2018 - Timothy E. Frank
2018 - Timothy E. Frank
Abstract: Steel-reinforced engineered cementitious composite (ECC) members have demonstrated enhanced seismic performance in struc-
tural components and systems such as coupling beams, infill panels, joints, columns, and beams. Because a large pulse in a deformation
Downloaded from ascelibrary.org by HQ USAFA/DFLIB/SER on 02/21/22. Copyright ASCE. For personal use only; all rights reserved.
history may cause fiber pullout within the ECC and alter material-level behavior, the response of reinforced ECC components subjected to
deformation histories that contain initial pulses are of particular interest. Reinforced ECC beams of various steel reinforcement ratios and
reinforcing bar sizes were experimentally subjected to one of three deformation histories. The presence and size of initial deformation pulses
affected cracking, strain development in the steel reinforcement, and hysteretic response, while the failure mode of the specimens was con-
sistently fracture of the steel reinforcing bars. Reductions in steel reinforcement strain caused by bond degradation at the steel–ECC interface
facilitated, in general, no change in ultimate structural ductility between similar specimens, regardless of deformation history, except spec-
imens containing the lowest steel reinforcement ratio, 0.73% in flexure, which had a comparatively high bond capacity relative to the bond
demand at the steel–ECC interface. DOI: 10.1061/(ASCE)ST.1943-541X.0002034. © 2018 American Society of Civil Engineers.
Author keywords: Engineered cementitious composite (ECC); Cyclic deformation history; Deformation pulse; Structural ductility;
Steel reinforcement strain.
Introduction Chompreda 2007; Yuan et al. 2012). However, the effect of defor-
mation history on reinforced ECC specimens is unclear due to lack
Engineered cementitious composite (ECC) is a class of high- of test data.
performance fiber-reinforced cement-based composite (HPFRCC) In two separate studies of reinforced HPFRCC infill panels with
materials containing a low volume fraction (typically 2% by vol- steel fibers, one was subjected to a monotonically increasing defor-
ume) of polymeric fibers in a mortar mixture. ECC has the ability to mation history (Hanson and Billington 2009) and others were in-
pseudo strain harden under uniaxial tension, and on a microscale stalled on a steel moment frame and subjected to recorded ground
ECC materials form multiple microcracks when strained (Maalej motions records (Lignos et al. 2014). Results showed the cracking
and Li 1995). On a mesoscale, ECC materials behave like an elasto- patterns within the HPFRCC materials between infill panels were
plastic solid due to fiber bridging across the microcracks, which significantly different. These differences could be attributed to de-
facilitates specimen ductility. ECC specimens of various sizes, formation history, fiber properties, mortar mixture designs, or age
shapes, and mix designs achieve specimen strains between 0.25 of specimens. In a pilot study of steel-reinforced ECC beams, also
and 5% under uniaxial tension (Douglas and Billington 2010; reported herein, Frank et al. (2015) found differences were ob-
Kanda and Li 1999; Maalej et al. 1995; Mechtcherine et al. 2011). served in the cracking pattern and strain accumulation in the steel
ECC has been proposed for a number of different structural reinforcement when specimens were subjected to different defor-
applications, including improving performance under seismic load- mation histories. The results of the pilot study warranted further
ing (Li and Kanda 1998). In seismic research, quasi-static cyclic exploration using a larger specimen sample size.
