本文主旨在研究非線性可壓縮彈性固體承受動態荷重時圓孔的擴張。成果有助於材料損壞機制的了解，也可促進非線性可壓縮彈性固體動態問題的了解。本研究所用的數學方法有一部分是最近才提出，相關的應用不多，本研究則可促進這方面的探尋。 This project studies the dynamic expansion of a radially deformed circular cavity in a compressible nonlinear elastic solid. The result we shall obtain will facilitate the understanding of the mechanism of damage of materials. This study will also help us to capture the nature of dynamic deformations in compressible nonlinear elastic solids. Another goal of this project is to explore the abilities of some methods proposed recently for solving nonlinear partial differential equations.
