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SWANSON School of Engineering


CONCRETE MIXTURE PROPERTIES AFFECTING
                 THE
 AGGREGATE INTERLOCK MECHANISM OF
         JOINTS AND CRACKS
    FOR RIGID PAVEMENT SYSTEMS

       LUIS CARLOS RAMIREZ
          Advisor : Dr. Julie Vandenbossche


             Masters Thesis Defense
              November 19, 2010
OUTLINE
INTRODUCTION

MOTIVATION

APPROACH

RESEARCH OBJECTIVES

METHODOLOGY

EXECUTION

RESULTS AND ANALYSIS

CONCLUSIONS

FUTURE WORK
 Masters Thesis Defense 11/19/2010
INTRODUCTION
                   Pavement Performance
        Faulting                       Punchouts




    Corner Breaks                   Transverse Cracking




Masters Thesis Defense 11/19/2010
INTRODUCTION

Load Transfer Efficiency (LTE) of Cracks and Joints
                         (LTE)



     L= 1                                          U= 0




       L= 1                                          U= 1



                                       U
                           LTE =           x100%
                                       L
   Masters Thesis Defense 11/19/2010
INTRODUCTION
           Aggregate Interlock Mechanism


   PCC Slab

    Base



 LTEjoint=LTEbase+LTEAGG

           20%-40%



AGG= Joint Spring Stiffness


    Masters Thesis Defense 11/19/2010
INTRODUCTION
  Factors Affecting the Aggregate Interlock Mechanism
                                           Crack Surface Texture

Crack width
                      CA Top            CA        Matrix       CA          CA
                       Size           Hardness   Strength   Gradation   Angularity




       Masters Thesis Defense 11/19/2010
MOTIVATION

                                    Damage accumulation


                                        σ+δ=   f( AGG/kl)
                                                  AGG/kl)



M-E Design                               AGG = f( LTE)



                                   LTE = f( Surface texture)
                                                    texture)



                      Surf. texture = f( PCC Material properties)



    Masters Thesis Defense 11/19/2010
APPROACH



                              Surface Texture
Concrete                                          Vandenbossche (1999)
                                                                (1999)
 Mixture
Properties




                                   Ioannides
    LTE                            et.al (1990)      AGG/
                                                     AGG/kl



   Masters Thesis Defense 11/19/2010
RESEARCH OBJECTIVES

1. Establish a relationship between PCC properties and LTE.
                                                       LTE.

2. Establish a relationship between PCC properties and AGG.
                                                       AGG.

3. Investigate the effect of PCC properties on fracture
   parameters.

4. Determine influence of fracture parameters on the
   aggregate interlock.




 Masters Thesis Defense 11/19/2010
METHODOLOGY



                                            Select          Cast
                Identify
                                          Data Points    Specimens
               Data Gaps
                                          to Include      & Testing
  Data
                                                                       Calculate
Selection
                                                                         Results
Previous
                                                                       from Tests
 Studies
                                                                          Data




                    Analyzed
                                           Statistical   Analysis of   Development
                    Combined
                                          Data Fitting    Results       of Models
                      Data


      Masters Thesis Defense 11/19/2010
Full Factorial Design Matrix
                      LA Category               CA Top Size (in) w/c ratio Category   Existent
                                                                    Low strength
                                                     0.75          Medium strength
                                                                    High strength
                                                                    Low strength
              Low resistance to abrasion              1.5          Medium strength
EXECUTION



                                                                    High strength
                                                                    Low strength
                                                      2.5          Medium strength
                                                                    High strength
                                                                    Low strength
                                                     0.75          Medium strength
                                                                    High strength
                                                                    Low strength
            Medium resistance to abrasion             1.5          Medium strength
                                                                    High strength
                                                                    Low strength
                                                      2.5          Medium strength
                                                                    High strength
                                                                    Low strength
                                                     0.75          Medium strength
                                                                    High strength
                                                                    Low strength
              High resistance to abrasion             1.5          Medium strength
                                                                    High strength
                                                                    Low strength
                                                      2.5          Medium strength
                                                                    High strength
            Masters Thesis Defense 11/19/2010
EXECUTION
                    Concrete Mixtures Properties
Concrete Mix
             LS_0.75_17_0.4     LS_0.75_17_0.45 SL_1.25_34_0.4 SL_0.75_34_0.4 SL_0.75_34_0.45
    ID
 Aggregate
     Type
               Limestone           Limestone        Slag           Slag            Slag
      Top
 Aggregate        0.75               0.75           1.25           0.75            0.75
   Size (in)
   Coarse
 Aggregate
 Volumetric
                                                    44
Proportion (%)
  Water-to-
Cement Ratio
                   0.4               0.45            0.4            0.4            0.45

