آنالیز انتشار امواج طولی در مواد گرادیان ترکیبی با استفاده از روش المان موج

نوع مقاله : مقاله کامل پژوهشی

نویسندگان

گروه مهندسی عمران، دانشکده فنی و مهندسی مرند، دانشگاه تبریز

10.22034/ceej.2025.62180.2366

چکیده

این مقاله به بررسی پدیده پیچیده انتشار امواج طولی در مواد گرادیان ترکیبی (FGM) می‌پردازد. برخلاف مواد همگن سنتی که خواص ثابتی در سراسر ساختار خود دارند، مواد FGM تغییرات پیوسته‌ای در خواص خود در سراسر ساختارشان نشان می‌دهند. این ناهمگنی ذاتی، چالش‌های منحصربه فردی را برای تحلیل رفتار انتشار امواج ایجاد می‌کند. این مطالعه از روش المان موج که یک تکنیک عددی قدرتمند و رایج برای حل مسائل دینامیکی در سازه‌های پیچیده است، استفاده می‌کند. این روش با در نظر گرفتن تغییرات تدریجی خواص ماده در طول میله، امکان تحلیل مؤثر انتشار امواج در FGM را فراهم می‌کند. نتایج به­دست آمده، تفاوت‌های قابل توجهی را در انتشار امواج بین مواد FGM و مواد همگن نشان می‌دهد. در مواد FGM، ویژگی‌های موج مانند سرعت، طول موج و دامنه، به­طور پیوسته در طول ماده تغییر می‌کنند. این رفتار متمایز را می‌توان مستقیماً به ناهمگنی خواص ماده در FGM نسبت داد. این یافته، اهمیت در نظر گرفتن تغییرات خواص ماده را در مقایسه با مواد همگن، هنگام تحلیل انتشار امواج در FGM برجسته می‌کند.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Analysis of Longitudinal Wave Propagation in Functionally Graded Materials (FGMs) Using Wave Element Method

نویسندگان [English]

  • Mohsen Mirzajani
  • Kambiz Falsafian
Department of Civil Engineering, Marand Technical Faculty, University of Tabriz, Tabriz 5166616471, Iran
چکیده [English]

This paper investigates the complex phenomenon of longitudinal wave propagation in functionally graded materials (FGMs). Unlike traditional homogeneous materials with constant properties, FGMs exhibit a continuous variation in properties across their structure. This inherent inhomogeneity presents unique challenges for analyzing wave propagation behavior. The study employs the wave element method, a powerful numerical technique commonly used for solving dynamic problems in complex structures. This method allows for the effective analysis of wave propagation in FGMs by incorporating the gradual variations in material properties along the length of the rod. The obtained results reveal significant differences in wave propagation between FGMs and homogeneous materials. In FGMs, wave characteristics like velocity, wavelength, and amplitude continuously vary along the material. This distinct behavior can be directly attributed to the inhomogeneity of material properties within the FGM. This finding underscores the importance of considering material property variations when analyzing wave propagation in FGMs compared to their homogeneous counterparts.

کلیدواژه‌ها [English]

