Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress
A new constitutive model for Q235B structural steel is proposed, incorporating the effect of dynamic strain aging. Dynamic strain aging hugely affects the microstructural behavior of metallic compounds, in turn leading to significant alterations in their macroscopic mechanical response. Therefore, a...
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MDPI AG
2020-04-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/13/7/1794 |
| _version_ | 1797570967676911616 |
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| author | Yooseob Song Daniel Garcia-Gonzalez Alexis Rusinek |
| author_facet | Yooseob Song Daniel Garcia-Gonzalez Alexis Rusinek |
| author_sort | Yooseob Song |
| collection | DOAJ |
| description | A new constitutive model for Q235B structural steel is proposed, incorporating the effect of dynamic strain aging. Dynamic strain aging hugely affects the microstructural behavior of metallic compounds, in turn leading to significant alterations in their macroscopic mechanical response. Therefore, a constitutive model must incorporate the effect of dynamic strain aging to accurately predict thermo-mechanical deformation processes. The proposed model assumes the overall response of the material as a combination of three contributions: athermal, thermally activated, and dynamic strain aging stress components. The dynamic strain aging is approached by two alternative mathematical expressions: (i) model I: rate-independent model; (ii) model II: rate-dependent model. The proposed model is finally used to study the mechanical response of Q235B steel for a wide range of loading conditions, from quasi-static loading (<inline-formula> <math display="inline"> <semantics> <mrow> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mo>=</mo> <mn>0.001</mn> <mo> </mo> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mo>=</mo> <mn>0.02</mn> <mo> </mo> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula>) to dynamic loading (<inline-formula> <math display="inline"> <semantics> <mrow> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mo>=</mo> <mn>800</mn> <mo> </mo> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mo>=</mo> <mn>7000</mn> <mo> </mo> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula>), and across a broad range of temperatures (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>93</mn> <mtext> </mtext> <mi>K</mi> <mo>−</mo> <mn>1173</mn> <mtext> </mtext> <mi>K</mi> </mrow> </semantics> </math> </inline-formula>). The results from this work highlight the importance of considering strain-rate dependences (model II) to provide reliable predictions under dynamic loading scenarios. In this regard, rate-independent approaches (model I) are rather limited to quasi-static loading. |
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| id | doaj.art-6a257a75636a4ea690d20667e0844e13 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T20:32:58Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
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| series | Materials |
| spelling | doaj.art-6a257a75636a4ea690d20667e0844e132023-11-19T21:16:14ZengMDPI AGMaterials1996-19442020-04-01137179410.3390/ma13071794Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow StressYooseob Song0Daniel Garcia-Gonzalez1Alexis Rusinek2Department of Civil Engineering, The University of Texas Rio Grande Valley, 1201 W University Dr, Edinburg, TX 78539, USADepartment of Continuum Mechanics and Structural Analysis, University Carlos III of Madrid, Avda. de la Universidad 30, 28911 Leganés, Madrid, SpainLaboratory of Microstructure Studies and Mechanics of Materials, UMR-CNRS 7239, Lorraine University, 7 rue Félix Savart, BP 15082, 57073 Metz CEDEX 03, FranceA new constitutive model for Q235B structural steel is proposed, incorporating the effect of dynamic strain aging. Dynamic strain aging hugely affects the microstructural behavior of metallic compounds, in turn leading to significant alterations in their macroscopic mechanical response. Therefore, a constitutive model must incorporate the effect of dynamic strain aging to accurately predict thermo-mechanical deformation processes. The proposed model assumes the overall response of the material as a combination of three contributions: athermal, thermally activated, and dynamic strain aging stress components. The dynamic strain aging is approached by two alternative mathematical expressions: (i) model I: rate-independent model; (ii) model II: rate-dependent model. The proposed model is finally used to study the mechanical response of Q235B steel for a wide range of loading conditions, from quasi-static loading (<inline-formula> <math display="inline"> <semantics> <mrow> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mo>=</mo> <mn>0.001</mn> <mo> </mo> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mo>=</mo> <mn>0.02</mn> <mo> </mo> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula>) to dynamic loading (<inline-formula> <math display="inline"> <semantics> <mrow> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mo>=</mo> <mn>800</mn> <mo> </mo> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mover accent="true"> <mi>ε</mi> <mo>˙</mo> </mover> <mo>=</mo> <mn>7000</mn> <mo> </mo> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula>), and across a broad range of temperatures (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>93</mn> <mtext> </mtext> <mi>K</mi> <mo>−</mo> <mn>1173</mn> <mtext> </mtext> <mi>K</mi> </mrow> </semantics> </math> </inline-formula>). The results from this work highlight the importance of considering strain-rate dependences (model II) to provide reliable predictions under dynamic loading scenarios. In this regard, rate-independent approaches (model I) are rather limited to quasi-static loading.https://www.mdpi.com/1996-1944/13/7/1794constitutive modeldynamic strain agingprobability functionstrain rate effectQ235B steel |
| spellingShingle | Yooseob Song Daniel Garcia-Gonzalez Alexis Rusinek Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress Materials constitutive model dynamic strain aging probability function strain rate effect Q235B steel |
| title | Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress |
| title_full | Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress |
| title_fullStr | Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress |
| title_full_unstemmed | Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress |
| title_short | Constitutive Models for Dynamic Strain Aging in Metals: Strain Rate and Temperature Dependences on the Flow Stress |
| title_sort | constitutive models for dynamic strain aging in metals strain rate and temperature dependences on the flow stress |
| topic | constitutive model dynamic strain aging probability function strain rate effect Q235B steel |
| url | https://www.mdpi.com/1996-1944/13/7/1794 |
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