讲座题目：Structure tensors and anisotropic invariants in nonlinear elasticity: applications to biomechanics and initially‐stressed solids 

报告人：Prof. Ray Ogden，FRS

时 间：3月31日（周四）下午2:30-3:30
地 点：力学楼434会议室
主持人：黄筑平（教授）

报告内容摘要：
     Deformation invariants play an important role in the constitutive modelling of many materials, including isotropic and anisotropic elastic materials. Such materials include fibrous biological tissues, electro-sensitive and magneto-sensitive elastomers, for which one or two preferred directions can be identified within an isotropic matrix. In these examples, invariants that depend on the preferred direction(s) are constructed and included in the constitutive law along with the usual isotropic invariants. Other examples are materials that are subject to initial (or residual) stress, in which case the initial stress acts as a structure tensor from which invariants are constructed. There are many applications of constitutive laws for initially-stressed materials, ranging from modelling the properties of arteries, to shrink-fit engineering components, to non-destructive evaluation of material properties, to seismic wave propagation problems, for example. In this talk we illustrate the use of invariants in two areas of application: (1) mechanics of the cardiovascular system, and (2) wave propagation in initially stressed materials.

报告人简介：
     His research interests are:Nonlinear elasticity theory and its applications. Mechanics of rubberlike materials, soft biological tissues, fibre-reinforced materials. Nonlinear magnetoelasticity and electroelasticity. Residual stress effects in acoustoelasticity. At present, he is 6th Century Chair in Solid Mechanics, University of Aberdeen.