Automatic 3-D simulation and micro-stress distribution of polycrystalline metallic materials

Zhao, Yaowu; Tryon, Robert

doi:10.1016/j.cma.2004.02.015

Cited by 35 publications

(26 citation statements)

References 12 publications

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“…As shown in Fig. 4(b), grains in the body were generated by Voronoi tessellation explained in the following: [15][16][17] (1) Nuclei are located at random positions in the body.…”

Section: Review Of Experimental Resultsmentioning

confidence: 99%

Angular Distribution of Slip Steps by Three-Dimensional Polycrystalline Model for Stainless Steel

Kamaya¹,

Fukuya²,

Kitamura

2009

Journal of Nuclear Science and Technology

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Localized deformation plays an important role in the initiation of irradiation-assisted stress corrosion cracking, and it can be characterized by the spacing and inclination of slip steps observed on the surface. In order to examine the contribution of mechanical factors (stress) to slipping, the angular distribution of slip steps was evaluated by using a three-dimensional polycrystalline model generated by Voronoi tessellation. An elastic finite element analysis was performed to derive the resolved shear stress (RSS) acting on each slip system. Random crystallographic orientations assigned to each grain caused the microstructural inhomogeneity of local stress due to anisotropic elastic properties. The angular distribution obtained was compared with the experimental results observed in irradiated and deformed stainless steel. It was shown that mechanical factors dominate the slipping behavior of the irradiated stainless steel and that not only RSS but also normal stress acting on the slip plane affects the crystallographic slip. The angular distribution was also evaluated from the maximum Schmid factor of individual grains, in which the inhomogeneous local stress was not taken into account. The angular distributions obtained using RSS and the Schmid factor were almost the same. This suggests that the inhomogeneity of local stress negligibly affects the angular distribution of slip steps, although the change in the local stress in the polycrystalline material is significant.

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“…As shown in Fig. 4(b), grains in the body were generated by Voronoi tessellation explained in the following: [15][16][17] (1) Nuclei are located at random positions in the body.…”

Section: Review Of Experimental Resultsmentioning

confidence: 99%

Angular Distribution of Slip Steps by Three-Dimensional Polycrystalline Model for Stainless Steel

Kamaya¹,

Fukuya²,

Kitamura

2009

Journal of Nuclear Science and Technology

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“…It is obvious that this approach cannot represent with sufficient accuracy the interface between two grains and also with very refined meshes the introduction of intergranular artifacts is unavoidable. Unstructured meshes 50,51,79,59 , on the other hand, are built starting from the grains morphology. Usually, the grain edges (1D) are meshed first, to provide the seeds for the meshing of the grain faces (2D), which in turn provide a constraint for the interior domain (3D).…”

Section: Microstructure Meshing and Remeshingmentioning

confidence: 99%

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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“…However, this technique produces non-conforming representation of the grain boundaries with large number of elements [1,18,19]. Another approach is the unstructured meshing which produces tetrahedral meshes conforming to the grain boundaries [20], for example, Delaunay triangulation and Voronoi tessellation. The Delaunay triangulation is based on a criterion called 'empty sphere', which states that any node must not be contained in the circumsphere of any tetrahedra within the mesh [21].…”

Section: Previous Workmentioning

confidence: 99%

Quality improvement of non‐manifold hexahedral meshes for critical feature determination of microstructure materials

Qian

Zhang

Wang

et al. 2009

Numerical Meth Engineering

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SUMMARYThis paper describes a novel approach to improve the quality of non-manifold hexahedral meshes with feature preservation for microstructure materials. In earlier works, we developed an octree-based isocontouring method to construct unstructured hexahedral meshes for domains with multiple materials by introducing the notion of material change edge to identify the interface between two or more materials. However, quality improvement of non-manifold hexahedral meshes is still a challenge. In the present algorithm, all the vertices are categorized into seven groups, and then a comprehensive method based on pillowing, geometric flow and optimization techniques is developed for mesh quality improvement. The shrink set in the modified pillowing technique is defined automatically as the boundary of each material region with the exception of local non-manifolds. In the relaxation-based smoothing process, non-manifold points are identified and fixed. Planar boundary curves and interior spatial curves are distinguished, and then regularized using B-spline interpolation and resampling. Grain boundary surface patches and interior vertices are improved as well. Finally, the optimization method eliminates negative Jacobians of all the vertices. We have applied our algorithms to two beta titanium data sets, and the constructed meshes are validated via a statistics study. Finite element analysis of the 92-grain titanium is carried out based on the improved mesh, and compared with the direct voxel-to-element technique.

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Automatic 3-D simulation and micro-stress distribution of polycrystalline metallic materials

Cited by 35 publications

References 12 publications

Angular Distribution of Slip Steps by Three-Dimensional Polycrystalline Model for Stainless Steel

Angular Distribution of Slip Steps by Three-Dimensional Polycrystalline Model for Stainless Steel

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

Quality improvement of non‐manifold hexahedral meshes for critical feature determination of microstructure materials

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