Vol.:(0123456789) 1 3
Journal of Dynamic Behavior of Materials
https://doi.org/10.1007/s40870-018-0144-8
Experimental Investigation of Strain Rate and Temperature Dependent
Response of an Epoxy Resin Undergoing Large Deformation
Sandeep Tamrakar
1,3
· Raja Ganesh
1,4
· Subramani Sockalingam
1,4,5
· Bazle Z. Haque
1,4
· John W. Gillespie Jr.
1,2,3,4
Received: 28 November 2017 / Accepted: 15 January 2018
© Society for Experimental Mechanics, Inc 2018
Abstract
Experimental investigation of the efect of strain rate and temperature on large inelastic deformation of an epoxy resin is
presented. Uniaxial compression tests were conducted on DER 353 epoxy resin at strain rates ranging from 0.001 to 12,000/s.
Experimental results showed signifcant rate sensitivity in yield stress, which increased from 85 MPa at 0.001/s to 220 MPa
at 12,000/s strain rate. Thermal softening became more prominent as the strain rate was increased, resulting in complete
absence of strain hardening at high strain rates. Rise in temperature under high strain rate, due to adiabatic heating, was esti-
mated to increase above glass transition temperature (T
g
). A series of compression tests carried out at temperatures ranging
from ambient to T
g
+ 80 °C showed yield stress vanishing at T
g
. Above T
g
, the epoxy became completely rubbery elastic at
quasi-static loading rate. Epoxy became less sensitive to strain rate as the temperature was increased further above T
g
. The
strain rate and temperature dependent yield behavior of the epoxy resin is predicted using Ree–Eyring model.
Keywords Epoxy resin · High strain rate · Large strain · Temperature · Eyring model
Introduction
Polymers and polymer composites are used extensively in
military applications. The response of a composite material
subjected to impact loading is dependent on the time and
temperature dependent properties of its constituents [1–4].
Dynamic loading of polymer composites is complex and
modeling and simulation tools such as explicit fnite ele-
ment (FE) models [5, 6] are used at various length scales
ranging from microscale to mesoscale to the continuum. At
all length scales, accurate strain rate dependent mechanical
properties of the materials are needed. Glass fber reinforced
epoxy composites are commonly used for ballistic protection
because of their high specifc strength, stifness and energy
dissipation capability [7]. Epoxy resin is one of the most
common thermosets used as the matrix in polymer compos-
ites because it ofers a balance of properties (mechanical
properties, resistance to environmental degradation, thermal
stability, etc.), and processablity (low viscosity, low pres-
sure and low cure temperatures). A wide range of glass fber
sizings for epoxy exists to promote wetting and adhesion
that allows interphase properties to be designed for ballistic
applications [7, 8].
During ballistic impact and penetration, a composite plate
is subjected to large through thickness compression strain and
high strain rate on the strike face and in-plane tensile strain
and intermediate tensile strain rates on the back surface [9].
The ballistic limit velocity (V
50
) of S-2 glass/epoxy composite
panels impacted by a steel projectile [9] with a panel thick-
ness in the range of 10–20 mm is about 360–540 m/s. Due to
the huge impedance mismatch between the composite plate
and a steel projectile, the particle velocity of the composite
underneath the impact is essentially the same as the striking
velocity of the projectile [10]. Based on the composite panel
thickness and the particle velocity, the average strain rate for
* Sandeep Tamrakar
tamrakar@udel.edu
1
Center for Composite Materials (UD-CCM), University
of Delaware, Newark, DE 19716, USA
2
Department of Materials Science & Engineering, University
of Delaware, Newark, DE 19716, USA
3
Department of Civil & Environmental Engineering,
University of Delaware, Newark, DE 19716, USA
4
Department of Mechanical Engineering, University
of Delaware, Newark, DE 19716, USA
5
Present Address: Smart State Center for Multifunctional
Materials and Structures, Department of Mechanical
Engineering, University of South Carolina, Columbia,
SC 29201, USA