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MORE OPTIONSDISAGREEAGREE ArticlePDF Available DESIGN OF FLC WITH MAMDANI APPROACH FOR THE ESTIMATION OF WELD DUCTILITY OF MIG WELDED AL65032 ALLOY * August 2022 Authors: Ankamma Kandula * Mahatma Gandhi Institute of Technology Download full-text PDFRead full-text Download full-text PDF Read full-text Download citation Copy link Link copied Read full-text Download citation Copy link Link copied References (7) Discover the world's research * 20+ million members * 135+ million publications * 700k+ research projects Join for free Public Full-text 1 Content uploaded by Ankamma Kandula Author content All content in this area was uploaded by Ankamma Kandula on Aug 13, 2022 Content may be subject to copyright. Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering ISSN: 0974-5823 Vol. 7 No. 6 June, 2022 International Journal of Mechanical Engineering Design of FLC with Mamdani Approach for the Estimation of weld ductility of MIG welded Al- 65032 Alloy P.V.R.Ravindra Reddy Department of Mechanical Engineering, Chaitanya Bharathi Institute of Technology, Gandipet, Hyderabad-75 K.Ankamma* Department of Mechanical Engineering,Mahatma Gandhi Institute of Technology, Gandipet, Hyderabad-75 *: corresponding author Abstract: The fuzzy logic controller (FLC) is particularly suited to situations when there is a high level of uncertainty in the process. Welding parameters such as shielding gas pressure, current, torch angle, electrode size, arc length, electrode wire feed, and others affect the material properties of a weldment in Metal Inert Gas Welding (MIG). Joint characteristics such as groove angle, land, root gap, and preheating temperature all have an impact. However, a variety of noise characteristics, such as variations in base material properties, inert gas quality, ambient conditions, worker skill, and so on, add uncertainty into the process. An FLC is designed and validated to deal with such uncertainty. The effect of four input parameters, namely inert gas pressure, current, groove angle of the joint, and preheating temperature of base metal, on the percentage of elongation, which is a measure of ductility, is investigated in the current work. Each parameter is described using three language phrases. An L-9 orthogonal array is chosen for experimentation to reduce the number of experiments in data base architecture. MIG welding is used, and a data base containing nine rules is created. The FLC is designed in MATLAB and analytically validated. The Fuzzy controller is built using the Mamdani technique. Key words: Crisp value, Fuzzy logic controller, GMAW, Mamdani approach, Membership function, Orthogonal array, Triangular function. Introduction A fuzzy logic controller is defined as a set of rules of the kind IF (condition) THEN (action) that are used to convert a human expert's linguistic control strategy into a well-adapted automatic control strategy [1]. Fuzzy logic controllers have a wide range of applications in engineering [2-6]. Al-65032 is a precipitation-hardening aluminium alloy that is one of the most widely used for general-purpose applications. Aluminium alloys are difficult to weld materials. Gas Metal Arc Welding is extensively used for welding aluminium alloys. MIG welding process is influenced by number of parameters individually and combinedly with a high complexity of interactions. The complex interaction of the parameters results into a wide variation in the weldment properties, geometry, and metallurgical features. Input Parameter selection The input variable selected is pressure current groove angle and preheating. Three linguistic terms for the FLC design, are selected for each parameter; Low, Medium and High. For 4 parameters with 3 linguistic terms, the size of the rule base is 43. i.e 64. So, a minimum of 64 experiments are to be conducted for developing the rule base which involves a huge cost and time. So for reducing the no. of experiments an orthogonal array L-9 is selected for experimentation. Experiments conducted with the Taguchi Orthogonal arrays will give the reasonably accurate results even in partial factorial case. The hypothesis was validated by Ankamma et.al [7]. In the current work the FLC is designed using MATLAB and validated with the analytical results. 