Material model based on NURBS response surfaces

Coelho Marianna; Roehl Deane M.; Bletzinger Kai Uwe

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Material model based on NURBS response surfaces

机译：基于NURBS响应面的材料模型

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摘要

The development of new and complex models is typically required to gain an understanding of advanced materials and structures. The accuracy of a structural response obtained from finite element analysis is highly dependent on the extent to which a material model represents actual material behavior. This study proposes the application of rational surfaces to provide a smooth response surface for membrane material behavior. Constitutive material tensor is calculated by using the derivatives of rational surfaces. The surfaces possess two axes of strain and an axis of stress. The methodology is validated based on classical hyperelastic models. A set of results from an aluminum testing program illustrates the response surface construction procedure from the test results. The results indicate that it is easy to implement an extension of finite element codes to include the response surface approach based on NURBS.

机译：通常需要开发新的复杂模型，以了解高级材料和结构。通过有限元分析获得的结构响应的精度高度依赖于材料模型代表实际材料行为的程度。这项研究提出了合理表面的应用，以提供用于膜材料行为的平滑响应表面。通过使用有理曲面的导数来计算本构材料张量。这些表面具有两个应变轴和一个应力轴。该方法基于经典的超弹性模型进行了验证。铝测试程序的一组结果说明了测试结果的响应表面构造过程。结果表明，很容易实现有限元代码的扩展以包含基于NURBS的响应面方法。

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来源
《Applied Mathematical Modelling》 |2017年第11期|574-586|共13页
作者
Coelho Marianna; Roehl Deane M.; Bletzinger Kai Uwe;
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作者单位

Departamento de Engenharia Civil, Universidade do Estado de Santa Catarina, Rua Paulo Malschitzki, Joinville, SC, Brazil;

Instituto Tecgraf and Departamento de Engenharia Civil, Pontificia Universidade Catolica do Rio de janeiro, Rua Marques de Sao Vicente 225, Rio de Janeiro, RJ, Brazil;

Lehrstuhl fuer Statik, Technische Universitaet Muenchen, Arcisstrasse 21, Muenchen, Germany;

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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
关键词
Material model; NURBS surface; Response surface;

机译：材料模型;NURBS表面;响应面;

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Material model based on NURBS response surfaces

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