Bakhshae, A., Hashemian, M. (2014). Study of The Effect of Hole Location on Stress Analysis of a Plate Subjected to Uni-axial Load by Using Numerical and Exact Solution. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 7(3), 65-72.
A. Bakhshae; M. Hashemian. "Study of The Effect of Hole Location on Stress Analysis of a Plate Subjected to Uni-axial Load by Using Numerical and Exact Solution". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 7, 3, 2014, 65-72.
Bakhshae, A., Hashemian, M. (2014). 'Study of The Effect of Hole Location on Stress Analysis of a Plate Subjected to Uni-axial Load by Using Numerical and Exact Solution', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 7(3), pp. 65-72.
Bakhshae, A., Hashemian, M. Study of The Effect of Hole Location on Stress Analysis of a Plate Subjected to Uni-axial Load by Using Numerical and Exact Solution. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2014; 7(3): 65-72.
Study of The Effect of Hole Location on Stress Analysis of a Plate Subjected to Uni-axial Load by Using Numerical and Exact Solution
1MSc Student, Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran
2Assistant Prof., Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran
Abstract
In the present study, stress analysis and explicit solution of rectangular plate with arbitrarily located circular hole, subjected to linear normal stresses on two opposite edges, has been investigated. Airy function and hoop stresses occurring at the edge of the circular have been computed. In this method 2D dimension elasticity and Airy stress function was used. The present method for explicit solution and finding airy stress function are stronger and simpler than prior methods. By using Stress function, the stress distribution around circular hole were calculated. By using obtained airy stress relation the stress distribution around the circle was obtained, plotted and compared with distribution of stress (computed by finite element method in Abaqus). This comparison shows the accuracy of this solution method. It has been observed that stress distribution of stress function is independent from hole location and only depends on the hole's size.
Article Title [Persian]
بررسی اثر موقعیت سوراخ بر تابع تنش و توزیع تنش در صفحه سوراخ‌دار به روش حل صریح و عددی
Authors [Persian]
افشین بخشایی, محمد هاشمیان
Abstract [Persian]
در مقاله حاضر تحلیل تنش و حل صریح تنش برای صفحه‌ی مستطیلی با سوراخ دایرهای با محل اختیاری، تحت تنش نرمال خطی که به دولبه‌ی آن وارد می‌شود مورد بررسی قرار گرفته است. تابع تنش ایری و توزیع تنش اطراف سوراخ دایرهای شکل بدست آمده است. در این روش از تئوری دو بعدی الاستیسیته با استفاده از تابع تنش ایری استفاده شده است. روش ارائه شده برای حل صریح، و بدست آوردن تابع تنش ایری از روش‌های قبلی حل صریح قوی‌تر و ساده‌تر است. با استفاده از تابع تنش و تنش در مختصات قطبی، توزیع تنش اطراف سوراخ دایرهای شکل محاسبه شده است. با استفاده از رابطه تنش ایری بدست آمده معادلهتوزیع تنش اطراف دایره بدست آمده و نمودار آن رسم شده و با توزیع تنش حاصل از روش المان محدود در نرم افزار آباکوس مقایسه شده است. این مقاله صحت این روش حلرا نشان می‌دهد. مشاهده می‌شود که توزیع تنش حاصل از تابع تنش از محل سوراخ مستقل بوده و فقط به اندازه سوراخ بستگی دارد.
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