210 Table 1: The input variables S.No Input Parameter Level 1 Level 2 Level 3 1 Pressure (KPa) 90 104 125 2 Current (Amps) 220 230 245 3 Groove angle (Deg) 45 60 70 4 Pre-heating (OC) 125 150 175 The three levels of the parameters selected after preliminary experiments are given in table 1. With four parameters and three levels Orthogonal array L9 was selected for the experimentation and the levels of the parameters shown in table 1 are assigned to the OA and presented in table 2. Experimentation Standard test pieces with dimensions 150mm X 150mm X 6mm are cut from the Al-65032 alloy sheet are prepared with an a saw machine. The plates are grooved to the desired angle on a milling machine. The milled pieces were engraved with a specific number for identification. The pieces were pickled. Hydrochloric Acid is used for the process. A ready to weld sample of weld specimen is presented in Fig 1 and the test pieces are shown in Fig 2. Table 2: OA after assigning the values Run Pressure (KPa) Current (Amps) Groove angle (Deg) Pre-heating (OC) 1 90 220 45 125 2 90 230 60 150 3 90 245 70 175 4 104 220 60 175 5 104 230 70 125 6 104 245 45 150 7 125 220 70 150 8 125 230 45 175 9 125 245 60 125 The tensile test was carried out. The % Elongation values which is an indication of ductility of a material, for various trials are presented in Table 3. For all the parameters output values at the levels 1,2,3 are summed up and averaged. The averaged values are presented in the table 3 against A1, A2 and A3 and the values are plotted in Fig 3 to know the variation. Type your text 211 Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering Fig 1 A sample of specimen before welding Fig 2: Tensile Test pieces Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering Table 3: % Elongation values for various trials Run Pressure Current Angle Pre- heating % EL 1 1 1 1 1 17.23 2 1 2 2 2 17.57 3 1 3 3 3 19.49 4 2 1 2 3 18.09 5 2 2 3 1 16.17 6 2 3 1 2 15.63 7 3 1 3 2 14.98 8 3 2 1 3 17.89 9 3 3 2 1 17.45 A1 18.10 16.77 16.92 16.95 A2 16.63 17.21 17.70 16.06 A3 16.77 17.52 16.88 18.49 Fig 3 : Variation of % Elongation at various levels Design of Fuzzy Logic Controller Mamdani approach is used for the design of FLC (Fuzzy logic controller). Fig 3 reveals that the variation % elongation is almost linear with current and nonlinear with other parameters. As the experiments are conducted at three levels, for each input three linguistic terms are used to denote low, medium and high. Table 4 presents the linguistic terms selected for the input parameters. 4.1 FLC Design with triangular member function The triangular membership functions of the pressure; Current, Groove angle and preheating are given in Fig 4, Fig 5, Fig 6and Fig 7 respectively. The triangular member ship function of the output, percentage elongation is presented in Fig 8. Pressure Levels of the parameters % Elongation 212 Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering Table 4: input & output variables and their linguistic terms S.No Input variable Low Medium High 1. Pressure LP MP HP 2. Current LC MC HC 3. Groove angle LG MG HG 4. Pre-heating LH MH HH 5. % Elongation LE ME HE From the results of the experiments shown in table 3, the rule base is designed and given in table 5. Since for the reduction of no. of experiments, partial factorial experimentation is done a rule base of 9 rules can only be obtained instead of 64 rules. Table 5: Rule Base Run Pressur e Curren t Angle Pre- heating UTS 1 LP LC LG LH ME 2 LP MC MG MH ME 3 LP HC HG HH HE 4 MP LC MG HH HE 5 MP MC HG LH LE 213 Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering 1 6 MP HC LG MH LE 7 HP LC HG MH LE 8 HP MC LG HH ME 9 HP HC MG LH ME Further experiments are conducted for validation of the FLC. The Experimental results are presented in table 6 Table 6: Results of further experiments Run Pressure (KPa) Current (Amp) Angle (Degree) Pre- heating (0C) % Elongation (Experimental) 1 95 220 50 130 15.98 2 100 225 55 170 17.79 3 100 230 60 140 17.00 4 120 240 50 160 15.44 5 100 220 70 140 16.02 Calculation of out using analytical formulae A sample calculation is provided here under for the first case i.e Pressure 95 KPa, Current 200 A, groove angle 500 and preheating 1300 C From the Fig 9 it is noted that 95 Kpa pressure can be termed as low pressure or medium pressure with different membership functions. The member ship functions can be calculated by similarity of triangles and found out as µLp=0.714286 and µMP=0.285714. Similarly membership functions pressure, current, groove angle and preheating can be calculated as µLC=0.8 and µMC=0.2; µLG=0.666667 and µMG=0.333333; µLH=0.8 and µMH=0.2. So there 16 possible rules those can be fired and are