کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4966157 | 1448769 | 2017 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A penalty-based finite element framework for couple stress elasticity
ترجمه فارسی عنوان
چارچوب عنصری پایه مبتنی بر مجازات برای کشش چندگانه
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کلمات کلیدی
تئوری تنش زای دائمی، روش نقض عنصر محدود، مکانیک پیوسته وابسته به اندازه، روش های عنصر محدود متوسط تانسور انحنای، شرایط فشار هواپیما،
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Length scale based continuum mechanics can account for size dependence - a feature absent in classical theory that is becoming increasingly important in analyzing behavior of matter in micro- and nano-technology. Starting from a foundational mechanics and thermodynamics perspective, recent work has provided a self-consistent formulation to resolve certain issues associated with previous couple stress theory. In the current paper, a penalty-based finite element framework is developed to enable solution of general problems for linear elastic isotropic materials under plane strain conditions within this consistent couple stress theory (C-CST). The penalty parameter is incorporated in the formulation to satisfy continuity requirements, while allowing convergence of the method with only C0 elements. The efficacy of the finite element analysis is verified by studying three example problems for which closed form solutions are known. Furthermore, a fourth example problem for which a closed form solution is unknown is solved numerically to bring out nontrivial features of couple stress theory. The main objective of this work is to demonstrate that a simple finite element analysis-based framework can be effective in exploring the interesting features of C-CST. Additionally, detailed finite element analysis results provided in this work can be used to benchmark future computational development for size-dependent mechanics theory.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Elements in Analysis and Design - Volume 130, August 2017, Pages 65-79
Journal: Finite Elements in Analysis and Design - Volume 130, August 2017, Pages 65-79
نویسندگان
Sourish Chakravarty, Ali R. Hadjesfandiari, Gary F. Dargush,