tests are conducted on structural components to gain a better The goal of the research presented herein is to understand how
understanding of response to seismic loads. It is common to use the response of reinforced ECC beams changes as reinforcement
a cyclic deformation history that begins with small, elastic cycles; ratio and bar layout vary when experimentally subjected to one
the cyclic amplitude typically increases every one to three cycles, of three different deformation histories. Varying reinforcement ra-
and cycles are imposed on the component until a predetermined fail- tios are of interest because as the steel reinforcement ratio in a
ure criterion is reached (Fischer and Li 2002; Parra-Montesinos and reinforced ECC flexural member decreases, the tensile strain at
the extreme fiber will increase at a given curvature. A beam with
1
Civil Engineer, Headquarters Air Force, 1260 Air Force Pentagon, a smaller reinforcement ratio exhibits larger tensile strain in the
Washington, DC 20330 (corresponding author). E-mail: timothy.frank@ extreme tensile fiber and a smaller area over which compression
us.af.mil acts than a beam with a larger reinforcement ratio. Larger tensile
2
Associate Professor, Dept. of Civil and Environmental Engineering, strains are expected to lead to fiber pullout or rupture at lower drifts,
Stanford Univ., Environment and Energy Bldg., 473 Via Ortega, Stanford, causing earlier strain localization in the steel reinforcement in a
CA 94305. E-mail: mlepech@stanford.edu reinforced ECC beam with a lower reinforcement ratio when com-
3
Professor, Dept. of Civil and Environmental Engineering, Stanford pared with a higher reinforcement ratio. In previous experiments,
Univ., Environment and Energy Bldg., 473 Via Ortega, Stanford, CA
flexural testing of reinforced ECC beams of various steel reinforce-
94305. E-mail: billingt@stanford.edu
Note. This manuscript was submitted on July 8, 2017; approved on ment ratios showed the number of flexural and splitting cracks re-
November 7, 2017; published online on March 30, 2018. Discussion duced as steel reinforcement ratio reduced (Bandelt and Billington
period open until August 30, 2018; separate discussions must be submitted 2016). The lack of distributed cracking in reinforced ECC beams
for individual papers. This paper is part of the Journal of Structural with comparatively low steel reinforcement ratios indicated the
Engineering, © ASCE, ISSN 0733-9445. high tensile strain at the extreme fiber was concentrated near
ECC-1.3-SP 1.3 13 2 Small pulse trol, but smaller bar spacing provides less confinement around the
ECC-1.3-LP 1.3 13 2 Large pulse bars. Due to a stronger bond between steel and the mortar matrix,
ECC-1.4-F 1.4 13 3 FEMA 461 steel-reinforced strain-hardening cementitious composite materials
ECC-1.4-SP 1.4 13 3 Small pulse require less bar spacing than steel-reinforced concrete (Kanakubo
ECC-1.4-LP 1.4 13 3 Large pulse and Hosoya 2015), but less confinement may facilitate interbar
ECC-1.5-F 1.5 16 2 FEMA 461 splitting, which would reduce bond strength and affect specimen
ECC-1.5-SP 1.5 16 2 Small pulse response. Other important seismic response parameters of struc-
ECC-1.5-LP 1.5 16 2 Large pulse tural beams, for example, shear span to depth ratio, were not ex-
perimental variables in this study.
the critical cross section. The result of high tensile strain at the criti-
cal cross section was that ECC beams reinforced to 0.70% steel Experimental Program
reinforcement ratio or less failed by reinforcement fracture at
low ultimate drifts, from 3 to 5%, relative to beams with higher Specimen Geometry and Instrumentation
reinforcement ratios (Bandelt and Billington 2016).
The second variable of interest is reinforcing bar diameter, along Flexurally dominant ECC cantilever beam specimens were selected
with steel reinforcement ratio. Both affect bond to the surrounding for this study. Eighteen specimens were monolithically cast with
ECC. The ratio of total reinforcing bar perimeter to total cross- an enlarged base to represent the half-span of a beam framing
sectional area is a function of the reinforcing bar diameter, db into a column. The naming convention of each specimen includes
[Eq. (1)] information about the material (ECC), the steel reinforcement
ratio (one of six values between 0.73 and 1.5%), and the applied
PNumber of bars deformation history (Table 1). In all specimens, the longitudinal
barperimeter πdb 4
¼ PNumber
i¼1
2
≡ ð1Þ reinforcement was mild deformed steel bars, and the transverse
bararea i¼1
of bars
πd b =4 d b reinforcement was smooth steel wire. The specimens were cast
in one of two sizes. Six specimens were cast per Geometry A
As reinforcement ratio increases due to increased reinforcing [Fig. 1(a)], and had a flexural cross section of 127 × 178 mm. Clear
bar diameter, the ratio of total bar perimeter to total steel cross- cover to the longitudinal bars was 1.9 cm. Stirrups were spaced
sectional area decreases. For a constant reinforcement ratio, as 75 mm apart throughout the beam and into the joint. Symmetric
Fig. 1. (a) Geometry A and (b) Geometry B used to cast reinforced ECC beams
Drift (%)
-20
(b) Cycles
expected in structures within 20–30 km of a fault wherein a
20
forward-directivity rupture produces a velocity pulse at the begin-
ning of the time history (Baker and Cornell 2008; Sehhati et al.
