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Axial Stress (MPa) Figure 3.4: Axial Stress versus P/L Ratio (two different materials) In order to show how effective the stress loading has been when transferred from the steel substrate into the composite materials (i.e. Carbon or Glass epoxy composites), the graphical interpretation of the results is based on the ratio of hoop or axial notch with repair to the hoop or axial stress without repair, which is defined as the Pipeline Repair Index (PRI) against the ratio of length to thickness. There are a few reasons why PRI is important in this PhD study. At present, the minimum standard width of the woven fibres which is 300 mm (12 inches) has been used by many manufacturers in wet applications (Frost, 2008) for years. For a normal application, such as the overhead straight pipeline that is subjected to internal pressure only, it is not necessary to use a very wide fibre cloth wrapping which of course in a long term implication, may unnecessarily waste the expensive adhesive and fibres if the defect is very small. Hence, there is a room for design optimisation in terms of using the right amount of composite in any straight pipeline repair in the future. So far, there is no open literature or reference that discusses this matter or has provided any specific equation. 65 60 55 50 45 40 35 30 25 20 0 0.02 0.04 0.06 0.08 P/L Ratio 114 W7 Glass/Epoxy W7 Carbon/Epoxy W40 Glass/Epoxy W40 Carbon/Epoxy W100 Glass/Epoxy W100 Carbon/Epoxy
However, Frost (2008) and Alexander (2007b) refer to the below calculation (ASME, 2010) for the axial extent of the repair that ensures that the repair is sufficiently long to transfer the load carried by the pipe substrate into the repair laminate. The axial extent of the repair, Laxial (mm), (i.e. from the edge of the defect to the end of the repair) is determined by; (Equation 3.19) where torig = original pipeline wall thickness (mm) D = pipeline diameter (mm) For internal pressure only, the axial length of the repair is given by; L = 2.Lover + Ldefect (Equation 3.20) According to pipeline ASME PCC-2 standard (ASME, 2010), the edges of the composite wraps should be tapered if the repair thickness is governed by an axial load. A minimum taper of 5:1 (horizontal/vertical) is recommended. Hence the total axial length of the repair is given by; L = 2.Lover + Ldefect + 2.Ltaper (Equation 3.21) Since the repair thickness in this PhD study is governed by the hoop load only (i.e. no tension or bending, only internal pressure), the taper length in Equation 3.21 can be ignored and Equation 3.20 applied instead. The results are summarised in Tables 3.16 and 3.17. In these results, carbon fibre has shown a better result than glass fibre composite in terms of stress load transfer and Figures 3.34 and 3.35 further discuss in detail the behaviour of the stress distribution. 115
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CRANFIELD UNIVERSITY MAHADI ABD MUR
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ABSTRACT One of the most common pro
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TABLE OF CONTENTS ABSTRACT ........
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3.7.1 Introduction ................
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5.6 Summary and Conclusions .......
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Figure 3.1: Schematic diagram of th
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Figure 5.4: The average temperature
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NOMENCLATURES ACFM Alternating Curr
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1 INTRODUCTION One of the most comm
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1.1 Objectives Knowing this backgro
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The methodology of this integrated
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Chapter 6 contains the summary and
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period of the major part of the exi
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Figure 2.2: Reported interest in de
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Figure 2.4: Dent damage caused by v
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presented current practices, recent
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Energy Workforce Sdn Bhd (2011) cla
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available provides real time detect
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2.3.3 Reliability Analysis of Infor
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Figure 2.9: Pipeline failure probab
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2.3.3.1 NDT Reliability and POD cur
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increase in the yield limit of stee
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the SCC assessment in their integri
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Manufacturers such as Walkers Techn
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Company L.P, 2005); Aquawrap ® pro
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monitoring, inspection, and damage
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2.6.2 Aims of Structural Health Mon
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Figure 2.16: Application fields and
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egistered by the piezoelectric sens
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discretization error. Round-off err
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notches and Neuber‘s is better fo
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maximum local stress at discontinui
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De Carvalho (2005) concludes that t
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accurate simulation of loading espe
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Based on the above facts, the opera
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3 FINITE ELEMENT ANALYSIS (FEA) IN
