Constitutive Modeling of Polymers Subjected to High Strain Rates

2001 ◽  
Author(s):  
Peter G. Martin ◽  
Jeff R. Crandall
Keyword(s):  
Constitutive Modeling ◽  
High Strain ◽  
Strain Rates ◽  
High Strain Rates

PRESSURE-SENSITIVITY AND CONSTITUTIVE MODELING OF AN ELASTOMER AT HIGH STRAIN RATES

2009 ◽  
Author(s):  
T. Jiao ◽  
R. J. Clifton ◽  
S. E. Grunschel ◽  
Mark Elert ◽  
Michael D. Furnish ◽  
...  
Keyword(s):  
Constitutive Modeling ◽  
High Strain ◽  
Strain Rates ◽  
Pressure Sensitivity ◽  
High Strain Rates

scholarly journals Ultra-High Strain Rate Constitutive Modeling of Pure Titanium Using Particle Impact Test

2020 ◽  
Vol 87 (9) ◽  
Author(s):  
Xuchen Wang ◽  
Mostafa Hassani
Keyword(s):  
Strain Rate ◽  
Constitutive Modeling ◽  
Impact Test ◽  
High Strain ◽  
Pure Titanium ◽  
Particle Impact ◽  
Strain Rates ◽  
Commercially Pure Titanium ◽  
High Strain Rates ◽  
High Deformation

Abstract With the advent of advanced testing techniques such as laser-induced particle impact test, it is possible to study materials mechanics under extremely high deformation rates, i.e., above 106 s−1, a relatively less explored regime of strain rates. Inspired by the classical Taylor impact test, in this study, we accelerate microparticles of commercially pure titanium to a range of impact velocities, from 144 to 428 m/s, toward a rigid substrate and record their deformation upon impact in real-time. We also conduct finite element modeling of the experimentally recorded impacts using two constitutive equations, namely, Johnson–Cook and Zerilli–Armstrong. We show that the titanium microparticles experience strain rates in the range of 106–1010 s−1 upon impact. We evaluate the capability of the Johnson–Cook and Zerilli–Armstrong equations in predicting the deformation response of pure Ti at ultra-high strain rates. With an optimization-based constitutive modeling approach, we also propose updated strain rate-related parameters for both equations and improve the extent to which the two models can describe the deformation of pure titanium at ultra-high strain rates.

Constitutive Modeling of Sea Ice

1987 ◽  
Vol 109 (2) ◽  
pp. 200-205
Author(s):  
V. Chen ◽  
E. S. Chen ◽  
V. Vivatrat
Keyword(s):  
Constitutive Modeling ◽  
High Strain ◽  
Constitutive Models ◽  
Strain Rates ◽  
Rate Dependency ◽  
High Strain Rates ◽  
Reliable Prediction ◽  
Softening Behavior ◽  
Analytical Work ◽  
Ice Loads

Realistic constitutive models for ice are necessary for reliable prediction of ice loads and ice-structure interaction. Previous analytical work has tended to concentrate on ice behavior at low strain rates. Under high strain rates, the post peak softening behavior becomes more important than rate-dependency. This paper proposes a new constitutive model for ice under high strain rates, incorporating strain softening and pressure sensitivity. In its present form, the model is incrementally linear and can be easily implemented in a finite element computer program to solve monotonic loading problems.

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