10
2011). The deformation pulses were expected to initiate crack
Drift (%)
tensile strains in the specimens with a moderate steel reinforcement earthquake inspections.
ratio would be lower at a given drift due to the neutral axis position
being closer to the extreme tensile fiber than less reinforced spec- Reinforcement Strain
imens. Lower tensile strains at a given drift delayed crack formation
until larger drifts. In specimens subjected to the SP deformation Reinforcement Strain Evolution
history, it was seldom that new cracks formed after completion Strain in the steel reinforcement was measured at six locations
of the initial pulses, to 2 or 2.5% drift. The small initial pulses in each specimen by strain gauges attached to reinforcing bars
led to the formation of a dominant crack and some softening. [Figs. 1(a and b)]. During testing of all 18 specimens, the strain
Müller et al. (2015) conjectured that polymeric fibers get damaged in four of those locations (5 cm above and 5 cm below the joint
through abrasion and crushing, and lose tensile strength during face on both sides of the specimen) exceeded yield strain, while
cyclic loading. In specimens subjected to two small initial pulses, strain in the steel located 15 cm above the joint peaked at or near
fibers began to pull out along some portions of the dominant crack yield strain through the drift at which the strain gauges failed.
during the initial pulses. It is believed that the exposed portion of Figs. 3(a–f) show the envelopes of strain in the steel reinforcement
the fibers were damaged during the loading cycles that followed the at the peak of each tension excursion recorded 5 cm above and 5 cm
initial pulses leading up to the cycles that exceeded the initial pulse below the joint face on both sides of six select specimens up until
amplitude. Damaged fibers were less able to transfer stress across strain gauge failure. Additional reinforcement strain evolution re-
the dominant crack. With a diminished ability to transfer stress sults are shown in Frank (2017). For reference, the strain envelopes
across the dominant crack, specimens subjected to the SP deforma- are plotted over the completed portion of the deformation history
tion history had softened more than specimens subjected to the up until specimen failure.
FEMA deformation history at a given drift. Because fiber integrity In specimens subjected to the FEMA deformation history,
was believed to be the root cause of the difference in mean drift at the reinforcement remained elastic through the first several cycles.
which the last new flexural crack formed between specimens sub- Upon yield, strain in the steel reinforcement increased rapidly
jected to the FEMA and SP deformation histories, this observation within the first excursion inducing yield, then typically increased
would not be expected when comparing reinforced concrete spec- gradually as drift increased during subsequent cycles as the bar
imens subjected to deformation histories with and without small hardened. When comparing strain in the steel across specimens
initial pulses. at the same level of drift and subjected to the same deformation
The second significant difference in observed cracking was history, strain was generally greater in specimens with a lower steel
between specimens subjected to the FEMA deformation history reinforcement ratio, as expected. In particular, strain in the steel
and those subjected to the LP deformation history. The width of reinforcement was greater when the reinforcement ratio was lower
the dominant crack was significantly larger (6.9 mm) in specimens by way of smaller reinforcing bars, or in other words, when the
subjected to the LP deformation history than those subjected to the ratio of bond capacity to bond demand was greater. For example,
FEMA deformation history (5.2 cm) at the drift used for compari- the peak recorded strain in ECC-0.95-F (two 13-mm bars per side)
son (6.1% drift). While this difference was observed in specimens at the first positive excursion to 6.1% drift was 6.0% [Fig. 3(a)],
with both lower and moderate steel reinforcement ratios, the sig- whereas the peak strain in ECC-1.5-F (two 16-mm bars per side)
nificant difference was primarily driven by specimens with a lower was 3.5% [Fig. 3(b)].
