- Open Access
- Total Downloads : 70
- Authors : Dr. Steve Efe, Dr. Monique Head
- Paper ID : IJERTV6IS040607
- Volume & Issue : Volume 06, Issue 04 (April 2017)
- Published (First Online): 27-04-2017
- ISSN (Online) : 2278-0181
- Publisher Name : IJERT
- License: This work is licensed under a Creative Commons Attribution 4.0 International License
Enhanced Performance of an Aramid Fiber Reinforced Polymer Reinforced (AFRP) Column with Plug and Play (PnP) Dissipater
Steve Efe (D.Eng.); Monique Head (Ph.D.)
Department of Civil Engineering,
Morgan State University, Baltimore, United States
Abstract-Fiber-reinforced polymer (FRP) bars gained acceptance in the construction market as a viable substitute for conventional steel bars as internal reinforcement in concrete structures. Barriers however existed in its applications where local buckling may occur relatively at low stress levels. The premature rupture and failure of FRP bars in compression members is as a result of their typically low flexural rigidity. This paper studies the response of a performance-enhanced Aramid FRP reinforced concrete column utilizing a plug-and-play connection with dissipaters to ensure elastic behavior under cyclic load and concentrating damage to the plug and play (PnP) dissipater. This paper is part of a larger numerical and experimental investigation to develop and validate design methods for a rocking AFRP reinforced concrete column. The numerical study consists of five columns, subjected to axial load followed by cyclic lateral load up to failure and analyzed using the Extreme Loading for Structures (ELS) software. Ductility and energy dissipation gains of the enhanced AFRP RC columns were compared to the conventionally reinforced column, and the influence of longitudinal bar ratio, dissipater sizes and tie spacing were investigated. Results show improve performance of the plug-and-play AFRP columns under cyclic load.
Keywords: Aramid fiber reinforced polymer (AFRP) reinforced column; Plug-and play dissipater; Controlled rocking; Cyclic analysis; Numerical analysis.
INTRODUCTION
Bridge substructures are the most seismically susceptible during earthquake since they provide the load- resisting capacity of the bridge structural systems. Following a major earthquake, it is highly likely that bridge columns have undergone large lateral displacements necessitating replacement of the bridge structure. Research efforts have therefore been directed in recent years to the development of innovative materials, detailing and design concepts to improve bridge column damage-tolerance, post-earthquake serviceability, and to reduce eventual cost of repair. While past research have considered practical alternatives such as seismic isolation, lap splice connection, etc. to conventional seismic strengthening in minimizing potential damage, their ability to accommodate large displacement and reliability under conditions of large and repeated cyclic loading to inelastic range are of concern.
Significant effort has been dedicated in the past few years towards the development of self-centering and cost-efficient rocking connections to achieve low damage systems. 10 Recently, several construction details of
unbonded post-tensioned tendons in bridge columns have been investigated to mitigate residual displacement and reduce damage caused by an earthquake. 4,9,7,16 Although these connections allow the use of modular systems, little focus has been given to the possibility of inspecting and, if necessary, replacing the tendons. Since damage is expected in the plastic hinge regions leading to substantial costs of repairing and business interruption, a controlled rocking with dissipative mechanism which allows easy mounting and replaceability of structural fuses after an earthquake event is needed to be considered before implementation. This paper examines the performance of the external rocking connection in improving the response of AFRP RC columns and limiting the longitudinal reinforcing bars strain demands.
AFRP materials due to their favorable mechanical and durability characteristics have gained permanent and growing share in the construction market with current emphasis on strengthening of RC members. Regardless, there is scarcity of relevant research outcomes and experimental evidence on their application and behavior as internal reinforcement in compression members. This is reinforced by the lack of reliable information provided by codes and specification such as ACI 440.1R-062 due to the brittle behavior and anisotropic nature of FRPs. To compensate for the lack of ductility in FRP bars required at the structural level in order to achieve satisfactory structural performance in compression members, the strain demands can be limited and margin of safety against FRP bars rupture can be greatly increased by allowing the member to respond elastically and ensuring stress transfer to sacrificial members.
