Multiparametric Analysis of High Contrast Elastic Laminates
活动时间:
Julius Kaplunov 院士
报告嘉宾:
2023年4月24日(周一)19:00
主办单位:
重庆大学国际合作与交流处、重庆大学航空航天学院
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报告人介绍
Julius Kaplunov 院士
Julius Kaplunov教授,欧洲科学院院院士,现任职于英国Keele大学,著名的力学、应用数学领域国际专家。他在多尺度建模、渐近和混合方法、波传播和薄弹性结构等方面有着卓越的研究成果,在国际顶级期刊发表了超过170篇高影响力的学术论文,获得了多项学术奖项和荣誉,包括俄罗斯国家科学技术年度最高奖项。[Biography: Prof. Julius Kaplunov is a leading international authority in mechanics and applied mathematics, including the areas of multiscale modelling, asymptotic and hybrid methods, wave propagation, and thin elastic structures. He has received his PhD and DSc from the Institute for Problems in Mechanics. Moscow. Before joining Keele University, UK, Prof Kaplunov has been affiliated with the Institute for Problems in Mechanics and later with Manchester and Brunel Universities in the UK. He has over 170 influential publications, including several books, in particular the advanced research monograph ‘Dynamics of Thin Walled Elastic Bodies’, co-authored by L.Yu.Kossovich and E.V.Nolde and published by Academic Press. Prof Kaplunov enjoys major academic honors and awards, including the election to the European Academy of Sciences and the participation in the research team awarded by the most prestigious Russian State Annual Prize in Science and Technology. He sits on the editorial boards of a variety of international journals, e.g., Math Mech Solids, Mech Time Dep Mater, PMM J Appl Math Mech, and IMA J Appl Math. Prof Kaplunov delivered numerous invited presentations, including keynote and plenary lectures, at major scientific meetings and participated in organizing of over 20 research events all over the world. His research was supported by major funding bodies, such as EPSRC, Royal Society, LMS, RNF, RFBR, ARRC, British Council, and INTAS. Prof Kaplunov held visiting professorships in top research led Universities, e.g., University of Alberta, City University of Hong Kong, Tel-Aviv University, University of Salford, University of Modena, Anadolu University, and University of Bordeaux-1, and stayed at TU Munich and RWTH Aachen as a Humboldt Fellow.]
报告简介
The results of multiparametric analysis of thin multilayer structures are discussed. The focus is on the effect of strong vertical inhomogeneity associated with the contrast of mechanical and geometric parameters of the layers, including their thickness, stiffness, and density. This piece of work is inspired by various engineering applications, including but not restricted to modelling of laminated glass, solar panels, and modern building panel designs. It is established that in the case of a strong contrast, additional low-frequency oscillation modes can be excited in beams, plates, and shells. These are closely related to slow decaying boundary layers earlier observed in statics, e.g. see C.O. Horgan in J Comp Mater 16 (1982). As a result, the order of the corresponding two-dimensional equations increases, which in turn leads to an increase in the number of boundary conditions. To formulate the latter, the classical Saint-Venant principle is generalized to strongly inhomogeneous bodies. As illustrative examples, three-layer plates are considered, including those of an asymmetric structure.