steel reinforcement ratio. Specimens with a lower steel reinforce- In specimens subjected to the SP deformation history, steel
ment ratio yielded at lower drifts due to the greater tensile strain in reinforcement strain increased during the initial pulses, then peak
the extreme fiber, as expected, compared to specimens with a mod- tensile strain reduced during cycles whose amplitudes were smaller
erate steel reinforcement ratio. The observation that reinforced than that of the initial pulses. As amplitude approached and
ECC specimens subjected to the LP deformation history formed increased beyond that of the initial pulses, strain in the steel
a wider dominant crack than those subjected to the FEMA defor- reinforcement increased again. One strain gauge in ECC-1.3-SP
mation history may not carry over to observations of reinforced and two strain gauges in ECC-1.4-SP did not increase once cyclic
concrete specimens subjected to deformation histories with and amplitude exceeded that of the initial pulses [Figs. 3(c and d)].
without initial pulses because several wide cracks would be ex- Rather, strain at these locations decreased. Steel strain increases
pected to form in the concrete specimens, whereas only one crack and reductions due to the cyclic nature of the loading wherein
wider than 0.1 mm occurred per ECC specimen. the steel reinforcing bars alternate from tension to compression
Final cracking patterns between reinforced ECC specimens are an expected response, and thus these intracycle fluctuations
subjected to different deformation histories can be found in are not documented in Figs. 3(a–f).
Frank (2017). While final cracking patterns appeared similar, as In this paper, steel strain reductions refer to an incident of de-
did the average number of cracks, steel reinforcement ratio creasing strain in the steel reinforcement while the reinforcing bar
and deformation history affected the fibers bridging the cracks is in tension and the drift is increasing within or between cycles.
Fig. 3. Strain in the steel reinforcing bars of (a) ECC-0.95-F; (b) ECC-1.5-F; (c) ECC-1.3-SP; (d) ECC-1.4-SP; (e) ECC-1.3-LP; (f) ECC-1.4-LP
recorded by four strain gauges per specimen up until strain gauge failure
Both of the aforementioned specimens that experienced strain re- these results, however, is that the largest recorded steel reinforcing
ductions in the steel reinforcement were among the moderate steel bar strains at a given drift were recorded in reinforced ECC spec-
reinforcement ratio subgroup in this study. Their relatively large imens subjected to the FEMA deformation history, and not those
cross-sectional area of steel generated a high bond demand at subjected to a deformation history containing initial pulses. Further,
the steel–ECC interface, which caused the steel to debond from specimens with a lower steel reinforcement ratio tended to have
the ECC. This debonding led to the reduction in reinforcement higher recorded strain in the steel reinforcement at a given drift.
strain that was observed in Specimens ECC-1.3-SP and ECC- When fracture of the reinforcement is the design failure mode
1.4-SP. of a reinforced ECC specimen, a deformation history containing
Most of the strain gauges in specimens subjected to the LP monotonically increasing cyclic steps may produce more severe
deformation history failed during the first pulse, with the exception loading conditions due to the higher expected accumulation of
of the three reinforced ECC specimens with steel reinforcement strain in the steel reinforcement. Without a priori information of
ratios of 1.3, 1.4, and 1.5%. While gauges in ECC-1.4-LP and what type of deformation history is expected in the field, monoton-
ECC-1.5-LP remained functional beyond the two initial pulses, ically increasing cycles in an experimental protocol should be a
strain reduced because cyclic amplitudes were smaller than that conservative approach to testing steel-reinforced ECC building
of the initial pulses [e.g., Fig. 3(f)]. As amplitude increased to levels components.
near to and above 7% drift, strain in the steel reinforcement in-
creased in ECC-1.4-LP. In contrast, strain at two locations in Reinforcement Strain Reduction
ECC-1.3-LP rose with drift, then abruptly reduced during the initial In general, during the 18 experimental tests in this study, strain in
pulses as a splitting crack opened beyond 0.5 mm wide [Fig. 3(e)]. the tensile steel reinforcement increased with each tensile excursion
Strain remained relatively low throughout the remainder of the data and decreased with each compressive excursion. Throughout the
collected and did not increase, even as drift exceeded the amplitude deformation history, strain at the peak of each tensile excursion
of the initial pulses. It is believed the splitting crack that grew more generally grew larger as the increases during tensile excursions out-
than 0.5 mm wide increased the length of reinforcement debonded paced the decreases during each compressive excursion. Given the
from the ECC material. Larger debonded lengths from splitting direct relationship between increasing strain in the steel reinforce-
cracks led to decreased strain in the steel reinforcement in previous ment and reinforcing bar fracture, reductions in steel reinforcement
experiments as well (Moreno et al. 2014). strain wherein strain at the peak of each tensile excursion decreased
Due to strain gauge failure before the conclusion of testing in as drift increased were expected to delay specimen failure.
