Mathematical Sciences: Problems in Nonliner Continuum Mechanics

将开展一系列连续介质力学数学问题的理论工作。它们包括：a)粘弹性介质中的非线性波传播；b)具有弯曲刚度的薄板；c)膜结构中的准凸化储能函数。其目的是为薄膜和网络(如布料和电缆网络)的大变形提供一个连贯的一般理论，并在该理论范围内发展求解边值问题的近似方法。这项研究对土木工程和机械工程中的新技术有一定的影响。

Theoretical work in a varied set of mathematical problems in continuum mechanics will be carried out. These include: a) nonlinear wave propagation in viscoelastic media; b) sheets with bending stiffness, and c) quasiconvexification stored energy function in membrane structures. The aim is to provide a coherent general theory of large deformation of membranes and networks (such as cloth and cable networks) and to develop approximate methods for the solution of boundary-value problems within this theory. This research has impact on the new technologies in civil and mechanical engineering.