LA Value (%)                  17                                     34

 Absorption                   0.5                                   4.78
Capacity, (%)
Bulk Specific               2.71                                    2.35
  Gravity

CA Gradation                                AASHTO No. 57


    Masters Thesis Defense 11/19/2010
EXECUTION
                         Testing Program
      Day 1                               Day 28


 Fracture Energy                       Fracture Energy
 Test RILEM TPM                        Test RILEM TPM
      1990                                  1990
(4 specimens per                      (4 specimens per
     mixture)                              mixture)          Volumetric
                                                           Surface Texture
                                                               VST Test
                                                            (35 Fractured
                                       Flexural Strength        Faces)
                                        Test ASTM C78
                                      (3 specimens per
                                           mixture)



  Masters Thesis Defense 11/19/2010
INTRODUCTION
           Volumetric Surface Texture Test (VST)




                                              Vandenbossche (1999)




Masters Thesis Defense 11/19/2010
RESULTS AND ANALYSIS
 0.2365 in3/in2           VSTR Results 0.1289 in3/in2




Masters Thesis Defense 11/19/2010
RESULTS AND ANALYSIS
    VSTR Model
VSTR=0.3689+0.5004*TS-24.5162*(1/LA)-0.0540*w/c+0.2049*TS2-

              2.2665*TS*w/c+61.5434*(w/c/LA)
  Response Surface Method (RSM)
                                                                                            VSTR =Volumetric Surface Texture Ratio (in3/in2)

           R2=0.91 Adjusted R2=0.86                                                         TS = Aggregate Top Size(in)
                                                                                            LA = LA Abrasion (%)
                                                                                            w/c =w/c ratio

 Source           p-value        Terms         p-value
                                                                                    0.600
Regression        0.0000        Constant        0.000




                                                         Predicted VSTR (in³/in²)
                                                                                    0.500

  Linear          0.0010           TS           0.002                               0.400

                                                                                    0.300
 Square           0.0010          1/LA          0.000                               0.200

                                                                                    0.100
Interaction       0.0000          w/c           0.001
                                                                                    0.000
                                                                                        0.0000     0.1000    0.2000   0.3000   0.4000   0.5000   0.6000
                                   TS2          0.000
                                                                                                            Measured VSTR (in³/in²)
                                 TS*w/c         0.000

                                w/c/LA          0.005

           Masters Thesis Defense 11/19/2010
RESULTS AND ANALYSIS
VSTR f(CA Top Size, CA LA)                                                               w/c ratio =0.45




                  0.60000
                                                                                                       0.50000-0.60000
                  0.50000
                                                                                                       0.40000-0.50000
 VSTR (in3/in2)




                  0.40000                                                                              0.30000-0.40000
                                                                                                       0.20000-0.30000
                  0.30000
                                                                                                       0.10000-0.20000
                   0.20000                                                                             0.00000-0.10000

                   0.10000

                   0.00000
                         16
                           21
                                26
                                     31
                     LA (%)               37                                           2.34
                                                                                2.02
                                               42                        1.71
                                                                  1.39                 CA top size(%)
                                                           1.07
                                                    0.75




                   Masters Thesis Defense 11/19/2010
RESULTS AND ANALYSIS

VSTR f(CA LA, w/c ratio)                                                      CA Top size = 1 in




                         0.35000
                         0.30000
        VSTR (in3/in2)



                         0.25000                                       0.30000-0.35000
                         0.20000                                       0.25000-0.30000

                         0.15000                                       0.20000-0.25000
                                                                       0.15000-0.20000
                          0.10000
                                                                       0.10000-0.15000
                          0.05000
                                                                       0.05000-0.10000
            0.00000
                0.38
                  0.40                                                 0.00000-0.05000
                     0.43
     w/c ratio           0.45
                                                                  43
                             0.48                            38
                                                        32
                                                   27         LA (%)
                                              21
                                         16




