SOFT-PATTERN

尽管软材料中的图案形成由于其在多个科学和工程领域中的有前途的应用而被广泛研究，但由于大变形引起的控制方程的高度非线性，例如局部脊和复杂的3D模式，在许多情况下图案形成的机制仍然不清楚。对于厚衬底上的刚性薄层，另一种方法是推导系统的简化模型。然而，大多数现有的简化模型是不自洽的，许多非线性项被忽略，没有适当的理由。这严重妨碍了它们的有效性，因此上述模式的数学性质和附加因素（材料不均匀性和各向异性）的影响没有被揭示。该项目的EQUIP-PATTERN是通过开发数学上一致的和准确的简化模型，考虑材料和几何非线性，以创新和原创的方式克服这些挑战。研究工作将从理论，数值和实验方面进行，基于申请人和主机实验室的专业知识。详尽的培训计划将使申请人成长为该领域的世界级研究人员。拟议的研究将促进这一方向的进一步发展，并为具有社会重要性的先进和智能技术做出贡献。申请人为中国公民，在香港接受过应用数学和非线性弹性方面的专业训练。他在高影响因子期刊上发表了应用数学和其他学科前沿的文章，并获得了中国国家自然科学基金的两项竞争性赠款，展示了研究的独立性和领导力。他正在申请两年的资金，与Alain Goriely FRS教授在牛津的团队合作。计划在基尔、努伊高威和卡迪夫借调三名人员。

Although pattern formation in soft materials has been studied extensively due to its promising applications in multiple science and engineering fields, the mechanisms of pattern formation in many cases are still unclear due to the high nonlinearity of the governing equations induced by large deformations, for instance, localized ridges and complex 3D modes. For stiff thin layer coated to a thick substrate, an alternative approach is to derive reduced models for the system. However, most existing reduced models are not self*consistent and many nonlinear terms are neglected without proper justifications. This seriously hampers their validity and as a result the mathematical nature of the above mentioned modes and the effect of additional factors (material inhomogeneity and anisotropy) are not unveiled. The project SOFT-PATTERN is to overcome these challenges in an innovative and original way by developing mathematically consistent and accurate reduced models accounting for material and geometric nonlinearities. The research work will be approached from theoretical, numerical, and experimental aspects, based on the applicant's and the host laboratory's expertise. The exhaustive training programme will allow the applicant to grow as a world-class researcher in this field. The proposed research will foster further development in this direction and contribute to advanced and intelligent technologies of societal importance. The applicant is a Chinese national, with a solid background in applied mathematics and nonlinear elasticity trained in Hong Kong. He has published articles in high-impact factor journals, at the frontiers of applied mathematics and other disciplines, and has won two competitive grants from the National Natural Science Foundation of China, demonstrating independence and leadership in research. He is requesting funds for two years, to work with Prof. Alain Goriely FRS's team at Oxford. Three secondments at Keele, NUI Galway, and Cardiff are planned.