Academic Journal

A Nonlinear Fractional BEM Model for Magneto-Thermo-Visco-Elastic Ultrasound Waves in Temperature-Dependent FGA Rotating Granular Plates

التفاصيل البيبلوغرافية
العنوان: A Nonlinear Fractional BEM Model for Magneto-Thermo-Visco-Elastic Ultrasound Waves in Temperature-Dependent FGA Rotating Granular Plates
المؤلفون: Mohamed Abdelsabour Fahmy
المصدر: Fractal and Fractional; Volume 7; Issue 3; Pages: 214
بيانات النشر: Multidisciplinary Digital Publishing Institute
سنة النشر: 2023
المجموعة: MDPI Open Access Publishing
مصطلحات موضوعية: nonlinear fractional model, boundary element method, magneto-thermo-visco-elasticity, ultrasound waves, temperature-dependent, functionally graded anisotropic materials, rotating granular plates
الوصف: The primary goal of this study is to create a nonlinear fractional boundary element method (BEM) model for magneto-thermo-visco-elastic ultrasound wave problems in temperature-dependent functionally graded anisotropic (FGA) rotating granular plates in a constant primary magnetic field. Classical analytical methods are frequently insufficient to solve the governing equation system of such problems due to nonlinearity, fractional order heat conduction, and strong anisotropy of mechanical properties. To address this challenge, a BEM-based coupling scheme that is both reliable and efficient was proposed, with the Cartesian transformation method (CTM) used to compute domain integrals and the generalized modified shift-splitting (GMSS) method was used to solve the BEM-derived linear systems. The calculation results are graphed to show the effects of temperature dependence, anisotropy, graded parameter, and fractional parameter on nonlinear thermal stress in the investigated plates. The numerical results validate the consistency and effectiveness of the developed modeling methodology.
نوع الوثيقة: text
وصف الملف: application/pdf
اللغة: English
Relation: Mathematical Physics; https://dx.doi.org/10.3390/fractalfract7030214
DOI: 10.3390/fractalfract7030214
الاتاحة: https://doi.org/10.3390/fractalfract7030214
Rights: https://creativecommons.org/licenses/by/4.0/
رقم الانضمام: edsbas.E81A1A06
قاعدة البيانات: BASE
الوصف
DOI:10.3390/fractalfract7030214