Masters Thesis Defense 11/19/2010
RESULTS AND ANALYSIS
         LTE Model
                       VST 
      LTE = 39.7 ⋅ log      + 5.6
                       cw 
       R2=0.95


       Adjusted R2 =0.90


     VST = VTSR ⋅ t eff
                                              teff
                                                                              Vandenbossche (1999)




                    [(0.3689 + 0.5004 ∗ TS − 24.5162 ∗ (1/ LA) − 0.0540 ∗ w / c + 0.2049 ∗ TS 2 −
LTE = 39.7 ⋅ log{

            2.2665∗ TS ∗ w / c + 61.5434∗(w _ c / LA)]∗ 2.54 * teff
                                                                    } + 5.6
                                     cw
                                                                LTE= Load Transfer Efficiency (%)
                                                                VST=Volumetric Surface Texture (in3/in)
                                                                VSTR =Volumetric Surface Texture Ratio (in3/in2)
                                                                TS = Aggregate Top Size(in)
                                                                LA = LA Abrasion (%)
                                                                w/c =w/c ratio
              Masters Thesis Defense 11/19/2010                 teff= Slab Effective Thickness (cm)
                                                                cw= Crack Width (cm)
RESULTS AND ANALYSIS
                                              100

                                               90                                                              0.75 in

                                               80




                                    LTE (%)
                                                                                                               1 in
                                               70

                                               60                                                              1.5 in
                                               50

                                               40                                                              2 in
                                                       0   20   40         60       80     100     120

    LTE vs. Crack Width                                         Crack width (mils)


                                         100

Jensen & Hansen (2001)                        90                                                                  Predicted 1in
Slab thickness =10 in
Limestone LA =34% , TS =1in
Gravel LA 22%, TS=2iin                        80
                                                                                                                  Mesured 1 in
                              LTE (%)




                                              70
                                                                                                                  Predicted 2 in
                                              60

                                              50                                                                  Measured 2 in
                                              40
                                                   0       20   40          60        80     100         120
               Masters Thesis Defense 11/19/2010                     Crack width (mils)
RESULTS AND ANALYSIS
AGG Model
                                 100

                                  90
   ...




                                  80
                                                                                                            1         
                                                                                                                          −1.17786
                                                                                                                                   
                                  70
                                                                                                                − 0.01          
   Load Transfer Efficiency, %




                                  60
                                                                                                     AGG =  LTE                 ⋅k⋅l
                                                                                                            0.012               
                                                                                                                       
                                  50

                                                                                                                                
                                  40
                                                                                                                                  
                                  30

                                  20                                                                             Crovetti (1994)
                                  10

                                   0                                                                             Ioannides et. al (1990)
                                    0.01       0.1            1            10           100   1000
                                                     Nondimensional Stiffness, AGG/kl

                                                     [(0.3689 + 0.5004 ∗ TS − 24.5162 ∗ (1/ LA) − 0.0540 ∗ w / c + 0.2049 ∗ TS 2 −
LTE = 39.7 ⋅ log{
                                           2.2665∗ TS ∗ w / c + 61.5434∗(w _ c / LA)]∗ 2.54 * teff
                                                                                                   } + 5.6
                                                                    cw
                                                                                                       LTE= Load Transfer Efficiency (%)
                                                                                                       VST=Volumetric Surface Texture (in3/in)
                                                                                0.25                   VSTR =Volumetric Surface Texture Ratio (in3/in2)
                                                        Eh3                                          TS = Aggregate Top Size(in)
                                               l=
                                                  12 ⋅ (1− ν 2 )k 
                                                                                                      LA = LA Abrasion (%)
                                                                                                     w/c =w/c ratio
                                                                                                       teff= Slab Effective Thickness (cm)
                                                                                                       cw= Crack Width (cm)
                                                                                                       k= Modulus of Subgrade Reaction (psi/in)
                                           Masters Thesis Defense 11/19/2010                           l = Radius of Relative Stiffness (in)
RESULTS AND ANALYSIS


                  AGG f(LA, w/c ratio)                                                   k =200 psi
                                                                                         l= 30 in
                                                                                         cw=0.08 in
                                                                                         teff=11 in
                                                                                         CA top size= 1 in
            7.00E+04

