials allow a significant acceleration of the introduction of new products and the optimization of existing processes.

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Section: Meshless Methodsmentioning

confidence: 99%

“…Figure17. Schematic illustration of the vertical scale-bridging approach, a Taylor recrystallization model, and a crystal plasticity model (reproduced with permission from Reference[161]; copyright © 2020 Elsevier).…”

mentioning

confidence: 99%

Multiphysics Modeling and Numerical Simulation in Computer-Aided Manufacturing Processes

Trzepieciński

Dell’Isola

Lemu

2021

Metals

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“…In FLIGA, we employ the material point integration strategy, which is well known from meshless methods, see e.g. Kumar et al [11,34]. This technique attributes to the quadrature points a Lagrangian particle character in the sense of (10).…”

Section: Materials Point Integrationmentioning

confidence: 99%

Floating Isogeometric Analysis

Hille

Kumar

Lorenzis

2022

Computer Methods in Applied Mechanics and Engineering

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“…In FLIGA, we employ the material point integration strategy, which is well known from meshless methods, see, e.g. Kumar et al (2019Kumar et al ( , 2020a. This technique attributes to the quadrature points a Lagrangian particle character in the sense of (10).…”

Section: Materials Point Integrationmentioning

confidence: 99%

Floating Isogeometric Analysis

Hille,

Kumar,

De Lorenzis

2021

Preprint

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We propose Floating Isogeometric Analysis (FLIGA), which extends the concepts of IGA to Lagrangian extreme deformation analysis. The method is based on a novel tensor-product construction of B-Splines for the update of the basis functions in one direction of the parametric space. With basis functions "floating" deformation-dependently in this direction, mesh distortion is overcome for problems in which extreme deformations occur predominantly along the associated (possibly curved) physical axis. In doing so, we preserve the numerical advantages of splines over many meshless basis functions, while avoiding remeshing. We employ material point integration for numerical quadrature attributing a Lagrangian character to our technique. The paper introduces the method and reviews the fundamental properties of the FLIGA basis functions, including a numerical patch test. The performance of FLIGA is then numerically investigated on the benchmark of Newtonian and viscoelastic Taylor-Couette flow. Finally, we simulate a viscoelastic extrusion-based additive manufacturing process, which served as the original motivation for the new approach.

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A meshless multiscale approach to modeling severe plastic deformation of metals: Application to ECAE of pure copper

Cited by 11 publications

References 59 publications

Multiphysics Modeling and Numerical Simulation in Computer-Aided Manufacturing Processes

Multiphysics Modeling and Numerical Simulation in Computer-Aided Manufacturing Processes

Floating Isogeometric Analysis

Floating Isogeometric Analysis

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