many specimens, drawing robust conclusions about the effects of Because growth in splitting crack width occurred simultane-
deformation history, steel reinforcement ratio, or reinforcing bar ously with reductions in strain in the steel reinforcement of
size on strain in the steel reinforcement is difficult. The trend in ECC-1.3-LP, a detailed investigation into the relationship between
observed splitting cracks in the ECC and strain gauge reductions reinforcement strain 5 cm above the joint face in ECC-1.3-LP
was performed. Within the 18 specimens in this study, 90 bars were reduced from a peak of 0.80% strain to 0.38% abruptly within
used for longitudinal reinforcement. Splitting cracks were observed the first pulse to 7% drift. Destructive posttest visual inspections
in the ECC near 78 of the 90 (87%) bars. Splitting cracks that grew of Specimens ECC-0.73-SP and ECC-1.3-F revealed abrasion on
Downloaded from ascelibrary.org by HQ USAFA/DFLIB/SER on 02/21/22. Copyright ASCE. For personal use only; all rights reserved.
to at least 0.5 mm wide, indicative of potential loss of fiber bridging the ECC, indicating interface crushing occurred, further reinforcing
strength per observations of ECC-1.3-LP, were observed in the hypothesis that the physical mechanism of crushing of the ECC
the ECC near 41 of the 90 (46%) of the bars. As described in at the steel reinforcing bar interface is associated with the FEMA
“Specimen Geometry and Instrumentation,” on 36 of the bars and SP deformation histories.
across the 18 specimens, a total of 72 strain gauges were placed
within 5 cm of the joint face. Reductions in steel strain as measured
by a strain gauge within 5 cm of the joint face were recorded by 13 Hysteretic Response
strain gauges. However, instances of strain reductions were not Fig. 4 shows the hysteretic response of six select reinforced ECC
correlated with the presence or size of splitting cracks (Table 5). specimens. Additional hysteretic responses are shown in Frank
When reductions in reinforcement strain were observed, spec- (2017). Observations of splitting cracks at least 0.5 mm wide,
imens subjected to the FEMA and SP deformation histories typi- crushing, and spalling on both sides of the specimen, as applicable,
cally experienced strain reductions prior to the formation of are indicated.
splitting cracks. In contrast, specimens subjected to the LP defor- As expected, peak specimen strength increased with steel
mation history typically experienced reductions in the steel strain as reinforcement ratio due to the additional tensile strength provided
splitting cracks first formed or as splitting crack widths were ac- by the increased longitudinal steel. Each of the six specimens sub-
tively increasing. These data suggest that drawing robust conclu- jected to the FEMA deformation history failed by fracture of the
sions on the level of strain in the steel reinforcement, including steel reinforcement. As previously noted, greater steel strain was
whether a localized strain reduction has occurred, is difficult by generally observed in specimens with a lower steel reinforcement
visual inspection of splitting cracks in the ECC near the reinforcing ratio. The increase in strain directly resulted in a reduction in
bars alone. Two possible causes for the observations presented in ultimate drift in specimens with a lower (0.73–1.0%) steel
Table 5 are discussed next. reinforcement ratio when compared to specimens with a moderate
(1.3–1.5%) steel reinforcement ratio. Ultimate drift ranged from
Reinforcement Strain Reduction Mechanisms 12% drift for the four specimens with the four lowest reinforcement
Two physical mechanisms leading to reduction in strain in the steel ratios (0.73–1.3%) to 17% drift for the two specimens with the two
reinforcement are hypothesized. With the LP deformation history, highest steel reinforcement ratios (1.4–1.5%). The trend of higher
splitting cracks were present in four of four incidents of observed ultimate drift in reinforced ECC specimens with a greater steel
strain reduction (Table 5); it is hypothesized that splitting was the reinforcement ratio is in agreement with findings in Bandelt and
dominant mechanism by which strain reduction occurred. Because Billington (2016).
