Simulation of meso–macro dynamic behavior using steel as an example

Балохонов, Р. Р.; Романова, В. А.; Schmauder, Siegfried; Макаров, П. В.

doi:10.1016/j.commatsci.2003.08.007

Cited by 22 publications

(16 citation statements)

References 4 publications

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“…Results obtained in the 2D and 3D cases support the general belief that mesh free methods will become more and more popular for solving many metallurgical problems. Another interesting series of work [5,[86][87][88] includes processes occurring at the mezoscale and their influence on the macroscale. This was one of the first multi scale approaches based on the combination of continuous and discrete methods.…”

Section: Shear Band Modelingmentioning

confidence: 99%

“…These mechanisms have been the subject of research performed for decades by scientists from all over the world [3,5,10,15,27,61,87,97,98,101,102,105]. Several complex theoretical and mathematical models describing slip and twinning in various metallic materials (steel [51], aluminum [20], magnesium [98] and titanium [118]) have been used in theoretical analyses supporting the experimental knowledge.…”

Section: Strain Localization Phenomenamentioning

confidence: 99%

“…Introducing modified elements into the FE mesh [102] or introducing a modified flow rule, which is particularly sensitive to shear banding phenomena [106,129], are possible solutions to this problem. Several alternative approaches based on discrete methods such as Cellular Automata (CA) have been introduced as well during creation of the more complex and accurate models [5,87]. A short description of several numerical models taking into account shear banding is given below.…”

Section: Shear Band Modelingmentioning

confidence: 99%

“…By extending (5) to the whole boundary S, an approximation of the displacement field in the FE method is expressed as: Fig. 4 Illustration of the unit jump function finite element approximation [102] where: H S e (x)-Heaviside function, N k e -standard linear shape function of the k e node, n el number of all finite elements in the mesh.…”

Section: Shear Band Modelingmentioning

confidence: 99%

See 3 more Smart Citations

Development of the Multi-scale Analysis Model to Simulate Strain Localization Occurring During Material Processing

Madej

Hodgson

Pietrzyk

2009

Arch Computat Methods Eng

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A detailed description of possibilities given by the developed Cellular Automata-Finite Element (CAFE) multi scale model for prediction of the initiation and propagation of micro shear bands and shear bands in metallic materials subjected to plastic deformation is presented in the work. Particular emphasis in defining the criterion for initiation of micro shear and shear bands, as well as in defining the transition rules for the cellular automata, is put on accounting for the physical aspects of these phenomena occurring in two different scales in the material. The proposed approach led to the creation of the real multi scale model of strain localization phenomena. This model predicts material behavior in various thermo-mechanical processes. Selected examples of applications of the developed model to simulations of metal forming processes, which involve strain localization, are presented in the work. An approach based on the Smoothed Particle Hydrodynamic, which allows to overcome difficulties with remeshing in the traditional CAFE method, is a subject of this work as well. In the developed model remeshing becomes possible and difficulties limiting application of the CAFE method to simple deformation processes are solved. Obtained results of numerical simulations are compared with the experimental results of cold rolling process to show good predicative capabilities of the developed model. L. Madej ( ) · M. Pietrzyk

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Section: Shear Band Modelingmentioning

confidence: 99%

Section: Strain Localization Phenomenamentioning

confidence: 99%

Section: Shear Band Modelingmentioning

confidence: 99%

Section: Shear Band Modelingmentioning

confidence: 99%

See 2 more Smart Citations

Development of the Multi-scale Analysis Model to Simulate Strain Localization Occurring During Material Processing

Madej

Hodgson

Pietrzyk

2009

Arch Computat Methods Eng

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“…In [15], condition (6) is combined with the relaxation constitutive equation without introducing the temperature explicitly. Numerical modeling of Luders band propagation in 20MnMoNi55 steel was performed for various strain rates.…”

Section: Relaxation Constitutive Equationmentioning

confidence: 99%

Numerical modeling of the thermomechanical behavior of steels with allowance for the propagation of Luders bands

Балохонов

Романова

2007

J Appl Mech Tech Phys

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A thermomechanical model based on physical representations of the motion of dislocation continuum and a model for the initiation and propagation of plastic shear are proposed to describe slow flows of the type of Luders bands. Two-dimensional calculations of Luders band propagation are performed for HSLA-65 steel samples under compression at various strain rates and temperatures. The calculation results are in good agreement with experimental data.Introduction. Constructing physicomechanical models of homogeneous deformation that describe the mechanical behavior of metals and alloys at various rates and temperatures is an important problem of modern mechanics. From a physical point of view, it is also necessary to develop approaches to modeling inhomogeneous flows. Substantially inhomogeneous deformation is exemplified by the propagation of Chernov-Luders localized plastic deformation bands. In experiments, a Luders band is usually observed as a macroscopic zone of localized plastic deformation, which forms near the base macroscopic stress concentrator (as a rule, near the tensile grip) and propagates throughout the sample at a rate characteristic of the particular grade of steel.The goal of the work is to construct a combined model for the mechanical behavior of metals that includes a relaxation equation taking into account the rate and temperature sensitivity and describes the initiation and propagation of localized plastic deformation bands.General System of Equations and Initial and Boundary Conditions. To describe material deformation, we use the system of equations including the laws of conservation of mass and momentum, strain relations, and the constitutive equations describing the material. The mechanical behavior of the examined steel grade is modeled for a plane strain state. A numerical solution is constructed in Lagrangian variables using a finite difference method [1,2].In the case of plane strain, the following strain rate tensor components are nonzero:

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Microstructure-Based Computational Analysis of Deformation and Fracture in Composite and Coated Materials Across Multiple Spatial Scales

Балохонов

Романова

2020

Springer Tracts in Mechanical Engineering

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A multiscale analysis is performed to investigate deformation and fracture in the aluminum-alumina composite and steel with a boride coating as an example. Model microstructure of the composite materials with irregular geometry of the matrix-particle and substrate-coating interfaces correspondent to the experimentally observed microstructure is taken into account explicitly as initial conditions of the boundary value problem that allows introducing multiple spatial scales. The problem in a plane strain formulation is solved numerically by the finite-difference method. Physically-based constitutive models are developed to describe isotropic strain hardening, strain rate and temperature effects, Luders band propagation and jerky flow, and fracture. Local regions experiencing bulk tension are found to occur during compression that control cracking of composites. Interrelated plastic strain localization in the steel substrate and aluminum matrix and crack origination and growth in the ceramic coating and particles are shown to depend on the strain rate, particle size and arrangement, as well as on the loading direction: tension or compression.

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Simulation of meso–macro dynamic behavior using steel as an example

Cited by 22 publications

References 4 publications

Development of the Multi-scale Analysis Model to Simulate Strain Localization Occurring During Material Processing

Development of the Multi-scale Analysis Model to Simulate Strain Localization Occurring During Material Processing

Numerical modeling of the thermomechanical behavior of steels with allowance for the propagation of Luders bands

Microstructure-Based Computational Analysis of Deformation and Fracture in Composite and Coated Materials Across Multiple Spatial Scales

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