论文标题

morpho-一个可编程的环境,用于形状优化和变形问题

Morpho -- A programmable environment for shape optimization and shapeshifting problems

论文作者

Joshi, Chaitanya, Goldstein, Daniel, Wennerholm, Cole, Downey, Eoghan, Hamilton, Emmett, Hocking, Samuel, Andrei, Anca, Adler, James H., Atherton, Timothy J.

论文摘要

在许多科学和工程领域的新兴主题是材料,通常会急剧改变形状。确定其结构涉及解决形状优化问题,其中将给定能量功能相对于描述结构的域和辅助场的形状最小化。这些问题的解决方案非常具有挑战性,并且缺乏易于访问且通用的合适模拟工具。为了解决这一差距,我们介绍了Morpho,一种开源可编程环境,并通过向不同物质的不同领域展示三个应用 - 溶胀水凝胶,形成非球形液滴的复杂液体,向肥皂膜和膜 - 并在更广泛的用途上建议。

An emerging theme across many domains of science and engineering is materials that change shape, often dramatically. Determining their structure involves solving a shape optimization problem where a given energy functional is minimized with respect to the shape of the domain and auxiliary fields describing the structure. Such problems are very challenging to solve and there is a lack of suitable simulation tools that are both readily accessible and general purpose. To address this gap, we present Morpho, an open-source programmable environment, and demonstrate its versatility by showcasing three applications to different areas of soft matter - swelling hydrogels, complex fluids that form aspherical droplets, to soap films and membranes - and advise on broader uses.

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