Development of a one-dimensional constitutive equation for metals subjected to high strain rate and large strain

1994 ◽  
Vol 29 (2) ◽  
pp. 117-127 ◽  
Author(s):  
M S J Hashmi ◽  
A M S Hamouda
Keyword(s):  
Constitutive Equation ◽  
High Strain Rate ◽  
Strain Rate ◽  
High Strain ◽  
Numerical Technique ◽  
Large Strain ◽  
Mechanical Energy ◽  
Pure Copper ◽  
One Dimensional ◽  
Rate Dependent

This paper outlines a simple technique to establish rate dependent stress-strain properties for metallic materials. The materials considered are commercially pure copper and mild steel. The deformation of materials at high strain rate leads to the conversion of mechanical energy into heat. The temperature rise produced during these processes can be significant and can lead to phase transformation. A combined experimental and numerical technique has been used to establish the one-dimensional constitutive equation, which takes account of the effects of strain, strain hardening, strain rate, inertia, and temperature.

Thermo-viscoplastic behavior and constitutive modeling of pure copper under high-strain-rate shear condition

2019 ◽  
Vol 129 ◽  
pp. 306-319 ◽  
Author(s):  
Zejian Xu ◽  
Yu Liu ◽  
Hongzhi Hu ◽  
Xiaodong He ◽  
Fenglei Huang
Keyword(s):  
High Strain Rate ◽  
Strain Rate ◽  
Constitutive Modeling ◽  
High Strain ◽  
Pure Copper ◽  
Shear Condition

scholarly journals In situ TEM observations of high-strain-rate deformation and fracture in pure copper

2020 ◽  
Vol 33 ◽  
pp. 10-16
Author(s):  
T. Voisin ◽  
M.D. Grapes ◽  
T.T. Li ◽  
M.K. Santala ◽  
Y. Zhang ◽  
...  
Keyword(s):  
High Strain Rate ◽  
Strain Rate ◽  
High Strain ◽  
Pure Copper ◽  
In Situ Tem ◽  
Deformation And Fracture ◽  
High Strain Rate Deformation

High Strain Rate Constitutive Modeling of Pure Titanium Using the Taylor Impact Test

2014 ◽  
Author(s):  
Mark E. Barkey ◽  
Haleigh Ball ◽  
Stanley E. Jones ◽  
Pingsha Dong
Keyword(s):  
High Strain Rate ◽  
Strain Rate ◽  
Compressive Stress ◽  
High Strain ◽  
Rolling Direction ◽  
Pure Titanium ◽  
Element Analysis ◽  
One Dimensional ◽  
Specimen Diameter ◽  
Taylor Impact

High strain rate mechanical properties of this material are required for the structural design of ship components for advanced naval applications. Taylor cylinder specimens were machined from pure titanium plate stock proposed for use in ship building. Since the specimens were machined from plate stock, it was assumed that the processing of the plate induced anisotropic behavior. To assure that all the effects would be captured by the tests, specimens were machined in the rolling direction, transverse direction, and 45° to the rolling direction in the plane of the plate. Indeed, distinct differences were observed in the rolling and transverse directions. Specimens in the 45° direction also showed the unsymmetrical deformation field that is associated with anisotropy. There was modest anisotropy in the thickness direction. However, the analysis of the data from the tests required corrections to accommodate this effect. Data from these tests can be reduced using two distinct methods; a one-dimensional theory and a finite element analysis with a conventional constitutive model adjusting the free parameters until the specimen geometry is matched. While the second method usually produces excellent results, we will employ a one-dimensional analysis that was proposed several years ago by one of the authors in this paper. In order to effectively apply such a theory, very low scale specimens, in this case 0.164-inch diameter, are required. The use of such low diameter specimens demands accurate measurement of the specimen profile. The recovered specimens were measured with a laser micrometer and the results were used to find estimates of quasi-static compressive stress and compressive stress at strain rates exceeding 104/sec. Some scatter in the data from these tests was observed. This was mostly due to some variations in the initial specimen diameter. Pure titanium presents a machining challenge for conventional equipment, when a tolerance of a thousandth of an inch is required. The scatter in Taylor cylinder data can be mitigated by conducting a large number of tests. However, in this case, many of the specimens that did not meet the criteria for success were discarded. Nevertheless, the results are very convincing.

Response and failure of fiber metal laminates subjected to high strain rate tensile loading

2018 ◽  
Vol 53 (11) ◽  
pp. 1489-1506 ◽  
Author(s):  
Ankush P Sharma ◽  
Sanan H Khan ◽  
Venkitanarayanan Parameswaran
Keyword(s):  
High Strain Rate ◽  
Strain Rate ◽  
Glass Fiber ◽  
High Speed ◽  
High Strain ◽  
Image Correlation ◽  
Fiber Metal Laminates ◽  
Rate Dependent ◽  
Dependent Behavior ◽  
Fiber Metal

The tensile behavior of fiber metal laminates consisting of layers of aluminum 2024-T3 alloy and glass fiber reinforced composites under high strain rate loading is investigated. Fiber metal laminates having four different layups, but all having the same total metal layer thickness, were fabricated using a combined hand lay-up cum vacuum bagging method. The fiber metal laminate specimens were loaded in high strain rate tension using a split Hopkinson tensile bar. The rate-dependent behavior of the glass fiber composite was also obtained as baseline data. The strain on the gage area of the specimen was measured directly using high-speed digital image correlation. Another high-speed camera was used to capture the sequence of damage by viewing the specimen edgewise. The results indicated that the strength of the fiber metal laminates increased at high strain rates primarily due to the rate-dependent behavior of the composite used. The response was also influenced by the distribution of the metallic layers in the fiber metal laminates. The failure in the case where the individual composite layers were separated by metallic layers was more progressive in nature.

scholarly journals Static and Impact-Dynamic Characterization of Multiphase TRIP Steels

2010 ◽  
Vol 638-642 ◽  
pp. 3585-3590 ◽  
Author(s):  
Joost Van Slycken ◽  
Jérémie Bouquerel ◽  
Patricia Verleysen ◽  
Kim Verbeken ◽  
Joris Degrieck ◽  
...  
Keyword(s):  
High Strain Rate ◽  
Strain Rate ◽  
High Strain ◽  
Material Behavior ◽  
Experimental Program ◽  
Dynamic Conditions ◽  
Split Hopkinson Tensile Bar ◽  
Rate Dependent ◽  
Study Results ◽  
Steel Grades

In this study, results are presented of an extensive experimental program to investigate the strain rate dependent mechanical properties of various Transformation Induced Plasticity (TRIP) steel grades. A split Hopkinson tensile bar setup was used for the high strain rate experiments and microstructural observation techniques such as LOM, SEM and EBSD revealed the mechanisms governing the observed behavior. With elevated testing temperatures and interrupted tensile experiments the material behavior and the austenite to martensite transformation is investigated. In dynamic conditions, the strain rate has limited influence on the material properties. Yet an important increase is noticed when comparing static to dynamic conditions. The differences in strength, elongation and energy absorption levels observed between the investigated materials can be attributed to their chemical composition. Adiabatic heating during high strain rate deformation tends to slow down the strain induced martensitic deformation. The elongation of the ferritic and austenite constituents is found to be strain rate dependent and the strain induced martensitic transformation occurs gradually in the material.

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