کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
277701 1430239 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A computational homogenization approach for the yield design of periodic thin plates. Part II : Upper bound yield design calculation of the homogenized structure
ترجمه فارسی عنوان
یک روش همگن سازی محاسباتی برای طراحی عملکرد صفحات نازک دوره ای. قسمت دوم: محاسبه طراحی محدوده حد بالا ساختار همگن شده
کلمات کلیدی
طراحی عملکرد، تجزیه و تحلیل محدود، صفحات نازک دوره ای، تقریبی سطح عملکرد، برنامه نویسی مخروط درجه دوم روش عنصر محدود
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
چکیده انگلیسی


• Limit loads of plates in bending with homogenized strength criteria are computed.
• The yield line method is extended to numerically determined strength criteria.
• A procedure is presented to approximate the strength criteria using ellipsoids.
• A FEM upper bound approach is solved on the approximate surface using SOCP.

In the first part of this work (Bleyer and de Buhan, 2014), the determination of the macroscopic strength criterion of periodic thin plates has been addressed by means of the yield design homogenization theory and its associated numerical procedures. The present paper aims at using such numerically computed homogenized strength criteria in order to evaluate limit load estimates of global plate structures. The yield line method being a common kinematic approach for the yield design of plates, which enables to obtain upper bound estimates quite efficiently, it is first shown that its extension to the case of complex strength criteria as those calculated from the homogenization method, necessitates the computation of a function depending on one single parameter. A simple analytical example on a reinforced rectangular plate illustrates the simplicity of the method. The case of numerical yield line method being also rapidly mentioned, a more refined finite element-based upper bound approach is also proposed, taking dissipation through curvature as well as angular jumps into account. In this case, an approximation procedure is proposed to treat the curvature term, based upon an algorithm approximating the original macroscopic strength criterion by a convex hull of ellipsoids. Numerical examples are presented to assess the efficiency of the different methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Solids and Structures - Volume 51, Issue 13, 15 June 2014, Pages 2460–2469
نویسندگان
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