Meshless methods for the simulation of material forming

Chinesta, Francisco

doi:10.1007/s12289-013-1142-y

Cited by 26 publications

(16 citation statements)

References 106 publications

(141 reference statements)

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“…We refer to [41][42][43] where the RKPM is applied together with elastoplastic material models and to [44][45][46][47] where the NEM is employed and a viscoplastic behaviour of the material is assumed. A detailed analysis on the application of meshless methods to metal forming is provided in [48].…”

Section: Introductionmentioning

confidence: 99%

A stabilized formulation with maximum entropy meshfree approximants for viscoplastic flow simulation in metal forming

et al. 2014

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The finite element method is the reference technique in the simulation of metal forming and provides excellent results with both Eulerian and Lagrangian implementations. The latter approach is more natural and direct but the large deformations involved in such processes require remeshing-rezoning algorithms that increase the computational times and reduce the quality of the results. Meshfree methods can better handle large deformations and have shown encouraging results. However, viscoplastic flows are nearly incompressible, which poses a challenge to meshfree methods. In this paper we propose a simple model of viscoplasticity, where both the pressure and velocity fields are discretized with maximum entropy approximants. The inf-sup condition is circumvented with a numerically consistent stabilized formulation that involves the gradient of the pressure. The performance of the method is studied in some benchmark problems including metal forming and orthogonal cutting.

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Section: Introductionmentioning

confidence: 99%

A stabilized formulation with maximum entropy meshfree approximants for viscoplastic flow simulation in metal forming

et al. 2014

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“…The deformation for any slice toward the rolling direction obeys the homogeneous plane strain assumption [1,9]. This assumption is also known as homogeneous compression, in which the planes remain planes as described by Lenard [15]. The material flow is constant, and the slice model assumption becomes more realistic, as the slices are positioned very close to each other over the contact length.…”

Section: Slice Modelmentioning

confidence: 99%

“…MM are found various applications, as well as in the simulation of material forming, starting from the early 1990s. A review of these applications is discussed in [15]. applications, as well as in the simulation of material forming, starting from the early 1990s.…”

Section: Introductionmentioning

confidence: 99%

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Hot Rolling Simulation System for Steel Based on Advanced Meshless Solution

Hanoglu

Šarler

2019

Metals

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In this work, a rolling simulation system for the hot rolling of steel is elaborated. The system is capable of simulating rolling of slabs and blooms, as well as round or square billets, in different symmetric or asymmetric forms in continuous, reversing, or combined rolling. Groove geometries are user-defined and an arbitrary number of rolling stands and distances between them may be used. A slice model assumption is considered, which allows the problem to be efficiently coped with. The related large-deformation thermomechanical problem is solved by the novel meshless Local Radial Basis Function Collocation Method. A compression test is used to compare the simulation results with the Finite Element Method. A user-friendly rolling simulation application has been created for the industrial use based on C# and .NET framework. Results of the simulation, directly taken from the system, are shown for each type of the rolling mill configurations.In this paper, recent developments of our comprehensive rolling simulation system, which includes a rolling-specific and user-friendly man-machine interface, MM solution procedure, and a comprehensive set of technologically important graphical outputs for simulating different types of rolling mills, is explained. The system was previously able to simulate schedules with flat, round [16], and non-symmetric grooves [17]. The upgrades of the system, which allow the system to simulate the reversing rolling mill process, are of a particular focus in the present paper. Rolling schedules are distinguished as flat, round, or reversing rolling types. Each type may consist of multiple rolling schedules. Material model, roll gaps, and type of the grooves, as shown in Figure 1, are all user-defined, and this helps the user to make his own sensitivity studies. Another major importance of this paper is to provide the reader with both the details of the physical model, as well as the details of the numerical solution, which are rare to see in recent rolling publications. The reason is that a vast majority of the rolling simulations employ well-known and well-optimized commercial FEM-based codes. Metals 2018, 8, x FOR PEER REVIEW 2 of 21 Metals 2019, 9, 788 3 of 21Later in this paper, the physical model, solution procedure, numerical implementation, compression test comparison of our meshless approach with FEM, and the simulation results for flat, round, and reversing mills are shown. Solution MethodThe slice model assumption, governing equations, corresponding initial and boundary conditions, and the numerical solution is explained in this section. Slice ModelRolling of steel is a very complex 3D solid mechanics problem. Therefore, the numerical simulation of rolling requires an extremely high computational power and time, proportional with the desired accuracy. In order to optimize the computational time, allowing the technologist many alternative simulations in a short time, a 2D slice physical model is chosen and schematically depicted in Figure 2. The deformation for any slice toward the ...

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“…Manipulation of stencil in local meshless formulation is a big advantage in the case of convection dominated PDE both in the uniform and nonuniform nodal settings. Meshless methods belong to a class of numerical methods which do not suffer from lack of accuracy due to mesh (or cloud) distortion, as in the case of finite element method [Cueto and Chinesta (2013)] and it can be easily applied on irregular geometry in higher dimensions.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Dispersion in an Open Channel from an Elevated Source Using an Upwind Local Meshless Method

Islam

Singh

Kumar

2017

Int. J. Comput. Methods

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Numerical solution of steady state partial differential equation (PDE) model is proposed using a stabilized local meshless method (SLMM). The PDE model under consideration is used to approximate longitudinal dispersion of suspended particles of turbulent flow moving with both zero and nonzero settling velocities. In the proposed technique, a shape parameter based SLMM is used to calculate effects of mean velocity and variable eddy diffusivity accurately. In the case of zero settling velocity, when particles are injected from a line source located at some height, numerical results confirm the experimental results. Numerical results of the SLMM also confirm numerical results produced by finite difference method (FDM) as well.

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Meshless methods for the simulation of material forming

Cited by 26 publications

References 106 publications

A stabilized formulation with maximum entropy meshfree approximants for viscoplastic flow simulation in metal forming

A stabilized formulation with maximum entropy meshfree approximants for viscoplastic flow simulation in metal forming

Hot Rolling Simulation System for Steel Based on Advanced Meshless Solution

Estimation of Dispersion in an Open Channel from an Elevated Source Using an Upwind Local Meshless Method

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