             6.00E+04

             5.00E+04
AGG (psi)




             4.00E+04                                                    6.00E+04-7.00E+04
                                                                         5.00E+04-6.00E+04
             3.00E+04
                                                                         4.00E+04-5.00E+04
             2.00E+04                                                    3.00E+04-4.00E+04
              1.00E+04                                                   2.00E+04-3.00E+04
                                                                         1.00E+04-2.00E+04
              4.00E+01
                   0.38
                    0.40                                                 4.00E+01-1.00E+04
                      0.42
   w/c      ratio       0.44
                          0.46
                            0.48                                 43 46
                                                     32 35 38 40
                                            24 27 30           LA (%)
                                   16 19 21



                   Masters Thesis Defense 11/19/2010
CONCLUSIONS

Development of VSTR model
   VSTR = f (w/c, TS, LA).


Development of LTE model
   LTE = f (w/c, TS, LA, cw, t)

Development of AGG model
   AGG= f (w/c, TS, LA, cw, t, k, l)




Masters Thesis Defense 11/19/2010
FUTURE WORK
 To expand and additional validation of VSTR model.

 To incorporate AGG model into the MEPDG.

  To investigate the effect of additional PCC properties on the
surface texture.

 To investigate the relationship between concrete fracture
parameters and the aggregate interlock mechanism.




  Masters Thesis Defense 11/19/2010
Thank you!

 QUESTIONS?/COMMENTS?




Masters Thesis Defense 11/19/2010

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Lcr Thesis Presentation Final

