Finite element simulations of cold deformation at the mesoscale

Sarma, G.B.; Radhakrishnan, B.; Zacharia, T.

doi:10.1016/s0927-0256(98)00036-6

Cited by 69 publications

(42 citation statements)

References 26 publications

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“…Three-dimensional aggregates with a relevant number of grains have been successfully addressed using Monte Carlo Potts models 86,87,88,89,90 . A Monte-Carlo grain growth algorithm was used by Sarma et al 91 , who generated an initial microstructure for FE simulations of cold deformation at the mesoscale in a crystal plasticity framework. Also other techniques such as boundary-tracking approaches 92,93,94 100 developed a 3D phase-field model of grain growth for materials containing finely dispersed second-phase particles.…”

Section: Computational Simulation Of Grain-growthmentioning

confidence: 99%

“…Although models with simplified representation of the microstructure were able to produce acceptable predictions of the texture evolution, the accurate representation of local micro stress/strain gradient, especially close to the grain boundaries, required more a realistic representation of the microstructure. One of the first attempts at simulating a fully three-dimensional microstructure with discretization of individual grains was done by Sarma et al 91 , who also combined the deformation model with a recovery and recrystallization model. It was assumed that elastic deformations are negligibly small, and that deformation occurs by slip dominated plastic flow.…”

Section: Models Including Crystal Plasticitymentioning

confidence: 99%

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Modelling Polycrystalline Materials: An Overview of Three-Dimensional Grain-Scale Mechanical Models

Benedetti

Barbe

2013

J. Multiscale Modelling

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A survey of recent contributions on three-dimensional grain-scale mechanical modelling of polycrystalline materials is given in this work. The analysis of material microstructures requires the generation of reliable micro-morphologies and affordable computational meshes as well as the description of the mechanical behavior of the elementary constituents and their interactions. The polycrystalline microstructure is characterized by the topology, morphology and crystallographic orientations of the individual grains and by the grain interfaces and microstructural defects, within the bulk grains and at the inter-granular interfaces. Their analysis has been until recently restricted to twodimensional cases, due to high computational requirements. In the last decade, however, the wider affordability of increased computational capability has promoted the development of fully three-dimensional models. In this work, different aspects involved in the grain-scale analysis of polycrystalline materials are considered. Different techniques for generating artificial micro-structures, ranging from highly idealized to experimentally based high-fidelity representations, are briefly reviewed. Structured and unstructured meshes are discussed. The main strategies for constitutive modelling of individual bulk grains and inter-granular interfaces are introduced. Some attention has also been devoted to three-dimensional multiscale approaches and some established and emerging applications have been discussed.

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Section: Computational Simulation Of Grain-growthmentioning

confidence: 99%

Section: Models Including Crystal Plasticitymentioning

confidence: 99%

Modelling Polycrystalline Materials: An Overview of Three-Dimensional Grain-Scale Mechanical Models

Benedetti

Barbe

2013

J. Multiscale Modelling

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“…[21,22]. Another simple approach would consist in describing both c τ (see Equation (13)) and E as a function of the dislocation density ρ [41] :…”

Section: Test Casementioning

confidence: 99%

Linking plastic deformation to recrystallization in metals using digital microstructures

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Bernacki

Resk

et al. 2008

Philosophical Magazine

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“…Although early applications of this approach were limited to planar meshes, 4-8 with the recent availability and advances in parallel computing technology it has become possible to handle fairly large 3-D meshes. [9][10][11][12][13][14] The fi nite element simulations provide the crystallographic orientation and the deformation history of each volume element. The stored energy of deformation within each element is proportional to Equation 2, where ∆τ cr is the increase in the slip system strength and ∆γ is the increase in the effective slip system accumulated shear in each element during each deformation step.…”

Section: Simulating the Formation Of Deformation Substructuresmentioning

confidence: 99%