علوم و فناوری کامپوزیت

علوم و فناوری کامپوزیت

تأثیر تخلخل و ناهمگنی خواص بر پاسخ گذرا ترموالاستیک یک ورق‌ هدفمند: رویکردی مبتنی بر تئوری لرد–شولمن

نوع مقاله : مقاله پژوهشی

نویسندگان
1 استادیار، مهندسی مکانیک، دانشگاه شهید بهشتی، تهران.
2 دانشجوی دکترا، مهندسی مکانیک، دانشگاه شهید بهشتی، تهران .
3 دانشجوی دکترا، مهندسی مکانیک، دانشگاه علم و صنعت ایران، تهران.
4 کارشناس ارشد، مهندسی هوافضا، دانشگاه علم و صنعت ایران، تهران.
چکیده
مواد هدفمند تابعی به‌عنوان دسته‌ای از مواد پیشرفته با ساختاری ناهمگن شناخته می‌شوند که خواص مکانیکی آن‌ها به‌صورت پیوسته از یک سطح به سطح دیگر تغییر می‌کند. این تغییرات ناشی از توزیع تدریجی نسبت حجمی مواد تشکیل‌دهنده در راستای ضخامت سازه است. در این مقاله، پاسخ دینامیکی ترموالاستیک گذرای یک ورق مستطیلی هدفمند متخلخل تحت اثر شوک حرارتی زمانی، با تکیه بر تئوری لرد-شولمن مورد بررسی قرار گرفته است. در ادامه، پس از اعمال بار حرارتی وابسته به زمان به ورق هدفمند متخلخل، تحلیل عددی سه‌بعدی بر پایه تئوری لرد-شولمن و روش فضای حالت انجام شده است. حل معادلات حاکم شامل مؤلفه‌های تنش، جابجایی، دما و شار حرارتی با استفاده از روش دوربین و وارون‌سازی عددی تبدیل لاپلاس برای ورق با شرایط مرزی ساده ‌تکیه‌گاهی صورت گرفته است. درنهایت، با در نظر گرفتن انواع مختلف تخلخل‌ها، اثر پارامترهای گوناگونی از جمله نوع تخلخل، ضریب تخلخل، زمان و پارامتر غیرهمگن بر توزیع و مقدار دما، جابجایی و تنش‌ها بررسی شده‌اند. نتایج حاصل نشان می‌دهد که تغییرات این پارامترها تأثیر قابل‌توجهی بر رفتار گذرای ورق هدفمند دارد. همچنین، با انتخاب بهینه توزیع کسر حجمی و مشخصات تخلخل، امکان طراحی بهینه سازه‌های هدفمند فراهم می‌گردد. تأکید این پژوهش بر ارتباط مستقیم بین پارامترهای ساختاری و پاسخ‌های مکانیکی و حرارتی، راهگشای مهندسان در بهینه‌سازی عملکرد سازه‌های هدفمند در کاربردهای پیشرفته صنعتی خواهد بود.
کلیدواژه‌ها

موضوعات


عنوان مقاله English

Effect of porosity and gradation on transient thermoelastic response of a functionally graded plate: A Lord–Shulman theory-based approach

نویسندگان English

Zahra Daneshjoo 1
Amirmahdi Mostafapour 2
Ali Tarkashvand 3
Amirhossein Ghomi Foroushani 4
1 Faculty of Mechanical Engineering and Energy, Shahid Beheshti University, Tehran, Iran .
2 Faculty of Mechanical Engineering and Energy, Shahid Beheshti University, Tehran, Iran .
3 School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran.
4 School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran.
چکیده English

Functionally graded materials (FGMs) are an advanced class of heterogeneous materials whose mechanical properties vary continuously through the thickness due to gradual changes in the volume fractions of constituent phases. This study investigates the transient thermoelastic response of a porous functionally graded rectangular plate subjected to a time-dependent thermal shock within the framework of the Lord–Shulman generalized thermoelasticity theory. A comprehensive three-dimensional numerical analysis is carried out using the state-space method in conjunction with the Lord–Shulman model. The coupled governing equations for stress components, displacements, temperature, and heat flux are solved through the differential quadrature method combined with numerical inversion of the Laplace transform, under simply supported boundary conditions. The parametric study explores the influence of porosity type, porosity coefficient, time, and gradation parameter on the spatial distribution and magnitudes of temperature, displacement, and stresses. The results reveal that these parameters significantly affect the transient thermoelastic behavior of the functionally graded plate. Furthermore, optimizing the volume fraction distribution and porosity characteristics can enhance the performance of porous FGM structures. These findings underscore the critical role of structural and material parameters in controlling coupled thermal–mechanical responses and provide practical insights for the optimal design of FGMs in advanced engineering applications.

کلیدواژه‌ها English

Functionally graded materials
Thermoelasticity
Porous functionally graded plate
State space method
Lord–Shulman theory
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