抄録
Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」We study general mathematical framework for rigorous derivation of the energy release rate which plays an important role in the theory of fracture mechanics. Applying a technique of the shape sensitivity analysis, we formulate this as a variational problem with a parameter. Key points of our theory are a new parameter variational principle and the classical implicit function theorem in Banach spaces.
We study general mathematical framework for rigorous derivation of the energy release rate which plays an important role in the theory of fracture mechanics. Applying a technique of the shape sensitivity analysis, we formulate this as a variational problem with a parameter. Key points of our theory are a new parameter variational principle and the classical implicit function theorem in Banach spaces.
