This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
A New Approach to Comprehensive Modeling of Sheet Metal Tensile Test Data Using a Universal Exponential Expression
Technical Paper
2020-01-0751
ISSN: 0148-7191, e-ISSN: 2688-3627
This content contains downloadable datasets
Annotation ability available
Sector:
Language:
English
Abstract
This work aims to providing an improved fit to continuously describe tensile test behavior over arbitrary quasi-static regression fit techniques. The tensile test, commonly defined by elastic, transient, and exponential regions, is represented here by a continuous curve spanning from the unstrained state to the post uniform regions. Since the model is continuous, proportionality and yield points between regions are not defined. This continuous behavior is described by an exponential expression defined in the logarithmic stress-strain coordinate system, from which the model fit is determined. In this logarithmic scale, we found that the data is bound by segments of concave and/or convex curvatures which end approach asymptotically towards straight lines. The coordinates of the fit in the logarithmic scale are defined at the intersection of the asymptotes, and the material fits are found from the optimum regression fit. The accuracy of the fit was validated at quasi-static speeds for four different sheet materials: cold rolled deep drawing quality, dual phase DP590, and dual phase DP780 steels, and an aluminum alloy AA6916. The fitting accuracies improved with the number of material fits. Accuracies for steel grades at any the point on the full range varied from 0.2%. to 3.8%, with 90% of the curve below 1% accuracy. The maximum dispersions for the aluminum alloy studied, modeled with two material fits, is found to be only 2% higher.
Topic
Citation
Sanchez Vega, L., "A New Approach to Comprehensive Modeling of Sheet Metal Tensile Test Data Using a Universal Exponential Expression," SAE Technical Paper 2020-01-0751, 2020, https://doi.org/10.4271/2020-01-0751.Data Sets - Support Documents
| Title | Description | Download |
|---|---|---|
| Unnamed Dataset 1 | ||
| Unnamed Dataset 2 | ||
| Unnamed Dataset 3 | ||
| Unnamed Dataset 4 |
Also In
References
- Lubliner , J. Plasticity Theory Dover Publications 2008
- ASTM International 2009 10.1520/E0008_E0008M-11
- ASM International https://www.asminternational.org/documents/10192/1849770/05106G_Sample_BuyNow.pdf/b4838889-d1dc-4bf5-a8bd-d6771fa36bf8 2004
- Hollomon , J.H. Tensile Deformation Transactions of the American Institute of Mining and Metallurgical Engineers 162 268 290 1945
- Ludwik , P. Elemente der technologischen, mechanil Berlin Springer 1909
- Swift , H.W. Plastic Instability under Plane Stress J. Mech. Phys. Solids 1 1 18 1952
- https://www.a-sp.org/-/media/files/asp/enabling-programs/high_strength_steel_stamping_design_manual.ashx
- Voce , E. A Practical Strain-Hardening Function Metallurgia, The British Journal of Metals 51 307 219 226 1955
- Chaboche , J.L. A Review of Some Plasticity and Viscoplasticity Constitutive Theories International J. of Plasticity 24 1642 1693 2008
- Chun , B.K. , Jinn , J.T. , and Lee , J.K. Modeling the Bauschinger Effect for Sheet Metals, Part I: Theory International J of Plasticity 18 571 595 2002
- Ramberg , W. , Osgood , W.R. 1943 https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19930081614.pdf
- Rasmussen , K.J.R. Full-Range Stress-Strain Curves or Stainless-Steel Alloys Journal of Constructional Steel Research 59 47 61 2003
- Rasmussen , K.J.R. and Hancock , G.J. “Design of Cold-Formed Stainless-Steel Tubular Members”, II: Beams J. Struct. Eng. ASCE 119 8 2368 2386 1993
- Mirambell , E. and Real , E. On the Calculation of Deflections in Structural Stainless Steel Beams: An Experimental and Numerical Investigation J. Constr. Steel Res. 54 1 109 133 2000
- Real , E. , Arrayago , I. , Mirambell , E. , and Westeel , R. Comparative Study of Analytical Expressions for the Modelling of Stainless-Steel Behavior Thin-Walled Structures 83 2 11 2014
- Arrayago , I. , Real , E. , and Gardner , L. Description of Stress-Strain Curves for Stainless Steel Alloys Materials and Design 87 540 552 2015
- Quach , W.M. , Teng , J.G. , and Chung , K.F. Three-Stage Full-Range Stress-Strain Model for Stainless Steels Journal of Structural Engineering, ASCE 134 1518 1527 2008
- Abdella , K. A Three-Stage Full-Range Stress-Strain Inversion for Stainless Steel Alloys as an Explicit Function of Temperature Thin-Walled Structures 53 9 14 2012
- Hradil , P. , Talja , A.E. , Real , E. , Mirambell , E. , and Rossi , B. Generalized Multistage Mechanical Model for Nonlinear Metallic Materials Thin-Walled Structures 63 63 69 2013
- Gardner , L. and Yun , X. Description of Stress-Strain Curves for Cold-Formed Steels Construction and Building Materials 189 527 538 2018
- Li , T. , Jinyang Zheng , J. , and Chen , Z. Description of Full-Range Strain Hardening Behavior of Steels SpringerPlus 5 1316 2016 10.1186/s40064-016-2998-3
- Sanchez Vega , L.R. and Hanzon , D.H. Quantification of Large Uniaxial Bauschinger Effects in Sheet Metal from Pure Bending/Unbending Tests and Interferometer Techniques International Journal of Mechanical Sciences 118 144 154 2016