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Figure 3.2: Schematic diagram of th
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In this modelling work (i.e. compos
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This partition toolset also helps u
Page 83 and 84: Figure 3.6: Mesh control using Swee
Page 85 and 86: Figure 3.7: Schematic representatio
Page 87 and 88: discretization. Therefore, in this
Page 89 and 90: According to Staten et al. (2010b),
Page 91 and 92: 3.5 The influence of pressure on th
Page 93 and 94: each pressure value remains constan
Page 95 and 96: Axial Stress, σa (S22) was referre
Page 97 and 98: Figure 3.14 shows a graph of analyt
Page 99 and 100: the notch defect is found to be in
Page 101 and 102: One of the contributions of this st
Page 103 and 104: Table 3.4: Convergence tests on var
Page 105 and 106: Figures 3.16 and 3.17 show that the
Page 107 and 108: Figure 3.20 shows that as the relat
Page 109 and 110: 3.7.4 Concluding Remarks A biaxial
Page 111 and 112: yarns change and lateral contact be
Page 113 and 114: For predicting E2 and Gl2, a number
Page 115 and 116: Where: Ar = weight of one sheet of
Page 117 and 118: Where; The Stiffness matrix is trad
Page 119 and 120: simulations for the hoop strain at
Page 121 and 122: Figure 3.24: Finding the hoop stres
Page 123 and 124: Table 3.8: The effect of repair len
Page 125 and 126: four up to 18 layers. In this study
Page 127 and 128: hoop and axial stress concentration
Page 129 and 130: Table 3.11: Predicted Elastic Const
Page 131 and 132: Table 3.13: Axial Stress v/s L/W ra
Page 133: Hoop Stress (MPa) Figure 3.3: Hoop
Page 137 and 138: Table 3.17: Ratio of Axial Stress N
Page 139 and 140: axial load (e.g. buried pipelines t
Page 141 and 142: 3.10 Numerical Strain Analysis of C
Page 143 and 144: Figure 3.36 shows the contours befo
Page 145 and 146: Stress Concentration Factor 2 1.8 1
Page 147 and 148: In fact, for Notch 40 with 18 plies
Page 149 and 150: this second approach (i.e. the expe
Page 151 and 152: 4.2.2 Strain Gauge Selection and Cr
Page 153 and 154: Finally, a method used to calculate
Page 155 and 156: Where, and are the maximum and mini
Page 157 and 158: should be between 20 and 28 bar and
Page 159 and 160: welded weld neck flange at both end
Page 161 and 162: Figure 4.7: Sensor and heating elem
Page 163 and 164: Figure 4.9: A summary of data acqui
Page 165 and 166: One of the objectives of doing this
Page 167 and 168: Figure 4.14: A schematic diagram of
Page 169 and 170: Table 4.1: Strain gauge readings at
Page 171 and 172: microstrain 3.00E-04 2.50E-04 2.00E
Page 173 and 174: However, the axial load transfer is
Page 175 and 176: Mircostrain 500 450 400 350 300 250
Page 177 and 178: Since the defect is not a flat notc
Page 179 and 180: Again, the epoxy resin plays a sign
Page 181 and 182: Table 4.4: Study at the defect area
Page 183 and 184: Mircostrain 300 250 200 150 100 50
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Mircostrain 600 500 400 300 200 100
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14.25% in hoop strain and 23.5% in
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consideration for the selection of
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5.4 Methodology of Thermal Expansio
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Figure 5.1: Some preventive measure
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5.4.1 The Fundamentals of the Therm
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5.5 Analysis of Results 5.5.1 The t
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Thermal Output (strain ) 0.0002 0.0
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(Strain ,ε) Figure 5.12: Coefficie
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(Strain ,ε) 0.0002 0.00018 0.00016
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Table 5.1: The strain readings afte
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maximum shear strain increase as th
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The above results show that shear s
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shear strains becomes more stable a
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for future safe design and operatio
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has been fully cured. Poor surface
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6.3 Primary PhD Achievements The ea
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In Chapter 5, the CTE was determine
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ASM International (2002), "Thermal
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Bucinell, R. B. (2001), Calculating
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Proceedings of OMAE'01 20th Interna
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Greenwood, R. (2002), UKOPA Pipelin
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Kotrechko, S. A., Krasovskii, A. Y.
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Mousavi, S. E., Xiao, H. and Sukuma
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Raju, I. S. and Newman, J. C. (1986
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Tennyson, R. C. and Mufti, A. A. (2
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Xue, L., Widera, G. E. O. and Sang,
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General Technical Specifications: T
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Photos of the Design and Build of t
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Composite Installation Process usin
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APPENDIX 3 - STRAIN GAUGE INSTALLAT
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Figure 7: Mylar tape was stuck onto
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Figure 19: Repeating the above proc
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2) Electrical Insulation Test Resul
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