In this paper, in order to work towards a more resilient RC column reinforced with AFRP bars that sustains little or no damage, the columns are made to respond elastically through gap opening mechanism and damage are concentrated into the PnP dissipaters. The entire column which houses the cost-efficient dissipaters have the potential to rock on its base, enabling it to survive damaging loads provided the structure does not lose its stability and overturn during the repeated cycle of loading. This PnP dissipater limits the strain demand in the AFRP reinforcing bars and also protects them from premature rupturing when the gap opens up to the design level of drift. This behavior differs from the associated damage of a conventionally reinforced column which dissipates energy
through yielding of reinforcing steel and crushing of concrete at the base of the column. The inclusion of AFRP bar as the primary longitudinal reinforcement seeks to address the deeply rooted corrosion problems in reinforced concrete (RC) bridge structures that prompt millions of dollars being spent yearly in the United States on rehabilitation projects.
LITERATURE REVIEW
A new seismic design and construction philosophy called Damage Avoidance Design or (DAD) was proposed to force damage to occur only in replaceable fuses in order to protect the structural system7. The investigated bridge piers were designed to rock at the top and bottom of the pier columns under lateral loading. Their finding showed that the steel armoring at the pier end zones effectively prevented premature damage to the pier.
The effectiveness of the use of post-tensioned (PT) tendon for damage-control and seismic energy dissipation has been demonstrated in precast concrete structural systems.4,5,6,11,3 The concept is geared towards minimizing inelastic demands on the primary structure, the amount of damage needed for speedy repairs and closure time of bridges. The high-strength PT tendons are intentionally unbonded to the concrete, mostly over the column entire length, and are connected to the structures only at end anchorages. This ensures uniform distribution of tendon strains, which significantly delays yielding of the tendons, eliminates tensile stress transfer to the concrete as the strands elongate under lateral loading, thus reducing concrete cracking. As compared with conventional reinforced concrete structures, unbonded post-tensioned concrete structures offer self-centering capability and ability to undergo large non-linear lateral displacements without damage.
Numerical Analysis The Column Models
Five (5) column specimens similar to Tobbi et al. (2012) of 13.78 x 13.78 in. (350 x 350 mm) cross-sections were considered in this numerical study to investigate the
effect of longitudinal bar ratio, tie spacing, and PnP dissipater on the overall response under cyclic loading12. The material properties of components of the rocking columns are shown in Table 1. Specimen C1-S5N10 without the rocking connection is a steel reinforced columns having 1 longitudinal bar ratio. C2-S5N10 and C4-S5N15 are conventionally reinforced with AFRP bars (1.0% and 1.5% respectively) without the PnP dissipater. C3-S5N10 and C5-S2N10 have discontinued longitudinal FRP bars at the column-footing interface and varying PnP dissipater sizes of 5 inches and 2 inches respectively. The description of the column specimen is shown in Table 3.
The Transverse and Longitudinal Reinforcement
The AFRP bar used for the transverse and longitudinal is a technora rod made up of bundles of aramid fibres impregnated with vinylester resin. In the numerical study, it is assumed that there exist mechanical bond generated between the rod and the concrete.
The PnP dissipater
The PnP dissipater are made of mild steel bars consist of a yielding circular steel core inserted in an outer hollow steel tube to prevent the local buckling of the yielding core when in compression.. The PnP dissipater of total length of 56 inches (Figure 2) are fabricated out of 0.5 in (12.7 mm) mild steel (Grade300) plain bars while the buckling restraining tube are 1 in (25.4 mm) in diameter as shown in Table 2.
The Rocking Connection Interface
The column-footing interface has two steel plates sandwiched as shown in Figure 1. The bottom steel plate (a), which is seated on the top of the reinforcement of the footing, has a dimension of (27.6 x 27x 2 inches) 700x700x 50mm with a square hole, 510x510x64 mm at the middle to receive plate B, (20 x 20 x 2 inches) 500 x 500 x50 mm to act as a shear key to prevent the shoe block sliding under lateral loads. Concrete compression strength of the concrete cylinders, having152.4 mm diameter and 304.8 mm height, was measured to be = 4.7 ksi (32.4 N/m2).
Table 1. Mechanical properties of concrete, AFP bars and steel.