three of four instances of observed reductions in steel strain that The peak strength of specimens subjected to the SP deformation
occurred during the FEMA deformation history and five of five in- history often occurred during the first positive excursion to 2 or
stances that occurred during the SP deformation history happened 2.5% drift, when the compression side of the specimen was undam-
prior to splitting cracks (Table 5), interface crushing is the pre- aged from previous cycles [Figs. 4(c and d)]. In general, hysteretic
sumed mechanism. This hypothesis is consistent with results from response was very similar between specimens subjected to the
Bandelt and Billington (2014), who also posited an increase in in- FEMA deformation history and those subjected to the SP deforma-
terface crushing in reinforced ECC beam-end specimens when sub- tion history, indicating that despite partial material softening within
jected to cyclic loading, using a protocol similar to the FEMA the first two cycles of specimens subjected to the SP deformation
deformation history, relative to specimens subjected to monotonic history, hysteretic response, as a whole, was not greatly affected.
loading. The small initial pulses of the SP deformation history did In all six specimens subjected to the LP deformation history, the
not alter the strain reduction mechanism from that of specimens peak strength occurred during the first positive excursion when the
subjected to the FEMA deformation history. compression side of the specimen was undamaged from previous
Characterization of the reinforcement strain reductions provided cycles [e.g., Figs. 4(e and f)]. Crushing was observed in four of
evidence that the mechanisms that caused strain reductions were the six specimens during the first large pulse, but did not lead
correlated to the deformation history. Strain reductions during to abrupt failure. The ability of the ECC to resist or delay spalling
the FEMA or SP deformation histories occurred somewhat gradu- despite some crushing during initial deformation pulses sustained
ally over several cycles. For example, reinforcement strain 5 cm confinement to the steel reinforcing bars and facilitated a hysteretic
below the joint face in ECC-1.3-SP reduced from a peak steel strain envelope similar to that of specimens subjected to the FEMA and
of 1.2 to 0.16% over 22 cycles from the first 2.5% pulse to the first SP deformation histories.
cycle to 6.1% drift. The rate of strain reduction during the LP de- Fig. 5 shows ultimate drift of 16 out of the 18 reinforced ECC
formation history was higher. Reduction in reinforcement strain specimens in this study that failed due to fracture of the steel
from peak steel strain to the strain at the first tensile excursion after reinforcement without significant joint damage; ECC-1.3-SP,
strain reduction initiated was, on average, 53%. For example, which experienced significant joint damage, and ECC-1.4-LP,
Fig. 4. Hysteresis curves of select reinforced ECC specimens: (a) ECC-0.73-F; (b) ECC-1.5-F; (c) ECC-0.73-SP; (d) ECC-1.5-SP; (e) ECC-0.73-LP;
(f) ECC-1.5-LP
which failed due to crushing, are omitted. When comparing ulti- amplitude for steel reinforcement ratios from 0.95 to 1.0% or from
mate drift between the six specimens subjected to the FEMA 1.3 to 1.5%. Despite complete fiber rupture or pullout at the loca-
deformation history with the five specimens subjected to the SP tion of the dominant crack during the first cycle in all reinforced
deformation history or the five specimens subjected to the LP ECC specimens subjected to the LP deformation history, in general,
deformation history, in general, there was no significant difference. specimen ductility was not affected relative to that of nominally
Nearly horizontal trendlines of the data grouped by steel reinforce- identical specimens subjected to the FEMA deformation history.
ment ratio indicate no trend in ultimate drift with the initial pulse Indifference of reinforced ECC flexural member ductility to various
deformation histories was unexpected, but can be explained by the
18 ability of the ECC to tolerate significant damage in compression
15 while confining the reinforcing bars and the cementitious core re-
Ultimate Drift (%)