تحلیل تنش اتصال چسبی تک لبه بر اساس مدل فوندانسیون سه پارامتری ویسکوالاستیک
محورهای موضوعی : یافته های نوین کاربردی و محاسباتی در سیستم های مکانیکی
مهدی ویسی تبار
1
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آرش رضا
2
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یونس شکاری
3
1 - گروه مهندسی مکانیک، واحد اهواز، دانشگاه آزاد اسلامی، اهواز، ایران
2 - گروه مهندسی مکانیک، واحد اهواز، دانشگاه آزاد اسلامی، اهواز، ایران
3 - گروه مهندسی مکانیک، دانشکده فنی و مهندسی، دانشگاه یاسوج، یاسوج، ایران
کلید واژه: اتصال چسبی تک لبه, مدل فونداسیون سه پارامتری ویسکوالاستیک, تنش تورق, روش عددی تبدیل لاپلاس معکوس گیور- استفست.,
چکیده مقاله :
در این مطالعه، به بررسی توزیع تنش اتصال چسبی تک لبه با چسب شونده های ایزوتروپ و با استفاده از مدل فوندانسیون سه پارامتری ویسکوالاستیک پرداخته شده است. در این مدل تنش برشی در راستای ضخامت چسب ثابت و تنش قائم در این راستا متغیر فرض شده است. همچنین برای مدل سازی رفتار ویسکوالاستیک چسب از مدل زنر استفاده گردیده و معادلات دیفرانسیلی حاکم به کمک معادلات تعادل و ساختاری در فضای لاپلاس استخراج شده است. سپس به طور هم زمان معادلات مذکور حل و به کمک روش عددی لاپلاس معکوس گیور- استفست نتایج از فضای لاپلاس به فضای زمان تبدیل شده است. در انتها نتایج حاصل از تحلیل مذکور با نتایج المان محدود در یک اتصال نامتقارن مقایسه گردیده است که نتایج انطباق بسیار مناسبی را نشان می دهند. بیشترین کاهش تنش برشی در نیم میلیمتری انتهای ناحیه هم پوشانی در سمت چسب شونده برنجی و بیشترین کاهش تنش تورق با گذشت زمان در نیم میلیمتری انتهای ناحیه هم پوشانی در سمت چسب شونده آلومینیومی رخ می دهد. میزان کاهش تنش بعد از حدود 11 روز بسیار کاهش یافته و به حالت پایدار می رسد.
In this study evaluated stress distribution at the adhesively-bonded single-lap joints under tensile loading with isotropic adherends using a three-parameter viscoelastic foundation model. In this model, assumed shear stress is constant and peel stress is different along thickness of adhesive layer. In this study, the adhesive layer is modeled as a three-parameter viscoelastic foundation using the Zener model and the governing differential equations are derived using equilibrium equations and constitutive equations in Laplace’s domain. Then simultaneously solving them, the Gaver-Stehfest inverse Laplace transform method is used to obtain the equations in the time domain. At the end, results obtained of this model compare with the results of finite element that there are good agreement between them. Maximum reduction of shear stress occurs at 0.5mm last end of the overlap of Brass adherend and Maximum reduction of Pell stress occurs at 0.5mm last end of the overlap of Aluminum adherend. Reduction of stress with pass time after about 11 days near to zero and it stable.
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