Interactive visualization of elasto-plastic behavior through stress paths and yield surfaces in finite element analysis

Lee, Jae Young; Ahn, Sung Youll

doi:10.1016/j.finel.2010.12.017

Cited by 6 publications

(7 citation statements)

References 9 publications

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“…Substituting equations (19), (20), and (21) into equation (18), multiplying by @ @fg n o T at the two ends, and then arranging it yields…”

Section: Thermo-elastic-plastic Modelmentioning

confidence: 99%

Elastic-plastic analysis for wet multidisc brake during repeated braking

Rui

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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To reveal the mechanism and evolution laws of the braking performance declining from heat load in the repeated braking applied for wet multidisc brake, a finite element analysis was carried out by using the bidirectional thermal-structure coupling method. Based on the fundamental principles of the energy conservation and virtual work principle, the elemental equations between temperature and heat load, and deformation displacement and load with heat transferring boundary conditions and heat-structure interaction were derived. Taking a steel disk in the brake for example, the deformation state of its elements, and the starting time, the location, the severity, and evolution laws of the plastic deformation were analyzed and demonstrated by using dimensionless stress distribution contours. The area in contact along the interface and the ratio of the element numbers to produce plastic deformation to the total element numbers on the steel disk were described by contact ratio and plasticity ratio, respectively. Moreover, the results under the repeated braking case were compared with that under the lasting braking case, which indicates that the influence of the temperature load on the performance declining of the repeated braking case is much lower than one of the lasting braking case, and the temperature is lower than 40 K and the plasticity ratio is smaller than 0.35 after the braking time is longer than 350 s. The conducted finite element analyses provided the theoretical fundamentals for the design and the application of the brake in the heavy type of trucks.

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“…Substituting equations (19), (20), and (21) into equation (18), multiplying by @ @fg n o T at the two ends, and then arranging it yields…”

Section: Thermo-elastic-plastic Modelmentioning

confidence: 99%

Elastic-plastic analysis for wet multidisc brake during repeated braking

Rui

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…In this case, the

2 \times 2 \times 2

integration rule produces a number of spurious modes, while the

3 \times 3 \times 3

rule suppresses the mechanism. The contour image inside the three‐dimensional solid is rendered using the volume visualization technique of VisualFEA , and thus the strain energy density can be identified as zero at all the integration points of the

2 \times 2 \times 2

rule as shown in Figure .…”

Section: Educational Observation Of Eigenmode Simulationmentioning

confidence: 99%

Interactive simulation of eigenmodes for instruction of finite element behavior

Lee

Ryu

2015

Comp Applic In Engineering

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This paper introduces a new approach to teaching and learning finite element behavior through the interactive simulation of eigenmodes, using a finite element analysis program with functions specialized for this purpose. The eigenvalues and eigenvectors of the stiffness matrix are interpreted in terms of displacement and strain energy modes representing the basic characteristics of an element or an assembly of elements. The eigenmode simulation progresses in connection with actual finite element analysis. The eigenmodes and corresponding model behaviors are simultaneously visualized. Thus, the implication of eigenmodes in the model behaviors can be perceived in association with the practical application of the finite element method. The visualization is updated instantly in response to the change of model type, element order, integration rule, and boundary constraints, etc. Such interactivity is an essential feature of the simulation process for the experimental study of eigenmodes and associated model behaviors. © 2015 Wiley Periodicals, Inc. Comput Appl Eng Educ 23:872–886, 2015; View this article online at wiley http://onlinelibrary.com/journal/cae; DOI

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“…In VisualFEA, the basic functions related to Mohr's circle were implemented initially as a means of representing finite element analysis results, which can be compared with yield surface visualization . Educational features have been added to the functions of Mohr's circle in recent years.…”

Section: Overview Of the Functions Related To Mohr's Circlementioning

confidence: 99%

“…Students may learn that this rule can be maintained in elasto‐plastic analysis by adjusting the stresses according to the given yield criterion while satisfying both equilibrium conditions and the constitutive relation through load incremental processes. The adjustment of stresses can also be explained in terms of stress path and yield surface, which is another topic of education related to elasto‐plastic analysis .…”

Section: Association Of Mohr's Circle With Elasto‐plastic Analysismentioning

confidence: 99%

Finite element implementation for computer‐aided education of structural mechanics: Mohr's circle and its practical use

Lee

Ryu

Park

2011

Comp Applic In Engineering

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This article introduces a computer program for computer-aided education about Mohr's circle and its practical use. The instructional tool has been implemented as part of a finite element analysis program, VisualFEA. The proposed approach to teaching and learning Mohr's circle is distinguished from previous work by its association with practical analysis models. The Mohr's circle is displayed and operated on the basis of stress data obtained from finite element analysis whereas arbitrarily assumed numerical values are used in other programs. The analysis can be extended to elasto-plastic models with various yield criteria. Thus, the program can be regarded not only as an instructional module for studying Mohr's circle itself, but also as a training tool for exercising its practical application. This article describes the characteristics of the program's educational features and suggests important points for teaching and learning Mohr's circle and related subjects using VisualFEA.

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Interactive visualization of elasto-plastic behavior through stress paths and yield surfaces in finite element analysis

Cited by 6 publications

References 9 publications

Elastic-plastic analysis for wet multidisc brake during repeated braking

Elastic-plastic analysis for wet multidisc brake during repeated braking

Interactive simulation of eigenmodes for instruction of finite element behavior

Finite element implementation for computer‐aided education of structural mechanics: Mohr's circle and its practical use

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