presented in table 7. LP MP HP µ 90 195 104 125 Fig 9: Sample calculation for Pressure Firing strength of each rule can be found out by taking the minimum value of the member ship of functions of each rule. For example firing strength of rule 1 given in table 7 can be found out as Min (µLP, µLC, µLA, µLH) = min (0.714286, 0.8,0.666667,0.8) = 0.666667 Similarly the firing strength of each rule is found out and are given in the table 7 µLP µMP 214 Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering Table 7: Firing strength of the rules Rule Pressure Current Angle Pre-heating Firing strength 1 LP LC LG LH 0.666667 2 LP LC LG MH 0.2 3 LP LC MG LH 0.333333 4 LP MC LG LH 0.2 5 MP LC LG LH 0.285714 6 LP LC MG MH 0.2 7 LP MC MG LH 0.2 8 MP MC LG LH 0.2 9 MP LC MG LH 0.2 10. LP MC LG MH 0.2 11. MP LC LG MH 0.2 12. LP MC MG MH 0.2 13. MP MC MG LH 0.2 14. MP LC MG MH 0.2 15. MP MC LG MH 0.2 16 MP MC MG MH 0.2 But the database only consists of 2 rules Fuzzified outputs as evident from table 3; Rule 1 and rule 12 calculations are done on these two rules From Fig 3 the two rules can be stated as Rule 1: If Pressure is LP and current is LC and Groove angle is LG and preheating is LH then the Impact Energy is ME Rule 12: If Pressure is LP and current is MC and Groove angle is MG and preheating is MH then the Impact Energy is ME The representation the above two rules on the triangular membership function are graphically presented in Fig 10 and Fig 11 µ 666 14.98 17.24 19.49 µ .2 14.98 17.24 19.49 Fig 10: Rule 1 Fig 11: Rule 12 215 Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering Centre of sums method is applied for defuzzificaiton. The hatched areas of the membership functions and the centres of areas shown in the Fig 10 and 11 are computed and presented in the table 8. Areas can be easily calculated by the geometry i.e Sum of area of a triangle and a rectangle for each case. Length of the rectangle and the base of the triangle can be found out by similarity of triangles. Centre of the rectangle is at half of its length and centre of the triangle is 1/3 of its length. The centre of whole area is obtained by weighted average Centre of area = (area of rectangle X centre of rectangle+ area of the triangle and centre of the triangle)/ (area of the rectangle + Area of the triangle) Table 8: Area and centre of areas Rule Area Centre 1 13.342 17.24 12 11.453 17.24 The fuzzified output can be calculated by the equation (1) 1 1 + 12 12 = 1 + 12 Defuzzified output for this case is computed to be 17.24 Design of FLC using MATLAB The FLC design is carried out using MATLAB, The input parameters and out parameter of FLC is shown in Fig 12. Triangular membership functions selected for input variables pressure, current, groove angle and preheating are presented in Fig 13, Fig 14, Fig 15 and Fig 16 respectively. The triangular membership function of output, percentage elongation is presented in Fig 17. Fig 12: Inputs and Output of FLC Fig 13: Triangular Membership function of pressure Fig 14: Triangular Membership function of current Fig 15: Triangular Membership Function of Groove angle 216 Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering Fig 16: Triangular Membership function of Preheating Fig 17: Triangular Membership function of % Elongation The rules stated in table 5 are input into the MATLAB and are graphically presented in Fig 18. Fig 18: Graphical representation of rules Validation of FLC The FLC designed using MATLAB is validated with analytical result obtained in section 4.2. For the same case i.e for the run 1 in table 5 the result obtained MATLAB is presented in Fig 19. Fig 19: Result obtained with MATLAB for run-1 217 Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering The result obtained from the analytical calculation is 17.24 and the result obtained from the MATLAB for the same case is 17.2. Hence it is treated that the FLC design with MATLAB is validated and further readings can be from the MATLAB FLC to compare with the experimental results presented in table 6. The results obtained from the FLC for the runs 2,3,4 and 5 presented in table 6 are shown in Fig 20, Fig 21, Fig 22 and Fig 23 respectively and the values are tabulate in table 9 against the experimental values. From the table 9 it is noted that the percentage error between FLC and experimental results vary from 0.06% to 9.47%. The error may be accepted. This error may also be due to the assumption of linearity. But from the Fig 3 linearity was strictly observed for current only. Fig 20: FLC result for run 2 Fig 21: FLC result for run 3 Fig 22: FLC result for run 4 Fig 23: FLC result for run 5 Table 9: Validation of FLC with experimental results Run Pressure Current Angle Pre- heating % Elongation (Experimental) % Elongation From the FLC % error 1 95 220 50 130 15.98 17.2 7.6 2 100 225 55 170 17.79 17.8 0.06 3 100 230 60 140 17.00 17.2 1.18 4 120 240 50 160 15.45 17.1 9.47 5 100 220 70 140 16.03 15.9 -0.93 The area plots of percentage elongation with current and pressure, with groove angle and current, with preheating and current are presented in Fig 24, Fig 25 and Fig 26 respectively. 