Determination of the Flow Stress–Strain Curves of Aluminum Alloy and Tantalum Using the Compressive Load–Displacement Curves of a Hat-Type Specimen

Author:

Lee Jae-Ha1,Shin Hyunho2,Kim Jong-Bong3,Kim Ju-Young4,Park Sung-Taek4,Kim Gwang-Lyeon4,Oh Kyeong-Won5

Affiliation:

1. Mechanics of Materials and Design Laboratory, Department of Materials Engineering, Gangneung-Wonju National University, Gangwon-do, Gangneung 25457, South Korea

2. Mechanics of Materials and Design Laboratory, Department of Materials Engineering, Gangneung-Wonju National University, Gangwon-do, Gangneung 25457, South Korea e-mail:

3. Computational Mechanics and Design Laboratory, Department of Mechanical and Automotive Engineering, Seoul National University of Science and Technology, Nowon-gu, Seoul 01811, South Korea e-mail:

4. Poongsan Defense R&D Institute, Yuseong-gu, Daejeon 34027, South Korea

5. Defense Industry Technology Center, Yongsan-gu, Seoul 04353, South Korea

Abstract

The load–displacement curves of an aluminum alloy and tantalum were determined using a hat-type specimen in the compression test. Based on the results of finite element analysis, the employed geometry of the hat-type specimen was found to yield a load–displacement curve that is nearly independent of the friction between the specimen and the platen. The flow stress–strain curves of the alloy and tantalum were modeled using the Ludwik and Voce constitutive laws, respectively; furthermore, simulation of the compression event of the hat-type specimen was performed by assuming appropriate constitutive parameters. The constitutive parameters were varied via an optimization function built in matlab until the simulated load–displacement curves reasonably fit the experimental curve. The optimized constitutive parameters obtained in this way were then used to construct friction-free flow stress–strain curves of the two materials.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference34 articles.

1. The Relationship Between Stress and Strain for Homogeneous Deformation;J. Inst. Met.,1948

2. Johnson, G. R., and Cook, W. H., 1983, “A Constitutive Model and Data for Metals Subjected to Large Strains, High Strain Rates and High Temperatures,” Seventh International Symposium on Ballistics. Hague: Organizing Committee of the seventh ISB, The Hague, The Netherlands, Apr. 19–21, pp. 541–547.

3. A Phenomenological Constitutive Equation to Describe Various Flow Stress Behaviors of Materials in Wide Strain Rate and Temperature Regimes;ASME J. Eng. Mater. Technol.,2010

4. On the Extraction of Elastic–Plastic Constitutive Properties From Three-Dimensional Deformation Measurements;ASME J. Appl. Mech.,2015

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