A boundary element formulation for geometrically nonlinear analysis of shear deformable shells

T. Dirgantara; M.H. Aliabadi

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A boundary element formulation for geometrically nonlinear analysis of shear deformable shells

机译：剪切变形壳几何非线性分析的边界元公式

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摘要

A new boundary element method to solve geometrically nonlinear deflection problems of shear deformable shallow shells having quadratic mid-surface is presented. The displacement integral equations have been derived to obtain five integral equations in term of displacements—two rotations, one out-of-plane displacement and two in-plane displacements. The boundary is discretised into quadratic isoparametric elements and the domain is transferred to the boundary using the Dual Reciprocity Technique. A simple, yet efficient load incremental technique is developed to solve the nonlinear problem. Several examples are presented, and the results are in good agreement with the finite element method.

机译：提出了一种解决边界面为二次方的可剪切变形浅壳几何非线性变形问题的新边界元方法。推导了位移积分方程，以获得了五个关于位移的积分方程，即两个旋转，一个平面外位移和两个平面内位移。边界被离散成二次等参元素，并且使用双重互易技术将域转移到边界。开发了一种简单而有效的负载增量技术来解决非线性问题。给出了几个例子，结果与有限元方法非常吻合。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2006年第36期|p.4635-4654|共20页
作者
T. Dirgantara; M.H. Aliabadi;
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作者单位

Department of Aeronautics and Astronautics Engineering, Institut Teknologi Bandung, Indonesia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
boundary integral equation method; shallow shells; large deflection; reissner theory;

机译：边界积分方程法;浅壳;大挠度;Reissner理论;

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1. Phenomenological invariants and their application to geometrically nonlinear formulation of triangular finite elements of shear deformable shells [J] . Kuznetsov VV, Levyakov SV International Journal of Solids and Structures . 2009,第5期

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2. Geometrically nonlinear analysis of laminated composite thin shells using a modified first-order shear deformable element-based Lagrangian shell element [J] . Sung-Cheon Han, Ala Tabiei, Weon-Tae Park Composite Structures . 2008,第3期

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3. Dual boundary element formulation for fracture mechanics analysis of shear deformable shells [J] . Dirgantara T., Aliabadi MH. International Journal of Solids and Structures . 2001,第44a45期

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4. Least-Squares Finite Element Formulations for Shear-Deformable Plates and Shells [C] . J. P. Pontaza, J. N. Reddy Computational Mechanics . 2004

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5. Geometrically nonlinear finite element formulation of a degenerated solid element to model thin shell behavior. [D] . Wu, Tau Terry. 1995

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6. Quadratic Solid–Shell Finite Elements for Geometrically Nonlinear Analysis of Functionally Graded Material Plates [O] . Hocine Chalal, Farid Abed-Meraim 2018

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7. Phenomenological invariants and their application to geometrically nonlinear formulation of triangular finite elements of shear deformable shells [O] . Kuznetsov V.V., Levyakov S.V. 2009

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8. Continuum Mechanics Based Bi-linear Shear Deformable Shell Element Using Absolute Nodal Coordinate Formulation. [R] . Yamashita, H., Valkeapaa, A. I., Jayakumar, P., 2014

机译：基于连续介质力学的双线性剪切变形壳单元的绝对节点坐标公式。

A boundary element formulation for geometrically nonlinear analysis of shear deformable shells

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