218 Copyrights @Kalahari Journals Vol.7 No.6 (June, 2022) International Journal of Mechanical Engineering Conclusions In the current work a Fuzzy logic controller is developed with the help MATLAB for predicting the percentage elongation of the aluminium alloy AL 65032 weldment, using Mamdani approach. The FLC developed using the tool MATLAB is validated analytically and experimentally and the validation result is found satisfactory. As design FLC becomes complex with the increase of number of input parameters, the concept of orthogonal array used for experimentation in the development of data base and rule base. Even though a partial data base is developed with the reduced experimentation to save the time, cost and effort, the maximum error in the prediction is found out to be 7.86%. So development of knowledge base using Taguchi technique proved to be accurate enough to design a low cost FLC. Further investigations may be carried out to tune this controller using neural networks or genetic algorithms as the data is getting generated in due course. This off line FLC can be integrated in intelligent manufacturing systems for controlling the process in auto mode and at the same time tuning the FLC continuously to produce the synergic effect. References [1]. Kheireddine Lamamra, Farida Batat, Fouad Mokhtari, “New technique with improved control quality of nonlinear systems using an optimized fuzzy logic controller” Expert Systems with Applications, vol.145 (2020) pp.1-9 [2]. Stefano Pietrosanti, Feras Alasali, Willam Holerbaum, “Power Management system for RTG crane using fuzzy logic controller”, Sustainable Energy Technologies and Assessments, vol.37, Feb 2020.pp 1-15. [3]. Tianhu Zhang, Yuanjun Liu, Yandi Rao, Xiaopeng Li, Qingxin Zhao, “Optimal design of building environment with hybrid genetic algorithm, artificial neural network, multivariate regression analysis and fuzzy logic controller” Building and Environment Vol. 175 (2020), pp.1-10 [4]. A.K.D. Velayudhan, “Design of a supervisory fuzzy logic controller for monitoring the inflow and purging of gas through lift bags for a safe and viable salvaging operation”, Ocean Engineering, vol.171 (2019), pp.193-200. [5]. Najib El Ouanjli, Saad Motahhir, Aziz Derouich, Abdelaziz El Ghzizal, Ali Chebabhi, Mohammed Taoussi “Improved DTC strategy of doubly fed induction motor using fuzzy logic controller” Energy Reports 5 (2019) pp.271–279 [6]. Jorge Martinez-Gil, Jose Manuel Chaves-Gonzalez, “Automatic design of semantic similarity controllers based on fuzzy logics”, Expert Systems with Applications 131 (2019) pp.45–59. [7]. K. Ankamma, P.V.R. Ravindra Reddy, “Use of Orthogonal Arrays in Design of a Fuzzy Logic Controller to Predict the Proof Stress for the TIG Welded Al-65032”, International Journal of Innovative Technology and Exploring Engineering (IJITEE) Volume-9 Issue-7, May 2020, pp.996-1001 Fig 24. Area plot of % El with pressure and current Fig 25. Area plot of % El with Groove angle and current Fig 26. Area plot of % El with preheating and current 219 CITATIONS (0) REFERENCES (7) ResearchGate has not been able to resolve any citations for this publication. Power management system for RTG crane using fuzzy logic controller Article Full-text available * Jan 2020 * Stefano Pietrosanti * Feras Alasali * William Holderbaum In this research, there are two major objectives have been investigated for a Rubber Tyred Gantry (RTG) crane system: energy consumption reduction and decrease the stress on the primary source. These objectives can be met by using an advance control system that reads the status of the crane and outputs a power reference value which is fed to the storage device. This paper presents Fuzzy Logic Controller (FLC) approach to maximise the potential benefits of adding energy storage units to RTG cranes. In this work, FLC is described and simulated, with the results analysed