On the calculation of Topological Derivatives considering an exemplary nonlinear material model

On the calculation of Topological Derivatives considering an exemplary nonlinear material model
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考虑示例性非线性材料模型的拓扑导数计算

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
A. Schumacher
A. Schumacher
中科院分区:
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文献类型:
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作者:
Katrin Weider;A. Schumacher

文献摘要

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在这方面的贡献,一个新的方法来处理材料的非线性结构优化。该方法结合了弹性问题中拓扑导数计算的优势,并使用Meta建模来捕获复杂的相关性。对于示例性非线性材料模型,示出了拓扑导数的计算以及与线性弹性材料模型的所得差异。通过一个算例说明了线性材料模型和非线性材料模型的区别。© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA,魏因海姆)
In this contribution, a new approach for dealing with material nonlinearities in structural optimization is presented. The method combines the advantage of the calculation of the Topological Derivatives in elasticity problems with the use of meta‐modelling for capturing complex correlations. For an exemplary nonlinear material model, the calculation of the Topological Derivative and the resulting difference to the linear elastic material model is shown. An academic example shows the difference between the linear and the nonlinear material model. © 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)