  • Wave propagation
  • Functionally graded materials
  • Wave element method
  • Inhomogeneity
  • Material properties
Aslam M, Park J, Lee J, “A comprehensive study on guided wave dispersion in complex structures”, International Journal of Mechanical Sciences, 2024, 269, 109089. https://doi.org/10.1016/j.ijmecsci.2024.109089
Belabed Z, Abdeldjebbar T, Abdelmoumen, AB, Abdelouahed T, Yaylacı M, “Accurate free and forced vibration behavior prediction of functionally graded sandwich beams with variable cross-section: A finite element assessment”, Mechanics Based Design of Structures and Machines, 2024, 1-34. https://doi.org/10.1080/15397734.2024.2337914
Chakraborty A, Gopalakrishnan S, “Various numerical techniques for analysis of longitudinal wave propagation in inhomogeneous one-dimensional waveguides”, Acta mechanica, 2003, 162 (1), 1-27. https://doi.org/10.1007/s00707-003-1014-5
Chakraborty A, Gopalakrishnanm S, “Wave propagation in inhomogeneous layered media: solution of forward and inverse problems”, Acta Mechanica, 2004, 169, 1, 153-185. https://doi.org/10.1007/s00707-004-0080-7
Chaubey AK, Ajay K, Chakrabarti A, “Novel shear deformation model for moderately thick and deep laminated composite conoidal shell”, Mechanics Based Design of Structures and Machines, 2018, 46 (5), 650-668. https://doi.org/10.1080/15397734.2017.1422433
Doyle JF, Doyle JF, “Wave propagation in structures (pp. 126-156)”, Springer US, 1989.
Gavassino LMD, Noronha J, “Dispersion relations alone cannot guarantee causality”, Physical review letters, 2024, 132 (16), 162301. https://doi.org/10.1103/PhysRevLett.132.162301
Gopalakrishnan S, “Wave propagation in materials and structures”, Crc Press, 2016.
Khaji N, Mirzajani M, Hori M, “Analysis of elastic pulse dispersion in periodically layered composite rods using wave finite element method”, International Journal of Applied Mechanics, 2021, 13 (05), 2150050. https://doi.org/10.1142/S1758825121500502
Koutoati K, Foudil M, Carrera E, “A finite element approach for the static and vibration analyses of functionally graded material viscoelastic sandwich beams with nonlinear material behavior”, Composite Structures, 2021, 274, 114315. https://doi.org/10.1016/j.compstruct.2021.114315
Li C, Shen H, Yang J, “Low-velocity impact response of cylindrical sandwich shells with auxetic 3D double-V meta-lattice core and FG GRC facesheets”, Ocean Engineering, 2022, 262, 112299. https://doi.org/10.1016/j.oceaneng.2022.112299
Liu C, Yu J, Xu W, Zhang X, Wang X, “Dispersion characteristics of guided waves in functionally graded anisotropic micro/nano-plates based on the modified couple stress theory”, Thin-Walled Structures, 2021, 161, 107527. https://doi.org/10.1016/j.tws.2021.107527
Lu Q, Chunchuan L, Peng W, “Band gap enhancement and vibration reduction of functionally graded sandwich metastructure beam”, Composite Structures, 2022, 292. 115650. https://doi.org/10.1016/j.compstruct.2022.115650
Mirzajani M, Khaji N, Muneo H, “Wave propagation analysis of micropolar elastic beams using a novel micropolar wave finite element method”, Mechanics of advanced materials and structures, 2021, 28 (6), 551-567. https://doi.org/10.1080/15376494.2019.1572844
Mirzajani M, Khaji N, Hori M, “Stress wave propagation analysis in one-dimensional micropolar rods with variable cross-section using micropolar wave finite element method”, International Journal of Applied Mechanics, 2018, 10 (04), 1850039. https://doi.org/10.1142/S1758825118500394
Pshenichnov S, Ivanov R, Datcheva M, “Transient wave propagation in functionally graded viscoelastic structures”, Mathematics, 2022, 10 (23), 4505. https://doi.org/10.3390/math10234505
Shorr BF, “The wave finite element method in Foundation of Engineering Mechanics Series”, Springer-Verlag Berlin Heidelberg New York, 2004.
Swaminathan K, Naveenkumar DT, Zenkour AM, Carrera E, “Stress, vibration and buckling analyses of FGM plates-A state-of-the-art review”, Composite Structures, 2015, 120, 10-31. https://doi.org/10.1016/j.compstruct.2014.09.070
Touboul M, Vial B, Assier R, Guenneau S, Craster RV, “High-frequency homogenization for periodic dispersive media”, Multiscale Modeling and Simulation, 2024, 22 (3), 1136-1168. https://doi.org/10.1137/23M159648X
Zhang B, Wang XHL, Elmaimouni J, Yu G, Zhang XM, “Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders”, Mathematics and Mechanics of Solids, 2022, 27 (1), 125-143. https://doi.org/10.1177/10812865211013458