Effective and internal stresses in cyclically strained materials

The plastic response during cyclic loading of crystalline materials and the methods for determining individual components of the cyclic stress are reviewed. Two basic approaches, the representative volume element and statistical description of the deformation of microvolumes with different critical...

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Main Authors: Jaroslav Polák, Ivo Šulák
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Results in Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590123024021388
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author Jaroslav Polák
Ivo Šulák
author_facet Jaroslav Polák
Ivo Šulák
author_sort Jaroslav Polák
collection DOAJ
description The plastic response during cyclic loading of crystalline materials and the methods for determining individual components of the cyclic stress are reviewed. Two basic approaches, the representative volume element and statistical description of the deformation of microvolumes with different critical internal stresses, are compared. Using the theory of thermally activated deformation, the behavior of a single microvolume during loading and unloading is analyzed. Basic features of the statistical theory of the hysteresis loop are described, and thermally activated processes are incorporated. The statistical approach leads to the rapid decrease of the effective stress during unloading and a slow buildup of the macroscopic stress in reverse straining. The analysis leads to a new interpretation of the unloading experiment and the evaluation of the effective stress component as approximately double the value obtained by the classical method. Using the statistical approach in modeling the plastic stress-strain response is emphasized.
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spelling doaj-art-0f1781024fb74a16a37c1f3821c5a0fe2025-01-08T04:53:24ZengElsevierResults in Engineering2590-12302025-03-0125103895Effective and internal stresses in cyclically strained materialsJaroslav Polák0Ivo Šulák1Institute of Physics of Materials, Czech Academy of Sciences, Brno, Czech RepublicCorresponding author.; Institute of Physics of Materials, Czech Academy of Sciences, Brno, Czech RepublicThe plastic response during cyclic loading of crystalline materials and the methods for determining individual components of the cyclic stress are reviewed. Two basic approaches, the representative volume element and statistical description of the deformation of microvolumes with different critical internal stresses, are compared. Using the theory of thermally activated deformation, the behavior of a single microvolume during loading and unloading is analyzed. Basic features of the statistical theory of the hysteresis loop are described, and thermally activated processes are incorporated. The statistical approach leads to the rapid decrease of the effective stress during unloading and a slow buildup of the macroscopic stress in reverse straining. The analysis leads to a new interpretation of the unloading experiment and the evaluation of the effective stress component as approximately double the value obtained by the classical method. Using the statistical approach in modeling the plastic stress-strain response is emphasized.http://www.sciencedirect.com/science/article/pii/S2590123024021388Hysteresis loopEffective stressInternal stressStatistical theoryModeling
spellingShingle Jaroslav Polák
Ivo Šulák
Effective and internal stresses in cyclically strained materials
Results in Engineering
Hysteresis loop
Effective stress
Internal stress
Statistical theory
Modeling
title Effective and internal stresses in cyclically strained materials
title_full Effective and internal stresses in cyclically strained materials
title_fullStr Effective and internal stresses in cyclically strained materials
title_full_unstemmed Effective and internal stresses in cyclically strained materials
title_short Effective and internal stresses in cyclically strained materials
title_sort effective and internal stresses in cyclically strained materials
topic Hysteresis loop
Effective stress
Internal stress
Statistical theory
Modeling
url http://www.sciencedirect.com/science/article/pii/S2590123024021388
work_keys_str_mv AT jaroslavpolak effectiveandinternalstressesincyclicallystrainedmaterials
AT ivosulak effectiveandinternalstressesincyclicallystrainedmaterials