بررسی تأثیر انحنای گوشۀ گشودگی بر تمرکز تنش ناشی از شار حرارتی

علوم کاربردی و محاسباتی در مکانیک

مقاله 5، دوره 28، شماره 1 - شماره پیاپی 15، اسفند 1395، صفحه 63-74   

نوع مقاله: مقاله پژوهشی

شناسه دیجیتال (DOI): 10.22067/fum-mech.v28i1.43711

نویسندگان

محمد جعفری^* ؛ محمدباقر نظری

دانشگاه شاهرود

چکیده

بر پایۀ تئوری ترموالاستیسیته دوبعدی حالت پایدار میدان تنش در اطراف گشودگی های مختلف در یک صفحۀ نامحدود همسان‌گرد مورد بررسی قرار می گیرد. صفحه در بی نهایت تحت جریان حرارتی یکنواخت است و مرز گشودگی مرکزی عایق است. بااستفاده از توابع پتانسیل مختلط و به کارگیری نگاشت همنوا و حلّ معادلات انتگرالی، تأثیر انحنای گوشۀ گشودگی بر توزیع تنش اطراف گشودگی مطالعه می شود. روش حل بر پایۀ بسط روش گودیر و فلورنس است. آنها از روش متغیّر مختلط برای تحلیل تنش ورق نامحدود همسان گوشۀ گرد حاوی گشودگی دایره ای و بیضی شکل استفاده کردند. برای سادگی استفاده از انتگرال کوشی ورق نامحدود شامل گشودگی غیردایروی به ناحیة درون دایره ای به شعاع واحد نگاشته می شود. نتایج حاصل نشان می دهند که انحنای گوشۀ گشودگی تأثیر بسزایی بر توزیع تنش دارد.

کلیدواژه‌ها

نرمی گشودگی؛ تنش حرارتی؛ نگاشت همنوا؛ حلّ تحلیلی؛ شار حرارتی

سایر فایل های مرتبط با مقاله

5-jafari-EA.pdf

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