Parameters |
Mechanical properties of concrete |
Confined Concrete |
|
28-day compressive strength ksi (MPa) |
4.7 (32.4) |
||
Elastic Modulus ksi (MPa) |
3920 (27,028) |
||
Crushing Strain Yield Strain |
17.8 E-3 2.3E-3 |
||
Mechan |
ical properties of AFRP (Technora rod) rei |
nforcement |
|
Tensile Strength ksi (MPa) |
203 (1400) |
||
Elastic Modulus ksi (MPa) |
10000 (68950) |
||
Ultimate Tensile Strain |
0.0203 |
||
Ultimate Compressive Strain |
7.2E-3 |
||
Steel Material and Grade |
Mechanical properties of steel A615 Grade 60 |
A615 Grade 40 |
|
Yield Stress ksi (MPa) |
60 (413.68) |
40 (275.79) |
|
Fracture Stress, ksi (MPa) |
90 (620.52) |
70 (482.63) |
|
Failure Strain |
0.15 |
0.14 |
|
Elastic Modulus ksi (GPa) |
29E+3 (200) |
29E+3 (200) |
Table 2. PnP disspater details
PnP dissipater details
Parameters Confined Concrete
Dissipater size in. (mm) 0.5 (12.7)
Buckling restraining tube size in. (mm) 1 (25.4) Yielding Stress ksi (MPa) 270 (1860)
Initial Stress ksi (MPa) 90 (620.5)
Grade of Steel Mild Steel
Modeling
The modeling and analysis was carried out in the 3-D environment of Extreme Loading Software (©ELS), an advanced structural analysis software package that uses Applied Element Method (AEM) to track structural collapse behavior. The program is capable of predicting the large displacement behavior of 2D and 3D structures under static and dynamic loads, taking into account geometric nonlinearities and the effect of material inelasticity. To a high degree of accuracy, ELS enables proper understanding of the materials behavior from elastic to plastic stages including cracking, large displacements, reinforcement yielding, complete element separation and collapse. ELS has pre-defined styles with linear and nonlinear materials models which could be modified to suit the composition of the controlled rocking column system. Each section of the columns consists of a number of concrete and reinforcement fibers, as shown in Figure 1. The concrete
fibers represent the confined (core) concrete ( = 460 fibers) and the unconfined cover concrete ( =296 fibers) of the column. The steel or AFRP fibers represent the longitudinal reinforcement. The confined, core concrete has a higher maximum compressive strength and reduces to a lower strength as the strain increases, representative of the strength of the confined core after the cover has spalled off. The unconfined cover concrete decreases to zero stress once the cover cracks and spalls because it can no longer carry any load. The 8-node regular hexahedron elements were used to model the column, load cap and foundation, while the reinforcement bars and stirrups were adequately captured using the softwares modified custom reinforcement, and the energy dissipaters using ELS link element housed in a duct and spans between two end plates as shown in Figure 1.
Table 3. Column Description
Specimen ID |
Long. Bar Type |
Long Bar Continuity |
Tie Bar Type |
Percentage Long. Reinf. Bar (%) |
Tie spacing (mm) |
C1-S5N10 |
Steel |
YES |
Steel |
1.0 |
127 |
C2-S5N10 |
AFRP |
YES |
AFRP |
1.0 |
127 |
C3-S5N10 |
AFRP |
NO |
FRP |
1.0 |
127 |
C4-S5N15 |
AFRP |
YES |
FRP |
1.5 |
127 |
C5-S2N10 |
AFRP |
NO |
FRP |
1.0 |
50.8 |
Table 4: Parametric Study |
|||
No. |
Specimens |
Parameters studied |
|
1 |
C1-S5N10 |
Steel columns without dissipater |
|
2 |
C4-S5N15 |
AFRP Column with 2% Percentage of longitudinal bar |
|
3 |
C5-S2N10 |
AFRP RC with dissipater with reduced tie spacing |
|
4 |
C2-S5N10 |
AFRP RC without dissipater |
|
5 |
C3-S5N10 |
AFRP RC reinforced columns with dissipater |
Due to the anticipated stress concentration and crack spacing at the plastic hinge zone, a smaller mesh-size (halved) compared to other areas was used for the shoe block. Translational degrees of freedom in the x, y and z global axes directions of the elements in contact with the ground were fixed, hence creating the necessary support condition at the base. Also, to capture the behavior of the concrete before and after cracking, the compression model (Figure 3a and b) is adopted13 while the model presented in Figure 3c is used for the reinforcement14.
