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
کلمات کلیدی
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
نویسندگان
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