to highlight the behaviour of the storage in association with the specific control system. An actual collected data at the Port of Felixstowe, UK has been used to develop the crane and ESS models and test the proposed control strategies in this paper. Furthermore, a comparison analysis between the FLC and the standard control system (PI) for RTG crane and ESS applications will be presented with respect to energy consumption, fuel saving and the control impact on the energy device. The simulation results of the FLC control strategy for the collected data shows that it successfully increases the energy savings by 32% and outperforms the PI controller by 26%. View Show abstract Improved DTC strategy of doubly fed induction motor using fuzzy logic controller Article Full-text available * Feb 2019 * Najib El Ouanjli * Saad Motahhir * Aziz Derouich * Mohammed Taoussi This paper presents an improved Direct Torque Control (DTC) strategy for a Doubly Fed Induction Machine (DFIM) powered by two voltage source inverters (VSI) at two levels. This strategy is based on the fuzzy logic controller. The main objective is to improve the performance of the system by reducing electromagnetic torque ripples and improving the currents shape by optimization of the total harmonic distortion (THD). The hysteresis regulators and voltage vectors selection table of the conventional DTC are replaced by fuzzy logic blocks to realize fuzzy DTC control. The two control strategies are simulated in the MATLAB/SIMULINK environment followed by a comparative analysis to validate the effectiveness of the proposed strategy. Many improvements in term of rise time, torque ripples, flux ripples and current harmonics have been done, namely stator and rotor flux ripple and torque ripple have been reduced more than 50%, 69.2% and 47.7% respectively. The stator and rotor currents THD have been reduced around 84.5% and 84.3% respectively. View Show abstract Optimal design of building environment with hybrid genetic algorithm, artificial neural network, multivariate regression analysis and fuzzy logic controller Article * Mar 2020 * BUILD ENVIRON * Zhang Tianhu * Yuanjun Liu * Yandi Rao * Qingxin Zhao Computational cost poses a major obstacle to the design of indoor environments with the current optimal method and computational fluid dynamics (CFD). A novel optimization method integrating a genetic algorithm (GA), an artificial neural network (ANN), multivariate regression analysis (MRA), and a fuzzy logic controller (FLC) was proposed in this paper to optimize the indoor environment and energy consumption based on simulation results. Thermal comfort (predicted mean vote) was set as the restrictive design objective. Indoor air quality (air age) and energy consumption were set as the optimal design objectives. Air supply parameters, such as ventilation rate, inlet temperature, and angle, were used as the design variables. The GA process was used to search for the optimal solution (individual), while the ANN and CFD tool were used to obtain the values of the objectives for each individual. MRA was used to reduce the variable space, and FLC was used to control the execution routine of the CFD process to reduce the computational cost. The results indicated that the ventilation rate has a lower impact on the design result compared with the other two design variables. When the MRA and FLC were included in the design process, the variable space and computational cost were reduced by 50% and 35.7%, respectively. The design efficiency was improved while the best found solution was maintained. View Show abstract A new technique with improved control quality of nonlinear systems using an optimized fuzzy logic controller Article * Dec 2019 * EXPERT SYST APPL * Kheireddine Lamamra * Farida Batat * Fouad Mokhtari Fuzzy logic controllers are increasingly applied to control complex systems because they have several advantages. The objective of this work is to propose a new technique to optimize a Takagi-Sugeno fuzzy logic controller with quality using the Non-dominated Sorting Genetic Algorithm-II by optimizing three objectives functions which are a cost function, the number of fuzzy inference rules, and the maximum instantaneous quadratic error. In this technique, the Multi-Criteria Decision-Making approach is used to choose one of the best controllers from the Pareto set of the last generation of the genetic algorithm. The proposed technique ensure: (i) that the output of the controlled system correctly follows