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2月24日香港城市大学戴晖晖教授讲座预告
( 来源:   发布日期:2017-02-22 阅读:次)

 

讲座题目Modeling, Analysis and Computation of Wave Catching-up Phenomena in a Nonlinear Two-material Bar

讲 座 人:香港城市大学数学系  戴晖晖 教授

讲座时间:2017224(周五)下午15:30

讲座地点:浙江工商大学行政楼统计学院626会议室

主讲人简介:

  戴晖晖,香港城市大学数学系教授。1984年本科毕业于浙江大学数学系,1990年获英国纽卡斯尔大学博士学位。现主要从事Nonlinear waves in solids and soliton equationsMathematical modeling and analysis of phase transitions and bifurcation phenomena in solids Asymptotic methods and their applications in mechanics方面的研究,发表学术论文140余篇。

  :

Cracking induced by tensile wave at the free surface of an impacted target is an important issue in impact-resistant design. Here, we explore the use of material nonlinearity to undermine the strength of the tensile wave. More specifically, we consider waves in a two-material composite bar subjected to impact loading at one end. Multiple reflections cause a tensile wave being transmitted into the second material. The attention is on analytically and numerically studying the phenomenon that the tensile wave catches the first transmitted compressive wave. It turns out that, depending on the interval of the initial impact, catching-up phenomena can happen in two wave patterns. A general mathematical theory is provided to show the existence of these patterns together with some qualitative information. To gain more insights into such phenomena, asymptotic solutions are also constructed, which provide both qualitative and quantitative results on the requirement of the constitutive relation, the time and place at which the catching takes place, and how the initial impact, material and geometric parameters influence the solutions. Numerical simulations are also performed, confirming the validity of the analytical results. The analysis and results presented here could be useful for designing a composite structure that has a good impact-protection performance.

欢迎老师和同学们参与讨论。

 

 


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