An Extended Finite Element Method (XFEM) Study on the Elastic T-Stress Evaluations for a Notch in a Pipe Steel Exposed to Internal Pressure

Yakoubi, Khadija; Montassir, Soufiane; Moustabchir, Hassane; Elkhalfi, Ahmed; Pruncu, Catalin I.; Arbaoui, Jamal; Farooq, Muhammad Umar

doi:10.3390/math9050507

Cited by 16 publications

(13 citation statements)

References 43 publications

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“…They also consider the multifunctional problem and multivariable structured model which is very much beneficial for the future research work. In the reference [28], the authors studied the behavior of the elasticity of a notch with proper mathematical equation and necessary simulation that is often used to design a linear or nonlinear mechanical system. However, any normal nonlinear system can be realized using some piecewise linear model which is discovered at least 70 years back.…”

Section: Dynamics Of Mechanical System-a Literature Reviewmentioning

confidence: 99%

“…The two series in the parentheses of the above equation (28), are nothing but the power series expansion of two linearly independent solutions of equation ( 13) and the coefficients are called arbitrary coefficient. In the next section we will be verifying the validity of the two linearly independent solutions of equation( 28) via simulation.…”

Section: 2series Solution Of the Nonlinear Dynamical Equationmentioning

confidence: 99%

See 1 more Smart Citation

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Chakraborty¹,

Bhattacharjee²,

Roy³

et al. 2022

YMER

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Any mechanical system can easily be analyzed with the help of proper designing or modeling. All kinematical constrains are also been considered at the time of modeling. Generally the traditional dynamical differential equations are solved to predict the nature of the system. In this work, some typical types of dynamical mechanical system in taken into consideration and further the dynamical equations are being solved using ‘Series Solutions Technique’ for the analysis of the nonlinear system. The solution is consisting of two sections. Using frequency response analysis via simulation, which section of the solution is more suitable or effective for the designing purpose has also been explained in detail. Finally, the local stability analysis of the entire system is studied in detail with proper numerical simulation. Keywords: Nonlinearity, Series Solution, Stability Analysis, Phase Portrait, Frequency Response Function.

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Section: Dynamics Of Mechanical System-a Literature Reviewmentioning

confidence: 99%

Section: 2series Solution Of the Nonlinear Dynamical Equationmentioning

confidence: 99%

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Chakraborty¹,

Bhattacharjee²,

Roy³

et al. 2022

YMER

View full text Add to dashboard Cite

show abstract

“…When machining HSLA steel, tool nose wear results to be precarious because of the high essential cutting forces. Normally, tool nose wear formation is ascribable to both the abrasion and adhesion onto the cutting edge which ultimately generates the chipping effect [41] which often leads to crack propagation because of forces [44]. These wear mechanisms which frequently overlap decisive a cutting edge dimensional loss resulting in geometrical variations of the machined workpiece [38].…”

Section: Tool Wear/life Analysismentioning

confidence: 99%

Parametric analysis of turning HSLA steel under minimum quantity lubrication (MQL) and nanofluids-based minimum quantity lubrication (NF-MQL): a concept of one-step sustainable machining

Javid

Jahanzaib

Jawad

et al. 2021

Int J Adv Manuf Technol

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The requirement of cost-effective and ecological production systems is crucial in the competitive market. In this regard, the focus is shifted towards sustainable and cleaner machining processes. Besides the clean technologies, effective parametric control is required for machining materials (such as High Strength Low Alloy Steels) specifically designed for high strength applications having superior physio-chemical properties. Therefore, the machinability complexities require optimized solutions to reduce temperature elevation and tooling costs and improve machining of these materials. Complying to the market needs, this research examines the effectiveness of nanofluid on tool life, wear mechanisms, surface roughness (Ra), surface morphology, and material removal rate (MRR) in turning of 30CrMnSiA (HSLA) using minimum quantity lubrication (MQL) and SiO2-H2O nanofluids (NF-MQL). A systematic investigation based on physical phenomena involved is carried out considering four process parameters (cutting speed (VC), feed rate (Fr), depth of cut (DOC), and mode of lubrication for machining. Fr is found as the vital parameter for surface roughness while MRR is highly influenced by DOC regardless of lubrication approach. One-step sustainability technique is applied, in which process variables used for roughing conditions are analogous to attain surface comparable to finished machining without compromising process efficiency and demonstrate its feasibility through optimal settings under NF-MQL. Multi-response optimization proved the NF-MQL machining condition as the best alternative which result in 28.34% and 5.09% improvements for surface roughness and MRR, respectively. Moreover, the use of SiO2 is recommended over MQL due to lower energy consumption, low tool wear, and better surface integrity, sustainable liquid, and related costs.

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“…Therefore, the repair and maintenance activities are preferred to reuse the defective tools to lower capital investment. The potential defects which require repairing action are dents, plastic deformation, wear, and crack [6,7]. The plastic deformation is caused due to excessive use and fatigue loading on the die face.…”

Section: Introductionmentioning

confidence: 99%

Reducing the geometrical machining errors incurred during die repair and maintenance through electric discharge machining (EDM)

Ishfaq

Farooq

Pruncu

2021

Int J Adv Manuf Technol

Self Cite

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The importance of geometrical accuracy can never be overruled in dies and molds which governs the dimensional precision of the parts being manufactured. The continuous use of such tooling requires repair and maintenance. Among the different processes used to upkeep the dimensional consistency of the tooling, machining is essentially required in most cases. The intricacy of the dies and molds’ cavities requires the use of electric discharge machining (EDM). However, in EDM it is challenging to develop control over the machined dimensions owing to the inherent issues of overcut/undercut. This aspect was not comprehensively investigated so far which is the core focus of this research. Three electrode materials, namely, copper, graphite, and tungsten carbide, which belong to the category of metals, nonmetals, and ceramics, respectively, have been compared for the said perspective on the comprehensive list of parametric variables. The results revealed that the average value of the axial errors is 2.5 times lesser in comparison to lateral dimensional errors. In the case of lateral dimensional errors, the electrode of graphite has proved to be a promising choice in comparison to the other two types of electrode materials, namely, copper and tungsten carbide. The copper electrode is noticed to be the most appealing option for reducing axial error (A.E). The mean A.E obtained with Cu electrode is 80.9% and 47.6% lower than that achieved in case graphite and tungsten carbide, respectively. Furthermore, the optimal parametric combination based on 7 variables has also been proposed using desirability analyses whose validity is proved during confirmation trials.

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An Extended Finite Element Method (XFEM) Study on the Elastic T-Stress Evaluations for a Notch in a Pipe Steel Exposed to Internal Pressure

Cited by 16 publications

References 43 publications

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Parametric analysis of turning HSLA steel under minimum quantity lubrication (MQL) and nanofluids-based minimum quantity lubrication (NF-MQL): a concept of one-step sustainable machining

Reducing the geometrical machining errors incurred during die repair and maintenance through electric discharge machining (EDM)

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