A multi-mechanism model for cutting simulations based on the concept of generalized stresses

Cheng, Chun; Mahnken, Rolf

doi:10.1016/j.commatsci.2014.12.028

Cited by 9 publications

(2 citation statements)

References 23 publications

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“…This quantity, stress mode angle or Lode-factor, respectively, has been applied, e.g., in [1,12,57], [25]. Based on [26], extensive use of the stress mode angle has also been made by this author and co-workers for modeling asymmetric effects of experimental data in tension, compression and shear for metallic materials (such as AISI 52100) [10,11,29], with applications for cutting processes like hard turning [49].…”

Section: An Aspect Of Validation: Conformity Of Data Sets and Constitutive Modelmentioning

confidence: 99%

Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters

Mahnken

2022

Arch Appl Mech

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Optimized material parameters obtained from parameter identification for verification wrt a certain loading scenario are amenable to two deficiencies: Firstly, they may lack a general validity for different loading scenarios. Secondly, they may be prone to instability, such that a small perturbation of experimental data may ensue a large perturbation for the material parameters. This paper presents a framework for extension of hyperelastic models for rubber-like materials accounting for both deficiencies. To this end, an additive decomposition of the strain energy function is assumed into a sum of weighted strain mode related quantities. We propose a practical guide for model development accounting for the criteria of verification, validation and stability by means of the strain mode-dependent weighting functions and techniques of model reduction. The approach is successfully applied for 13 hyperelastic models with regard to the classical experimental data on vulcanized rubber published by Treloar (Trans Faraday Soc 40:59–70, 1944), showing both excellent fitting capabilties and stable material parameters.

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Section: An Aspect Of Validation: Conformity Of Data Sets and Constitutive Modelmentioning

confidence: 99%

Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters

Mahnken

2022

Arch Appl Mech

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“…Upon material softening, a severe mesh dependence is experienced whether these equations were to be solved through Finite Element Modeling (FEM) [15,11,51]. On top of that, an accurate, thermodynamically-consistent material description must be employed to correctly capture the thermal softening induced by high plastic deformation [2,32,13,53,40]. Furthermore, the fact that during these processes the deformation is prone to localize in narrow areas makes it necessary to adopt numerical models which are able to predict size-effects [17,21,56,28,54,35,39,42,48].…”

Section: Introductionmentioning

confidence: 99%

Thermomechanics of Cosserat medium: modeling adiabatic shear bands in metals

Russo

Forest

Mata

2020

Continuum Mech. Thermodyn.

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During most metal manufacturing processes, the medium deforms by generating large quantities of plastic strain at relatively high strain rates, inevitably inducing rises in temperature. Metals characterized by low thermal conductivity properties might locally retain high temperatures, consequently undergoing thermal softening. The classical balance laws governing the continuum equilibrium show severe mesh sensitivity if they were numerically discretized through Finite Element Methods. Furthermore, the plastic deformation tends to localize in narrow areas whose characteristic length is comparable to grain size, thereby requiring the adoption of theories able to predict sizeeffects. In this manuscript we demonstrate that the Cosserat medium is able to overcome these issues related to manufacturing processes simulation. We first provide a thermodynamically-consistent description of the Cosserat medium, and then we propose a method to calibrate the two additional characteristic lengths introduced by the Cosserat medium description by enriching the model with the TANH stress flow rule under adiabatic conditions.

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The concept of generalized stresses for computational manufacturing and beyond

et al. 2016

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Computational manufacturing aims at predicting the physical state of a part, structure or respectively its components resulting from a production process. Applicants of computational manufacturing expect reliable and predictive simulation results for various physical effects. Therefore, extended continuum models become increasingly important in modern field theories of materials. To this end, Gurtin and Forest propose the concept of generalized stresses, which shows a strong link between extended continuum mechanics in macroscopic modelling and phase field models in mesoscopic modelling. In this exposition, the concept of generalized stresses is exploited to three different scenarios of computational manufacturing: 1. Micromorphic elasticity considering rotational as well as deformable microstructural effects motivated for a cold box sand in a casting process. 2. Visco‐plasticity coupled to gradient phase transformation at large strains with applications to a cutting process and a hybrid forming process, each showing phase transformations and TRIP‐effects. 3. Multiphase field modelling coupled to Cahn‐Hilliard diffusion to simulate the complex lower bainite transformation in steel as a mesoscopic application of computational manufacturing. Each prototype model is illustrated by a representative finite‐element simulation. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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A multi-mechanism model for cutting simulations based on the concept of generalized stresses

Cited by 9 publications

References 23 publications

Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters

Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters

Thermomechanics of Cosserat medium: modeling adiabatic shear bands in metals

The concept of generalized stresses for computational manufacturing and beyond

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