HIGHER-ORDER PLATE ELEMENTS FOR LARGE DEFORMATION ANALYSIS IN MULTIBODY APPLICATIONS

机译：多体应用中用于大变形分析的高阶板单元

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This study introduces higher-order three-dimensional plate elements based on the absolute nodal coordinate formulation (ANCF) for large deformation multibody applications. The introduced elements employ four to eight nodes and the St. Venant-Kirchhoff material law. A newly proposed eight-node element is carefully verified using various numerical experiments intended to discover possible locking phenomena. In the introduced plate elements, the usage of polynomial approximations of second order in all three directions is found to be advantageous in terms of numerical performance. A comparison of the proposed eight-node element to the introduced four-node higher-order plate elements reveals that the usage of in-plane slopes as nodal degrees of freedom has a negative effect on numerical convergence properties in thin-plate use-cases.

机译：本研究介绍了基于绝对节点坐标公式（ANCF）的高阶三维板单元，适用于大变形多体应用。引入的元素采用4到8个节点以及St. Venant-Kirchhoff物质定律。使用各种旨在发现可能的锁定现象的数值实验对新提出的八节点元素进行了仔细验证。在引入的板元件中，发现在所有三个方向上使用二阶多项式逼近在数值性能方面是有利的。拟议的八节点单元与引入的四节点高阶板单元的比较表明，将平面内斜率用作节点自由度在薄板用例中对数值收敛特性产生负面影响。

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来源
《Proceedings of the ASME international design engineering technical conferences and computers and information in engineering conference 2016》|2016年|V006T09A024.1-V006T09A024.7|共7页
会议地点 Charlotte(US)
作者
Henrik Ebel; Vesa-Ville Hurskainen; Marko K. Matikainen; Aki Mikkola;
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Institute of Engineering and Computational Mechanics University of Stuttgart 70569 Stuttgart Germany;

Mechanical Engineering Lappeenranta University of Technology 53850 Lappeenranta Finland;

Mechanical Engineering Lappeenranta University of Technology 53850 Lappeenranta Finland;

Mechanical Engineering Lappeenranta University of Technology 53850 Lappeenranta Finland;

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2. A new plate bending element based on higher-order shear deformation theory for the analysis of composite plates [J] . A.H. Sheikh, A. Chakrabarti Finite Elements in Analysis and Design . 2003,第9期

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3. Enhancement to four-node quadrilateral plate elements by using cell-based smoothed strains and higher-order shear deformation theory for nonlinear analysis of composite structures [J] . That-Hoang Lan T., Hieu Nguyen-Van, Thanh Chau-Dinh, Journal of Sandwich Structures and Materials . 2020,第7期

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4. HIGHER-ORDER PLATE ELEMENTS FOR LARGE DEFORMATION ANALYSIS IN MULTIBODY APPLICATIONS [C] . Henrik Ebel, Vesa-Ville Hurskainen, Marko K. Matikainen, International conference on multibdy systems, nonlinear dynamics, and control . 2016

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机译：多体应用的大变形板单元

HIGHER-ORDER PLATE ELEMENTS FOR LARGE DEFORMATION ANALYSIS IN MULTIBODY APPLICATIONS

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