Geometrically Exact Micropolar Beam Element
Publish place: 1st International Conference on Mechanical, Electrical engineering and Engineering Sciences
Publish Year: 1400
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
MEECONF01_010
تاریخ نمایه سازی: 5 خرداد 1400
Abstract:
To investigate inhomogeneity and microstructural effects, micropolar theory (MPT) is one of the well- known generalized continuum mechanic models. Based on MPT, each material particle possesses additional micro- scale rotational degrees of freedoms (DOFs). Developed in this article is a novel three-dimensional (۳D) formulation of the micropolar theory which has the capability of being easily used in the finite element analysis (FEA) of fundamental engineering structures. For this purpose, equations of motion, constitutive relations and energy functional of the micropolar continuum are generally derived first. The obtained ۳D formulation is then reduced to that based on the geometrically exact beam theory. By including the micro-rotational DOFs, an efficient micropolar element is introduced to accommodate the microstructure character. Consequently, the bending behaviour of micropolar beams with different types of boundary conditions and scale parameters is analysed through the developed FEA. As a result, different comparisons are made between the classical and micropolar models in predicting the bending behaviour of microbeams.
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Authors
Amir Norouzzadeh
Department of Mechanical Engineering, University of Guilan, Rasht, Iran
Reza Ansari Khalkhali
Department of Mechanical Engineering, University of Guilan, Rasht, Iran