For the AFRP material, a linear elastic model up to failure stress is used (Figure 3). Since the program is capable of automatically determining the location of plastic hinges during loading, trial and error assumptions about which areas are prone to failure are eliminated. In the analysis, material strain from elastic to plastic deformation provided the criteria for adjudging damage concentration and failure o the controlled rocking columns system while drift performance serves as means of comparison.
a b
660 mm
350 mm
660 mm
1400 mm
1
3 2
Local Axis
1006 mm
1230 mm
c d
Reinforcing bar
350X350 mm
Concrete Column
=460
=296
Figure 1. Column showing the 3D model of the specimen and rocking connection, (a) Model perspective view, (b) Model section view and local axis, (c) 3D rocking connection, (d) Column cross section
a
Stress
c
Tension p
t
Figure 2. ELS Model of the PnP Dissipater
b
Compression
Strain
Cracking point
Redistributed Value
Friction and Interlocking
c
o Tension
y
E
E/100
d
200
Tensile stress (ksi)
150
100
50
Compression
y
0
0 1 2 3
\
Tensile strain (%)
Figure 3. Constitutive models for concrete, steel and AFRP bars, (a) Concrete under axial stress 12, (b) Concrete under shear stresses 12,(c) Constitutive models for steel reinforcement14, (d) Tensile stress-strain characteristics of AFRP 15.
Failure Criteria
The reinforcement failure criterion is satisfied by having a normal stress equal or greater than the ultimate stress specified for the reinforcement bar stress (Tagel-Din, 2009). In all the AFRP columns, the bars whose material follows a linear elastic behavior up to tension failure, are specified to be in tension since bar rupture in ELS only works with bars in tension. Also, the mild steel bars i.e. energy dissipaters are expected to fail if its stress reaches the ultimate stress or if the concrete reaches the separation strain of 0.15 (Tagel-Din, 2009).
The Controlled Rocking System and Expected Behavior
The rocking AFRP RC columns consist of a footing, a square column (350x350x1550mm) with the head block forming the primary modular elements of the system while the rocking connection representing the secondary element, consists of the unbonded dissipater made of mild steel bar which sits externally to the column and is housed in a duct in the foundation (Figure 4). To achieve the primary objective of the rocking connection, this study considers the stability of the column under axial load and bending as well as possibility of failure of the columns cross section above the column-foundation interface. A mild steel energy dissipater spans between the
two ends of the ASTM A572 Grade 50 steel plate having round holes 1/16 in. larger than the bolt diameter and firmly held using bolts. The steel plates are in turn welded to plates firmly located in the column ensuring adequate shear transfer by friction. Fillet welds of 1-in. thick are obtained based on weld design which was less than minimum weld size of 1-3/4 in. stated in Section 2.4.5 of the Structural Welding Code.1 The minimum weld size of 1-3/4 in. was therefore considered in this study. Lesser thickness of weld could rupture which would have detrimental effect on the stability performance of the dissipater and the overall system.
The columns which are expected to reach large displacement demands would have the longitudinal AFRP
bars undergo low strain demands and prevent them from possibility of rupture. When loaded laterally, a gap at the column to foundation interface will open and stretch the dissipater, which would generate a rocking force at the top of the connection (Figure 5). Shear capacity is provided by the column and its base plate that goes inside the foundation (those angles), and moment capacity of the connection by dissipaters. In order to safely transfer this rocking force through the connection and into column, steel armor plates are cast in the column and foundation respectively. Also, ducts are provided to house energy dissipater inside the foundation to ease installation and replacement.
Dissipater bolt
Fillet weld
Extended Steel Bars
ASTM A572 Grade 50
Steel Plate
AFRP Reinforced Column
Dissipater
Corrugated Steel Duct
Fixed Base Plate
Figure 4. Rocking connection with PnP dissipater
Figure 5. Rocking behavior of the column (a) Column and rocking components (b) Column Response under loading (view rotated 90 degrees).
