کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11026506 | 1666378 | 2019 | 27 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Coupling effect of thickness and shear deformation on size-dependent bending of micro/nano-scale porous beams
ترجمه فارسی عنوان
اثر اتصال ضخامت و تغییر شکل برش در خمش وابسته به اندازه پرتو های متخلخل میکرو / نانو مقیاس
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کلمات کلیدی
تئوری گرادیان کرنش غیرخطی، خم شدن استاتیک، اثر ضخامت اثر برشی،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
چکیده انگلیسی
A unified nonlocal strain gradient beam model with the thickness effect is developed to investigate the static bending behavior of micro/nano-scale porous beams. Size-dependent governing equations and corresponding analytical solutions for the bending of hinged-hinged beams are obtained by employing minimum total potential energy principle, the Navier solution method as well as the variational-consistent boundary conditions. For nonlocal strain gradient theory (NSGT) with thickness effect, virtual strain energy function of shear beams can contain additional nonlocal shear stress and high-order nonlocal shear stress related to the thickness direction in comparison with that of Euler-Bernoulli beam, so the coupling of the shear and thickness effects should be drawn huge attention. By means of detailed numerical analysis, it is found that, the stiffness-hardening effect is underestimated in NSGT without the thickness effect, and the stiffness-hardening and stiffness-softening effects of NSGT with the thickness effect can be not only length-dependent but also thickness-dependent. Interestingly, the generalized Young's modulus depends on half-wave number, which means that the generalized Young's modulus may be different due to applied load types. In the context of NSGT with the thickness effect, the deflection of Euler-Bernoulli beam predicted is smaller than that of shear beam, especially for thick beams. Furthermore, porosities distributed in the top or bottom of beams can possess a greater influence on the decrease of overall stiffness of beam than those distributed in the vicinity of the middle plane of beams.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 66, February 2019, Pages 527-547
Journal: Applied Mathematical Modelling - Volume 66, February 2019, Pages 527-547
نویسندگان
Haishan Tang, Li Li, Yujin Hu,