  • 1. SWANSON School of Engineering CONCRETE MIXTURE PROPERTIES AFFECTING THE AGGREGATE INTERLOCK MECHANISM OF JOINTS AND CRACKS FOR RIGID PAVEMENT SYSTEMS LUIS CARLOS RAMIREZ Advisor : Dr. Julie Vandenbossche Masters Thesis Defense November 19, 2010
  • 2. OUTLINE INTRODUCTION MOTIVATION APPROACH RESEARCH OBJECTIVES METHODOLOGY EXECUTION RESULTS AND ANALYSIS CONCLUSIONS FUTURE WORK Masters Thesis Defense 11/19/2010
  • 3. INTRODUCTION Pavement Performance Faulting Punchouts Corner Breaks Transverse Cracking Masters Thesis Defense 11/19/2010
  • 4. INTRODUCTION Load Transfer Efficiency (LTE) of Cracks and Joints (LTE) L= 1 U= 0 L= 1 U= 1 U LTE = x100% L Masters Thesis Defense 11/19/2010
  • 5. INTRODUCTION Aggregate Interlock Mechanism PCC Slab Base LTEjoint=LTEbase+LTEAGG 20%-40% AGG= Joint Spring Stiffness Masters Thesis Defense 11/19/2010
  • 6. INTRODUCTION Factors Affecting the Aggregate Interlock Mechanism Crack Surface Texture Crack width CA Top CA Matrix CA CA Size Hardness Strength Gradation Angularity Masters Thesis Defense 11/19/2010
  • 7. MOTIVATION Damage accumulation σ+δ= f( AGG/kl) AGG/kl) M-E Design AGG = f( LTE) LTE = f( Surface texture) texture) Surf. texture = f( PCC Material properties) Masters Thesis Defense 11/19/2010
  • 8. APPROACH Surface Texture Concrete Vandenbossche (1999) (1999) Mixture Properties Ioannides LTE et.al (1990) AGG/ AGG/kl Masters Thesis Defense 11/19/2010
  • 9. RESEARCH OBJECTIVES 1. Establish a relationship between PCC properties and LTE. LTE. 2. Establish a relationship between PCC properties and AGG. AGG. 3. Investigate the effect of PCC properties on fracture parameters. 4. Determine influence of fracture parameters on the aggregate interlock. Masters Thesis Defense 11/19/2010
  • 10. METHODOLOGY Select Cast Identify Data Points Specimens Data Gaps to Include & Testing Data Calculate Selection Results Previous from Tests Studies Data Analyzed Statistical Analysis of Development Combined Data Fitting Results of Models Data Masters Thesis Defense 11/19/2010
  • 11. Full Factorial Design Matrix LA Category CA Top Size (in) w/c ratio Category Existent Low strength 0.75 Medium strength High strength Low strength Low resistance to abrasion 1.5 Medium strength EXECUTION High strength Low strength 2.5 Medium strength High strength Low strength 0.75 Medium strength High strength Low strength Medium resistance to abrasion 1.5 Medium strength High strength Low strength 2.5 Medium strength High strength Low strength 0.75 Medium strength High strength Low strength High resistance to abrasion 1.5 Medium strength High strength Low strength 2.5 Medium strength High strength Masters Thesis Defense 11/19/2010
  • 12. EXECUTION Concrete Mixtures Properties Concrete Mix LS_0.75_17_0.4 LS_0.75_17_0.45 SL_1.25_34_0.4 SL_0.75_34_0.4 SL_0.75_34_0.45 ID Aggregate Type Limestone Limestone Slag Slag Slag Top Aggregate 0.75 0.75 1.25 0.75 0.75 Size (in) Coarse Aggregate Volumetric 44 Proportion (%) Water-to- Cement Ratio 0.4 0.45 0.4 0.4 0.45 LA Value (%) 17 34 Absorption 0.5 4.78 Capacity, (%) Bulk Specific 2.71 2.35 Gravity CA Gradation AASHTO No. 57 Masters Thesis Defense 11/19/2010
  • 13. EXECUTION Testing Program Day 1 Day 28 Fracture Energy Fracture Energy Test RILEM TPM Test RILEM TPM 1990 1990 (4 specimens per (4 specimens per mixture) mixture) Volumetric Surface Texture VST Test (35 Fractured Flexural Strength Faces) Test ASTM C78 (3 specimens per mixture) Masters Thesis Defense 11/19/2010
  • 14. INTRODUCTION Volumetric Surface Texture Test (VST) Vandenbossche (1999) Masters Thesis Defense 11/19/2010
  • 15. RESULTS AND ANALYSIS 0.2365 in3/in2 VSTR Results 0.1289 in3/in2 Masters Thesis Defense 11/19/2010