-
Loading
A reverse cyclic lateral load analysis was performed to evaluate the performance of the columns with the cycles of each analysis conducted in displacement control (Figure 6).
The column lateral force-displacement responses for specimens are shown in Figures 8 to 10. The column drift is defined as the displacement at the level of the applied load divided by the column height to the applied load.
Figure 6. Load Cycle for Analytical Study
-
Ductility and Energy Dissipation The idealized structural ductility 8 is defined as
The ductility performance of each column was examined according to ductility and energy-based
= 2
(4)
indicators in order to assess the inelastic performance and energy dissipation capacity of the columns. The average envelope curve 8 was estimated from the cyclic response of each specimen as shown in Figure 7a where it can show that.
The energy dissipated during one cycle i, , is described by the hatched area in Figure 6b. The total dissipated energy during the test , until 80% of conventional failure or bar rupture is reached 8 is defined
as:
+ +
(1) 1
= ( 2 )
=
(5)
=1
H = (H + H+ ) (2)
( ) (
where the energy 8 can simply be computed as:
2
=
2
)
(6)
K
= (K+ K+ ) (3)
2
A bilinear diagram in Figure 7b is derived from
where is the maximum equivalent lateral load, which includes the applied horizontal load, and the equivalent horizontal load due to the P- effect, if applicable.
A damage index DEW, which combines the cyclic
the load-displacement envelope by Park (1989) as shown in Figure 7. The maximum horizontal load carried by the
dissipated energy and the elastic energy 8 is defined as:
2
1
column after the yielding is given as . This represents
=
(
) ( )
(7)
the beginning of the post-peak behavior of the columns.
=1
2
2
The bilinear curve consist of a straight line from the origin which passes through the envelope curve at a load of 0.75 or at the yielding load (whichever is less), and it is then extended until the intersection with . From the newly established point (, ), a straight line is extended to a second point (2, ), where 2 is the failure displacement and is the horizontal load equal to 80%
where and are defined in Figure 7 a.
of .
Analytical Results
(a)
(b)
Figure 7. Energy dissipation curve [21], (a) Ideal curve definitions, (b) Hysteresis curve and energy dissipation.
loading and unloading. Failure of C3-S10N10 occurred
a) Influence of dissipater on AFRP RC Column (C1- S5N10 vs. C3-S10N10).
The presence of the PnP dissipater has an important influence on the overall behavior of the columns. Figure 8a and 8b show the cyclic lateral load-displacement of columns C1-S5N10 and C3-S10N10 predicted by ELS. The residual displacement of column C3-S10N10 is negligible compared to the conventional steel RC column C1-S5N10 due to the restoration capability of the PnP dissipater which returns the column to its intact position in the unloading stages. Columns C1-S5N10 with longitudinal steel bars continuous into the footing experienced large amount of cracks, early failue and induced damage during
immediately after the strain in the dissipater reached its failure strain ( = 0.002). Column C3-S10N10 has an ultimate load of 22.4 kips at 5.6% drift. C1-S5N10 failed at a lower displacement level and damage index, is 20.2 which is lower than column C3-S10N10 damage index of
16.7. C1-S5N10 total energy dissipated is 57% lower than C4-S5N10 (Table 8). The failure of C1-S5N10 occurred as a result of the damage to the steel rebars and concrete fibers at the plastic region. Column C3-S10N10 failure occurred due after the fracture of PnP dissipaters with no damage to the AFRP bars.
.(a) (b)
Figure 8: Effect of dissipater presence on Steel and AFRP RC Columns, C1-S5N10 and C3-S10N10
-
Effect of percentage of longitudinal bar on AFRP RC column with dissipater (C2-S5N10 and C4-S5N10)
Figures 9a and 9b show the cyclic lateral load- displacement of columns C2-S5N10 and C4-S5N10 predicted by ELS. Failure in the two columns occurred as a
result of rupture of the dissipaters. A lateral load capacity difference of less than 5% is observed for the two columns. This means increase in the percentage of longitudinal bars do not significantly improve the lateral performance of the rocking columns. C2-S5N10 damage index, is 17
which is 14% and 17% lesser than C4-S5N10, while the hysteresis energy dissipated was higher for column C2- S5N10 (Table 5).This means an increase in the AFRP bar percentage does not necessarily increase the energy
dissipation capacity of the columns since the dissipater provides the rocking mechanism and prevents the AFRP bars from being load bearing.
