課程大綱(Course Outline)

Incorporating advanced scientific knowledge and sophisticated engineering technology, a pioneer project (a European initiative) is to investigate the human body as a single complex system (virtual physiology human, or VPH). The purpose of developing this project is that the EU wants to integrate biomedical engineering and information science and wants to retain the state-of-the-art in the relevant scientific areas that are of global importance. Following this concept, utilising the computational framework as an essential research and interpretation tool will play an important role. Therefore, this lecture will bring students to embrace the most advanced development in the world.

The primary focus of this course is on the teaching of state-of-the-art computational methods for the modelling and simulation of the mechanical response of biological materials used in biomechanics. The range of this biomaterial behaviour considers as poromechanics, including finite deformation elasticity and fluid infiltrating porous solid (solid matrix). In particular, the diffusion, advection, capillarity, heating, cooling and freezing of pore fluid, the build-up of pore pressure and the mass exchanges among the solid and fluid constituents may influence the stability and integrity of the solid skeleton, cause shrinkage, swelling, fracture or liquefaction. These coupling phenomena are essential for numerous disciplines, including but not limited to geophysics and material sciences. Furthermore, this lecture also covers a selected number of topics, including but not limited to balance principles, Biot’s poroelasticity, mixture theory, constitutive modelling of path independent and dependent multiphase materials, numerical methods for parabolic and hyperbolic systems and standard stabilisation procedures for mixed finite element models, explicit and implicit time integrators, and operator splitting techniques for poromechanics problems.

英授(Taught in English)