  • 16. RESULTS AND ANALYSIS VSTR Model VSTR=0.3689+0.5004*TS-24.5162*(1/LA)-0.0540*w/c+0.2049*TS2- 2.2665*TS*w/c+61.5434*(w/c/LA) Response Surface Method (RSM) VSTR =Volumetric Surface Texture Ratio (in3/in2) R2=0.91 Adjusted R2=0.86 TS = Aggregate Top Size(in) LA = LA Abrasion (%) w/c =w/c ratio Source p-value Terms p-value 0.600 Regression 0.0000 Constant 0.000 Predicted VSTR (in³/in²) 0.500 Linear 0.0010 TS 0.002 0.400 0.300 Square 0.0010 1/LA 0.000 0.200 0.100 Interaction 0.0000 w/c 0.001 0.000 0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 TS2 0.000 Measured VSTR (in³/in²) TS*w/c 0.000 w/c/LA 0.005 Masters Thesis Defense 11/19/2010
  • 17. RESULTS AND ANALYSIS VSTR f(CA Top Size, CA LA) w/c ratio =0.45 0.60000 0.50000-0.60000 0.50000 0.40000-0.50000 VSTR (in3/in2) 0.40000 0.30000-0.40000 0.20000-0.30000 0.30000 0.10000-0.20000 0.20000 0.00000-0.10000 0.10000 0.00000 16 21 26 31 LA (%) 37 2.34 2.02 42 1.71 1.39 CA top size(%) 1.07 0.75 Masters Thesis Defense 11/19/2010
  • 18. RESULTS AND ANALYSIS VSTR f(CA LA, w/c ratio) CA Top size = 1 in 0.35000 0.30000 VSTR (in3/in2) 0.25000 0.30000-0.35000 0.20000 0.25000-0.30000 0.15000 0.20000-0.25000 0.15000-0.20000 0.10000 0.10000-0.15000 0.05000 0.05000-0.10000 0.00000 0.38 0.40 0.00000-0.05000 0.43 w/c ratio 0.45 43 0.48 38 32 27 LA (%) 21 16 Masters Thesis Defense 11/19/2010
  • 19. RESULTS AND ANALYSIS LTE Model  VST  LTE = 39.7 ⋅ log  + 5.6  cw  R2=0.95 Adjusted R2 =0.90 VST = VTSR ⋅ t eff teff Vandenbossche (1999) [(0.3689 + 0.5004 ∗ TS − 24.5162 ∗ (1/ LA) − 0.0540 ∗ w / c + 0.2049 ∗ TS 2 − LTE = 39.7 ⋅ log{ 2.2665∗ TS ∗ w / c + 61.5434∗(w _ c / LA)]∗ 2.54 * teff } + 5.6 cw LTE= Load Transfer Efficiency (%) VST=Volumetric Surface Texture (in3/in) VSTR =Volumetric Surface Texture Ratio (in3/in2) TS = Aggregate Top Size(in) LA = LA Abrasion (%) w/c =w/c ratio Masters Thesis Defense 11/19/2010 teff= Slab Effective Thickness (cm) cw= Crack Width (cm)
  • 20. RESULTS AND ANALYSIS 100 90 0.75 in 80 LTE (%) 1 in 70 60 1.5 in 50 40 2 in 0 20 40 60 80 100 120 LTE vs. Crack Width Crack width (mils) 100 Jensen & Hansen (2001) 90 Predicted 1in Slab thickness =10 in Limestone LA =34% , TS =1in Gravel LA 22%, TS=2iin 80 Mesured 1 in LTE (%) 70 Predicted 2 in 60 50 Measured 2 in 40 0 20 40 60 80 100 120 Masters Thesis Defense 11/19/2010 Crack width (mils)
  • 21. RESULTS AND ANALYSIS AGG Model 100 90 ... 80  1  −1.17786  70  − 0.01  Load Transfer Efficiency, % 60 AGG =  LTE  ⋅k⋅l  0.012     50    40   30 20 Crovetti (1994) 10 0 Ioannides et. al (1990) 0.01 0.1 1 10 100 1000 Nondimensional Stiffness, AGG/kl [(0.3689 + 0.5004 ∗ TS − 24.5162 ∗ (1/ LA) − 0.0540 ∗ w / c + 0.2049 ∗ TS 2 − LTE = 39.7 ⋅ log{ 2.2665∗ TS ∗ w / c + 61.5434∗(w _ c / LA)]∗ 2.54 * teff } + 5.6 cw LTE= Load Transfer Efficiency (%) VST=Volumetric Surface Texture (in3/in) 0.25 VSTR =Volumetric Surface Texture Ratio (in3/in2)  Eh3  TS = Aggregate Top Size(in) l=  12 ⋅ (1− ν 2 )k   LA = LA Abrasion (%)   w/c =w/c ratio teff= Slab Effective Thickness (cm) cw= Crack Width (cm) k= Modulus of Subgrade Reaction (psi/in) Masters Thesis Defense 11/19/2010 l = Radius of Relative Stiffness (in)
  • 22. RESULTS AND ANALYSIS AGG f(LA, w/c ratio) k =200 psi l= 30 in cw=0.08 in teff=11 in CA top size= 1 in 7.00E+04 6.00E+04 5.00E+04 AGG (psi) 4.00E+04 6.00E+04-7.00E+04 5.00E+04-6.00E+04 3.00E+04 4.00E+04-5.00E+04 2.00E+04 3.00E+04-4.00E+04 1.00E+04 2.00E+04-3.00E+04 1.00E+04-2.00E+04 4.00E+01 0.38 0.40 4.00E+01-1.00E+04 0.42 w/c ratio 0.44 0.46 0.48 43 46 32 35 38 40 24 27 30 LA (%) 16 19 21 Masters Thesis Defense 11/19/2010
  • 23. CONCLUSIONS Development of VSTR model VSTR = f (w/c, TS, LA). Development of LTE model LTE = f (w/c, TS, LA, cw, t) Development of AGG model AGG= f (w/c, TS, LA, cw, t, k, l) Masters Thesis Defense 11/19/2010
  • 24. FUTURE WORK To expand and additional validation of VSTR model. To incorporate AGG model into the MEPDG. To investigate the effect of additional PCC properties on the surface texture. To investigate the relationship between concrete fracture parameters and the aggregate interlock mechanism. Masters Thesis Defense 11/19/2010
  • 25. Thank you! QUESTIONS?/COMMENTS? Masters Thesis Defense 11/19/2010