کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6915349 1447396 2018 40 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity
چکیده انگلیسی
The Timoshenko beam bending problem is formulated in the context of strain gradient elasticity for both static and dynamic analysis. Two non-standard variational formulations in the Sobolev space framework are presented in order to avoid the numerical shear locking effect pronounced in the strain gradient context. Both formulations are shown to be reducible to their locking-free counterparts of classical elasticity. Conforming Galerkin discretizations for numerical results are obtained by an isogeometric Cp−1-continuous approach with B-spline basis functions of order p≥2. Convergence analyses cover both statics and free vibrations as well as both strain gradient and classical elasticity. Parameter studies for the thickness and gradient parameters, including micro-inertia terms, demonstrate the capability of the beam model in capturing size effects. Finally, a model comparison between the gradient-elastic Timoshenko and Euler-Bernoulli beam models justifies the relevance of the former, confirmed by experimental results on nano-beams from literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 339, 1 September 2018, Pages 137-159
نویسندگان
, ,