Assessment of UMTS and averaged SED fracture criteria for U-notched
specimens
Hannelore Filipescu
1,a
, Cristiana Caplescu
1,b
and Niculai Pasca
1,c
1
”Politehnica” University of Timisoara, Victoriei Square no.2, 300006, Timisoara, Romania
a
hannelore.filipescu@yahoo.com,
b
cristinacaplescu@yahoo.com,
c
nicu_pasca21@yahoo.com
Keywords: notch fracture, UMTS and averaged SED criteria, polyurethane.
Abstract. A set of mixed-mode I/II fracture tests was carried out on a polyurethane material. Using
a single edge notched bend (SENB) type specimen, containing straight and respectively inclined U
notches, the full range from pure mode I to dominant mode II was achieved. Two different fracture
criteria were employed for the prediction of the fracture conditions: the UMTS criterion and the
averaged SED criterion. Using these two criteria a set of curves were derived in terms of the fracture
load vs. notch radius. The agreement between the experimental results and those predicted based on
these two criteria is discussed finally.
Introduction
Mixed-mode I/II brittle fracture occurs frequently in notched components weakened by sharp and
blunt notches. Therefore, brittle failure was studied theoretically using different fracture criteria.
Recently, a study of mixed-mode behaviour of two types of polyurethane materials based on MTS
and SED criteria was presented in [1].In this paper the mixed-mode fracture of a polyurethane
material is investigated using U-notched SENB specimens based on two criteria: UMTS criterion
proposed by Ayatollahi [2] and the averaged SED criterion developed by Gómez [3].
Experiments
The material chosen for the experimental program was the polyurethane Necuron 1020 used in
various industrial applications. The experiments were carried out at room temperature, the
polyurethane showing a linear elastic behaviour up to fracture [4]. The mechanical properties for
Necuron 1020 at room temperature are presented in Table 1. The elastic modulus E and the ultimate
tensile strength
u
were determined by tensile testing, the Poisson’s ratio was obtained using the
impulse excitation technique, and the mode I toughness K
Ic
was determined using SENB specimens,
according to ASTM D5045-99 requirements.
Table 1. Mechanical properties of the polyurethane Necuron 1020
MPa
E
MPa
σ
u
ν
m MPa
K
Ic
m MPa
K
) a
Ic
m MPa
K
) b
IIc
Necuron 1020 3340 49.75 0.34 2.30 2.24 2.45
a)
determined by extrapolating the experimental results, obtained on SENB U-notched specimens for mode I;
b)
determined by extrapolating the experimental results for dominant mode II (M
e
= 0.03).
The geometries of the SENB specimens are presented in Fig. 1. In order to achieve the full range
from pure mode I to mode II, two types of SENB specimens were investigated, as recommended in
[5]: beams with straight U-notches (Fig. 1a) and beams with tilted U-notches (Fig. 1b), for all the
specimens the thickness was 10 [mm]. To study the influence of the U-notch radius, four different
root radii were considered: 0.5, 0.75, 1 and 2 [mm]. The tests were performed under displacement
control at min mm 1 , on a Zwick testing machine with maximum force of 5 [kN]. The recorded
load-displacement curves were linear, without significant non-linearity, and the fracture occurred
Key Engineering Materials Vols. 577-578 (2014) pp 113-116
© (2014) Trans Tech Publications, Switzerland
doi:10.4028/www.scientific.net/KEM.577-578.113
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