the desired reference. (ii) the acceleration of the control process and (iii) avoid the existence of large overshoots; which are usually observed when applying commands to complex processes with variable behavior. At the end of the control process, a robustness test is performed to verify the efficiency of the proposed technique. It is shown here that the optimization of the third objective function, allows the improvement of the control quality. This new technique can be used to improve expert and intelligent systems based on fuzzy rules to control high complex systems with variable behavior which they have disturbing overshoots during their control. This technique; allows to accelerate the calculation of the control law of expert systems based on fuzzy rules; while ensuring that the quality of the control and the output signal are good. View Show abstract Design of a supervisory fuzzy logic controller for monitoring the inflow and purging of gas through lift bags for a safe and viable salvaging operation Article * Jan 2019 * OCEAN ENG * Arun Kumar Devaki Bhavan Velayudhan This paper presents a mathematical model and numerical time-domain approach to simulate the dynamics of a sunken ship/vessel being raised from seafloor by buoyancy (gas-inflating) systems in a form which is suitable for integrating control techniques to ensure hydrodynamic stability for a safe and viable salvaging operation. According to the two-degree-of-freedom equations of rigid-body vessel motion in diving plane, a conventional sliding mode controller is designed as the primary controller to regulate flow rate of filling gas inside the lift bags and a PID controller is designed as the secondary controller for regulating the purging of gas through the valves fitted on lift bags. Then a supervisory fuzzy logic controller is designed to monitor or switch between the primary and secondary controllers based on the buoyancy requirement. From the simulation studies, it is found that the supervisory fuzzy logic controller is capable to maintain hydrodynamic stability by suitably defining the linguistic fuzzy rules, which is created based on the author's experience in conducting numerical simulation using primary and secondary controllers. View Show abstract Automatic Design of Semantic Similarity Controllers based on Fuzzy Logics Article * Apr 2019 * EXPERT SYST APPL * Jorge Martinez-Gil * Jose M. Chaves-González Recent advances in machine learning have been able to make improvements over the state-of-the-art regarding semantic similarity measurement techniques. In fact, we have all seen how classical techniques have given way to promising neural techniques. Nonetheless, these new techniques have a weak point: they are hardly interpretable. For this reason, we have oriented our research towards the design of strategies being able to be accurate enough but without sacrificing their interpretability. As a result, we have obtained a strategy for the automatic design of semantic similarity controllers based on fuzzy logics, which are automatically identified using genetic algorithms (GAs). After an exhaustive evaluation using a number of well-known benchmark datasets, we can conclude that our strategy fulfills both expectations: it is able of achieving reasonably good results, and at the same time, it can offer high degrees of interpretability. View Show abstract Use of Orthogonal Arrays in Design of a Fuzzy Logic Controller to Predict the Proof Stress for the TIG Welded Al-65032 * May 2020 * 996-1001 * K Ankamma * P V R Reddy K. Ankamma, P.V.R. Ravindra Reddy, "Use of Orthogonal Arrays in Design of a Fuzzy Logic Controller to Predict the Proof Stress for the TIG Welded Al-65032", International Journal of Innovative Technology and Exploring Engineering (IJITEE) Volume-9 Issue-7, May 2020, pp.996-1001 RECOMMENDED PUBLICATIONS Discover more Conference Paper Full-text available INFLUENCE OF WELD PARAMETERS AND FILLER-WIRE ON FATIGUE BEHAVIOR OF MIG-WELDED AL-5083 ALLOY October 2018 * Vidit Gaur * Manabu Enoki * Toshiya Okada * [...] * Syohei Yomogida MIG welded Al-5083 alloy was investigated to study the effect of weld groove angle (70° and 90°), welding passes and filler-wire material (Al-5183 and Al-5.8%Mg) on its fatigue properties under mean stress. No significant difference of these parameters could be observed on the fatigue lives but the fatigue lives as well as the endurance limit get reduced when R-ratio was increased. A ... 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