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    <subfield code="a">With the development of pipelines transporting oil and gas, the number of pipelines  suffering from corrosion and metal loss is also increasing. Composite repair technology  has become an effective way to be widely used based on the current standards. However,  current standards are considered conservative in determining the minimum composite  repair thickness, and need to be optimized and improved. Therefore, this study aimed to  put forward a new idea to improve the closed-form solution of composite repair thickness  through numerical simulation and theoretical derivation, taking the defect sizes, property  of putty and corroded pipe layer into consideration. Through response surface  methodology, the design pressure (yield pressure, maximum allowable operating  pressure and burst pressure) was determined by comparing to experimental results. Then,  sensitivity analysis of defect sizes using response surface methodology and parametric  study of defect sizes using finite element analysis were carried out. Finally, this study  proposed a three-layer thin-walled model based on two assumptions, namely the same  hoop strain of each layer and the same displacement of each layer. In the theoretical  derivation process, the crucial step is the corroded pipe layer treated equivalently. The  closed-form solutions of minimum composite repair thickness are then derived according  to the composite stress and strain reaching the ultimate stress and the ultimate strain based  on each assumption, respectively. Four closed-form solutions are obtained and validated  with the experimental test and current repair design standards. Results revealed that the  most influencing factor affecting failure pressure is the defect depth, with a recorded  pressure difference of 15.3%. In contrast, defect length has a minimal effect, while defect  width exerts a moderate impact, contributing to pressure differences of 0.1% and 1.2%,  respectively. Besides, results from theoretical derivation show that the most accurate  close-form solution is based on assumption 2 with only 0.3 % error margin. The accuracy  of comparison also reveals that the proposed closed-form solution outperforms the  current standards. The result of this study is significant as it could make the composite  repair more cost-effective and assist maintenance engineers in better evaluating the  reliability of pipeline rehabilitation. Meanwhile, this study also provides a theoretical  basis for the revision of the current standards.</subfield>
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