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首頁> 外文期刊>International Journal for Numerical Methods in Engineering >A multi-scale modeling method for heterogeneous structures without scale separation using a filter-based homogenization scheme
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A multi-scale modeling method for heterogeneous structures without scale separation using a filter-based homogenization scheme

機譯：使用基于濾波器的均化方案對不進(jìn)行尺度分離的異構(gòu)結(jié)構(gòu)進(jìn)行多尺度建模的方法

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摘要

A method is proposed to compute the response of highly heterogeneous structures by constructing homogenized models when no scale separation can be assumed. The technique is based on an extended homogenization scheme where the averaging operators are replaced by linear filters to cut off fine scale fluctuations, while maintaining locally varying mechanical fields with larger wavelength. As a result, the constitutive law at an intermediate scale, called mesoscale, arises to be naturally nonlocal by construction, where the kernel operator is fully constructed by computations on the unit cell associated with the microstructure. A displacement-based numerical strategy is developed to implement the technique in a classical finite element framework and does not require higher-order elements. The methodology is applied to construct simplified models of heterogeneous structures subjected to loads, which have a characteristic wavelength comparable with the dimensions of the heterogeneities or in presence of strong strain localization as in cracked heterogeneous structures. Copyright (C) 2016 John Wiley & Sons, Ltd.
機譯：提出了一種在不考慮尺度分離的情況下，通過構(gòu)造均質(zhì)模型來計算高度異質(zhì)結(jié)構(gòu)的響應(yīng)的方法。該技術(shù)基于擴展的均質(zhì)化方案，其中平均算子被線性濾波器取代，以消除小規(guī)模的波動，同時保持具有較大波長的局部變化的機械場。結(jié)果，在中間尺度上的本構(gòu)定律，稱為中尺度，由于構(gòu)造而變得自然地是非局部的，其中通過對與微結(jié)構(gòu)相關(guān)聯(lián)的晶胞進(jìn)行計算來完全構(gòu)造核算子。開發(fā)了基于位移的數(shù)值策略以在經(jīng)典的有限元框架中實現(xiàn)該技術(shù)，并且不需要高階元素。該方法適用于構(gòu)造承受載荷的異質(zhì)結(jié)構(gòu)的簡化模型，該模型具有與異質(zhì)尺寸相當(dāng)?shù)奶卣鞑ㄩL，或者在破裂的異質(zhì)結(jié)構(gòu)中存在強應(yīng)變局部化。版權(quán)所有（C）2016 John Wiley＆Sons，Ltd.

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