Phenomenological Modeling of Hardening and Thermal Recovery in Metals

Chan, K. S.; Bodner, S. R.; Lindholm, U. S.

doi:10.1115/1.3226003

Cited by 131 publications

(45 citation statements)

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“…• C. As a special case of the constitutive equations (27), the following evolution equations of the Chan, Bodner and Lindholm (1988) model are considered:…”

Section: Monte-carlo Methods For An Austenitic Steel Ss316mentioning

confidence: 99%

Identification of Material Parameters for Constitutive Equations

Mahnken

2004

Encyclopedia of Computational Mechanics

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This contribution addresses various topics on parameter identification for constitutive equations on the basis of experimental data. Starting from basic characteristics of inverse problems illustrated by simple examples, four different identification methods are introduced. Then particular aspects of the least squares approach are outlined, such as optimization, local minima, sensitivity analysis, consequences of instabilities, and stochastic methods. Uniform small strain problems and nonuniform large strain problems are considered, where for the latter finite element results are incorporated into the optimization process. The examples are concerned with a perturbation technique in order to detect possible instabilities, a stochastic analysis in order to examine the uncertainty of parameter estimates, and a necking problem observed with an optical method in order to take into account nonuniform large strains during the experiment.

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“…• C. As a special case of the constitutive equations (27), the following evolution equations of the Chan, Bodner and Lindholm (1988) model are considered:…”

Section: Monte-carlo Methods For An Austenitic Steel Ss316mentioning

confidence: 99%

Identification of Material Parameters for Constitutive Equations

Mahnken

2004

Encyclopedia of Computational Mechanics

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“…The predictions of the models are then compared with the measured data. A similar study is performed in [22,37] for the constitutive model of Chan, Bodner, and Lindholm [14].…”

Section: Introductionmentioning

confidence: 95%

Identification of Material Parameters for Inelastic Constitutive Models Using Stochastic Methods

Harth

Lehn

2007

GAMM-Mitteilungen

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The parameters of a constitutive model are usually identified by minimization of the distance between model response and experimental data. However, measurement failures and differences in the specimens lead to deviations in the determined parameters. In this article we present our results of a study of these uncertainties for two constitutive models of Chaboche-type. The models differ only by a kinematic hardening variable. It turns out, that the kinematic hardening variable proposed by Haupt, Kamlah, and Tsakmakis yields a better description quality than the one of Armstrong and Frederick. For the parameter optimization as well as for the study of the deviations of the fitted parameters we apply stochastic methods. The available test data result from creep tests, tension-relaxation tests and cyclic tests performed on AINSI SS316 stainless steel at 600 O C. Since the amount of test data is too small for a proper statistical analysis we apply a stochastic simulation technique to generate artificial data which exhibit the same stochastic behaviour as the experimental data.

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“…Other types of micromechanical models can be added to the program, provided that the total stresses are written in terms of the inelastic strain increments. Time-independent inelastic behavior of the constituents can be represented by bilinear elastic-plastic formulation ,and the viscoplastic behavior of the constituents can be represented by the Bodner-Partom unified strain theory incorporating backstress [Ramaswamy, et al, 1990] or directional hardening [Chan, et al, 1988] formulations. The incremental iterative algorithm for computing stresses and inelastic strains makes use of the successive elastic solutions technique [Mendelson, 1968] and is explained further in Section 6.…”

Section: Section 5 Program Descriptionmentioning

confidence: 99%

FIDEP2 User Manual to Micromechanical Models for Thermoviscoplastic Behavior of Metal Matrix Composites

Çöker¹,

Boller²,

Kroupa³

et al. 1998

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The FIDEP2 (Finite-Difference code for Elastic-viscoplastic analysis) is a PC-compatible, user-friendly computer code developed in-house at the Materials Directorate, Air Force Research Laboratory, Wright-Patterson AFB, Ohio. The program is capable of predicting micromechanical stresses in metal matrix composites under complex thermal and mechanical loading histories. The FIDEP2 is a generalized version of the FIDEP program, which was limited by the concentric cylindrical geometry and elastic-plastic constitutive model. The FIDEP2 program incorporates different loading histories, micromechanical models, and constitutive models in a modular form to allow for easy implementation of new requirements. Operation of the FIDEP2 program is straightforward, requiring a loading history file and a material properties data file. Input data are in free format, and some descriptive titles are allowed. Do not return copies of this report unless contractual obligations or notice on a specific document requires its return. Subject Terms Report Classification unclassified Classification of this page unclassified Classification of Abstract unclassified Limitation of Abstract UU Number of Pagesi REPORT DOCUMENTATION PAGE Form Approved OMB No. 074-0188Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302, and to the Office of Management and Budget, Paperwork Reduction Project (0704-0188), Washington, DC 20503 Final, 09/01/1994Final, 09/01/ -09/30/1998 AGENCY USE ONLY (Leave blank) 2. REPORT DATE SEPTEMBER 1998 REPORT TYPE AND DATES COVERED TITLE AND SUBTITLE FIDEP2 USER MANUAL TO MICROMECHANICAL MODELS FOR THERMOVISCOPLASTIC BEHAVIOR OF METAL MATRIX COMPOSITES FUNDING NUMBERSC: F33615-98-C-5214 PE: 62102F PN: 4347 TA: 52 WU: 01 AUTHOR(S)DEMIRKAN COKER, FRANK BOLLER, JOSEPH KROUPA, AND NOEL E. ASHBAUGH PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)UNIVERSITY SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) MATERIALS AND MANUFACTURING DIRECTORATE AIR FORCE RESEARCH LABORATORY AIR FORCE MATERIEL COMMAND WRIGHT-PATTERSON AIR FORCE BASE, OH 45433-7750POC: Jay Jira, AFRL/MLLMN, (937) 255-1358 SPONSORING / MONITORING AGENCY REPORT NUMBER AFRL-ML-WP-TR-2001-4006 SUPPLEMENTARY NOTES 12a. DISTRIBUTION / AVAILABILITY STATEMENTApproved for public release; distribution unlimited. 12b. DISTRIBUTION CODE ABSTRACT (Maximum 200 Words)The FIDEP2 (Finite-Difference code for Elastic-viscoplastic analysis) is a PC-compatible, user-friendly computer code developed in-house at the Materials Directorate, Air Fo...

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Phenomenological Modeling of Hardening and Thermal Recovery in Metals

Cited by 131 publications

References 0 publications

Identification of Material Parameters for Constitutive Equations

Identification of Material Parameters for Constitutive Equations

Identification of Material Parameters for Inelastic Constitutive Models Using Stochastic Methods

FIDEP2 User Manual to Micromechanical Models for Thermoviscoplastic Behavior of Metal Matrix Composites

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