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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v4.i5-6.20
pages 559-584

Consistent Loading in Structural Reduction Procedures for Beam Models

Slava Krylov
School of Mechanical Engineering, Tel Aviv University, Israel
Isaac Harari
Solid Mechanics, Materials, and Systems, Faculty of Engineering, Tel-Aviv University Ramat-Aviv, 69978, Israel
D. Gadasi
Department of Solid Mechanics Materials and Systems, Tel Aviv University, Ramat Aviv 69978, Tel Aviv, Israel

Краткое описание

In multiphysics problems, a solid body is in interaction with various three-dimensional fields that generate complex patterns of rapidly varying distributed loading on the solid. Since three-dimensional computation requires excessive resources, methods of reduction to structural models are traditionally exploited in mechanics for the analysis of slender bodies. Although such procedures are well established, the reduction of loads is often performed in an ad hoc manner, which is not sufficient for many coupled problems. In the present work, we develop rigorous structural reduction (SR) procedures by using a variational framework to consistently convert three-dimensional data to the form required by structural representations. The approach is illustrated using the Euler-Bernoulli and Timoshenko beam theories. Some of the loading terms and boundary conditions of the four resulting structural problems (namely, tension, torsion, and two bending problems), which are formulated in terms of the original three-dimensional problem, could not be derived by ad hoc considerations. Numerical results show that the use of the SR procedures greatly economizes computation and provides insight into the mechanical behavior while preserving a level of accuracy comparable with the fully three-dimensional solution.


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