Numerical aspects in the finite element simulation of the Portevin–Le Chatelier effect

Mazière, Matthieu; Besson, Jacques; Forest, Samuel; Tanguy, B.; Chalons, Hervé; Vogel, François

doi:10.1016/j.cma.2009.11.004

Cited by 56 publications

(30 citation statements)

References 59 publications

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“…Another aspect of possible mesh-dependence of FE simulation results arises in the context of problems involving strain and/or strain rate localization such as PLC bands (e.g., Zhang et al, 2001;Maziére et al, 2010). As is well-known, since the material model we are working with here is ''local'' in nature, basic mesh-dependence, in particular with respect to the (lack of mesh-independent) spatial resolution of the solution fields, is unavoidable due to mathematical issues such as ill-posedness of the corresponding boundary value-problem and loss of ellipticity.…”

Section: Mesh-dependence Related To Localizationmentioning

confidence: 99%

Thermomechanical characterization of Portevin–Le Châtelier bands in AlMg3 (AA5754) and modeling based on a modified Estrin–McCormick approach

Klusemann

Fischer

Böhlke

et al. 2015

International Journal of Plasticity

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Section: Mesh-dependence Related To Localizationmentioning

confidence: 99%

Thermomechanical characterization of Portevin–Le Châtelier bands in AlMg3 (AA5754) and modeling based on a modified Estrin–McCormick approach

Klusemann

Fischer

Böhlke

et al. 2015

International Journal of Plasticity

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“…[6] s* is the stress at the blocking obstacle, n is the total number of mobile dislocations in the pile-up, and s o is the effective remotely applied stress. In strain control, the required stress to continue deformation would decrease according to Eqs.…”

Section: Nature Of Serrationsmentioning

confidence: 99%

“…Most results show that the PLC effect arises from a dynamic interaction between dislocations and solute atoms. The PLC effect has been observed in solid solution alloys [2][3][4][5][6][7] and also in precipitate systems such as Ni-based superalloys e.g., References 8 through 12 and in Ni-Fe base superalloys, e.g., Reference 13. In broad outline, the solute atoms segregate to regions in the lattice which are dilated by the presence of dislocations to reduce the overall strain energy of the system.…”

Section: Introductionmentioning

confidence: 97%

The Portevin-Le Chatelier Effect in the Ni-Based Superalloy IN100

Fernandez-Zelaia

Adair

Barker

et al. 2015

Metall Mater Trans A

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The Portevin-Le Chatelier (PLC) effect has been studied in the Ni-based superalloy IN100 which is currently used as a disk material in jet engines. A series of tensile tests was carried out at 588 K, 755 K, and 922 K (315°C, 482°C, and 649°C) at plastic strain rates ranging from a low of 6.21 9 10 À6 s À1 to a high of 4.92 9 10 À2 s À1 . The activation energy was determined using the slope of a line on a strain rate/temperature graph which divided the area of the graph into two regions: (1) ''PLC behavior observed,'' and (2) ''No PLC behavior observed.'' A new statistical approach was developed to objectively differentiate between a true PLC effect and experimental uncertainty (i.e., ''noise''). The value of the activation energy was found to be 1.14 eV/atom, which strongly suggests that the rate controlling process was bulk diffusion of C in the lattice. A qualitative model, based on the Orowan equation and slip band dislocation mechanics, was proposed, which unifies the seemingly disparate ideas of the process being controlled by a single atom/dislocation interaction while at the same time exhibiting significant strains during PLC load drops.

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“…On the other hand, the targeted applications of strain gradient plasticity are crystal plasticity and grain boundary migration [1,9,28], whereas strain rate gradients are thought to be relevant for aging materials [29].…”

Section: Resultsmentioning

confidence: 99%

“…It is classically used for the regularization of strain localization phenomena. The rate dependent part in the previous equation is expected to be useful in the simulation of strain rate localization phenomena which occur for instance in strain aging materials [29]. Under plastic loading, the equivalent stress can then be decomposed into the following contributions:…”

Section: Introduction Of Viscous Generalized Stressesmentioning

confidence: 99%

Micromorphic vs. Phase-Field Approaches for Gradient Viscoplasticity and Phase Transformations

Forest

Ammar

Appolaire

2011

Advances in Extended and Multifield Theories for Continua

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Abstract. Strain gradient models and generalized continua are increasingly used to introduce characteristic lengths in the mechanical behavior of materials with microstructure. On the other hand, phase-field models have proved to be efficient tools to simulate microstructure evolution due to thermodynamical processes in the presence of mechanical deformation. It is shown that both methods have strong connections from the point of view of thermomechanical field theory. A general formulation of thermomechanics with additional degrees of freedom is presented that encompasses both applications as special cases. It is based on the introduction of additional power of internal forces introducing generalized stresses. The current knowledge in the formulation of physically non-linear constitutive equations is used to develop strongly coupled elastoviscoplastic material models involving phase transformation and moving boundaries.

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Numerical aspects in the finite element simulation of the Portevin–Le Chatelier effect

Cited by 56 publications

References 59 publications

Thermomechanical characterization of Portevin–Le Châtelier bands in AlMg3 (AA5754) and modeling based on a modified Estrin–McCormick approach

Thermomechanical characterization of Portevin–Le Châtelier bands in AlMg3 (AA5754) and modeling based on a modified Estrin–McCormick approach

The Portevin-Le Chatelier Effect in the Ni-Based Superalloy IN100

Micromorphic vs. Phase-Field Approaches for Gradient Viscoplasticity and Phase Transformations

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