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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Generalised self consistent homogenisation as an inverse problem
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Generalised self consistent homogenisation as an inverse problem

机译：广义自洽均匀化是一个反问题

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Usually in the framework of the self consistent scheme, the homogenised material behaviour is obtained with a symbolic approach. This paper presents a different, fully numerical procedure. We solve a coupled thermo-mechanical problem for non-linear composites with brittle long fibres and properties depending on temperature, by using our development of the generalized self-consistent method. The considered homogenisation scheme is presented as an inverse problem and Artificial Neural Networks are used to solve it. The problem is formulated for n-layered isotropic elastic-brittle cylindrical inclusions surrounded by an elasto-plastic matrix. The influence of possible yielding of the matrix and breakage of the fibres on the effective behaviour of the composite is considered. The method is finally applied to the real case of superconducting strands used for the coils of the future ITER experimental reactor. Usually in the framework of the self consistent scheme, the homogenised material behaviour is obtained with a symbolic approach. This paper presents a different, fully numerical procedure. The authors solve a coupled thermo-mechanical problem for non linear composites with brittle long fibres and properties depending on temperature, by using our development of the generalized self-consistent method. The considered homogenisation scheme is presented as an inverse problem and Artificial Neural Networks are used to solve it. The problem is formulated for n-layered isotropic elastic-brittle cylindrical inclusions surrounded by an elasto-plastic matrix. The influence of possible yielding of the matrix and breakage of the fibres on the effective behaviour of the composite is considered. The method is finally applied to the real case of superconducting strands used for the coils of the future ITER experimental reactor.
机译：通常，在自洽方案的框架中，采用象征性方法获得均质的材料行为。本文提出了一种不同的，完全数值的程序。通过使用广义自洽方法的发展，我们解决了具有脆性长纤维和取决于温度的特性的非线性复合材料的耦合热机械问题。考虑的均质化方案作为一个反问题提出，并使用人工神经网络对其进行了求解。该问题针对由弹塑性基质包围的n层各向同性弹性脆性圆柱形夹杂物提出。考虑了基体可能的屈服和纤维断裂对复合材料有效行为的影响。该方法最终应用于未来的ITER实验堆线圈中使用的超导股的实际情况。通常，在自洽方案的框架中，采用象征性方法获得均质的材料行为。本文提出了一种不同的，完全数值的程序。作者利用我们开发的广义自洽方法，解决了具有脆性长纤维和取决于温度的性能的非线性复合材料的耦合热机械问题。考虑的均质化方案作为一个反问题提出，并使用人工神经网络对其进行了求解。该问题针对由弹塑性基质包围的n层各向同性弹性脆性圆柱形夹杂物提出。考虑了基体可能的屈服和纤维断裂对复合材料有效行为的影响。该方法最终应用于未来的ITER实验堆线圈中使用的超导股的实际情况。

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