.(a) (b)
Figure 9: Influence of percentage of longitudinal bar on AFRP RC Columns C2-S5N10 and C4-S5N10
-
Influence of tie spacing on the AFRP RC columns (C3-S10N10 and C5-S2N10) with the PnP dissipater
Figures 10a and 10b show the load-displacement hysteretic performance of the two columns. Column C5- S2N10 and C3-S10N10 which had a tie spacing of 2 inches and 5inches respectively has a lateral load capacity difference of 3%. However, increase in the tie spacing resulted in significant decrease in the lateral load
performance of the column by 7%. C5-S2N10 damage index, is 15 which is 3% lesser than the indexes of columns C3-S5N10, while the hysteresis energy dissipated higher in C3-S5N10 (Table 5). Decreasing the tie spacing gives better confinement thus improved the damage performance of the FRP columns but has little or no effect on the drift performance of the columns.
.(a) (b)
Figure 9: Effect of tie spacing on the AFRP RC columns C3-S10N10 and C5-S2N10
Damage progression (C1-S5N10 vs. C5-S2N10)
The behavior of the conventional Steel RC and rocking AFRP RC columns differs significantly from the onset to point of collapse or failure (Figures 13). At about
-
percent drift ratio, the longitudinal steel in column C1-
S5N10 yielded and the first significant horizontal cracks appeared (Figure 9). Increase in loading at 1.8% drift resulted in fracture of the longitudinal steel and concentration of damage in the plastic hinge region. However, during uplift, column C5-S2N10 had no or
insignificant cracks developed along the column height and the longitudinal AFRP bars experienced insignificant strain (, < 0.0004). Notwithstanding the collapse of the AFRP rocking column C5-S2N10 at 5.6% drift was due to the failure of the dissipater, while the longitudinal AFRP
bars in the column did not reach their yield strain (
0.001).
Table 5. Energy and Damage Assessment
Specimen ID
Column drift
2
K
K
(%)
()
(in)
(in)
(kips/in)
(kips/in)
C1-S5N10
4.0
17.0
1.2
3.6
3.0
22.8
15.2
14.2
20.2
C2-S5N10
5.7
22.6
1.7
5.2
3.1
35.8
15.6
13.3
17.2
C3-S10N10
5.6
23.8
2.0
5.1
2.6
32.9
12.6
12.0
16.7
C4-S5N15
4.6
23.2
1.5
4.2
2.8
33.6
16.1
15.5
19.7
C5-S2N10
5.6
23.7
2.3
5.1
2.2
37.8
12.0
10.2
15.3
-
(b) (c)
-
(f)
(d) (e)
Figure 9. Damage progression of column showing strain profile, (a) Significant concrete crack at 1% drift for conventional column C1-S5N10, (b) Concrete crushing at 2.2% drift for conventional column C1-S5N10, (c) Failure at 2.5 drift for conventional column C1-S5N10, (d) First crack at column-footing interface at 0.3 % drift for rocking column C5-S2N10, (e) Column at 2.2% drift for rocking column C5-S2N10, (f) Column failure at 4.5% drift is due to dissipater fracture in rocking column C5-S2N10.
4 CONCLUSIONS
The numerical results presented in this paper shows the possibility of improving the performance of AFRP RC column and mitigating damage to the internal reinforcing bars through the provision of externally mounted dissipater. The following conclusion can be made based on response prediction by ELS.
-
Concentrated damage at the plastic region experienced in conventional columns during loading was overcome as these were transferred to secondary elements (dissipater) which provided re-centering capabilities. Failure in the rocking columns occurred once the dissipater reaches its failure strain.
-
The rocking AFRP columns experienced better energy dissipation and lower damage index than the conventional column. A further refinement of the model with a secondary element to prevent sudden collapse of the AFRP RC columns after failure of the dissipater is needed.
-
dissipater rocking connections performed as expected. However, for practical use of the proposed connection and optimized effectiveness of response, investigation to find appropriate dissipater size and height above the column- footing interface to suit performance requirement is essential.
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