STRESS SINGULARITY ANALYSIS AT CRACK TIP ON BI-MATERIAL INTERFACES BASED ON HAMILTONIAN PRINCIPLE

摘要

In this paper, the stress singularity analysis at the crack tip on elastic bi-material interfaces is considered. The governing equations of plane elasticity in sectorial domain are derived to be in Hamiltonian form via variable substitution and variational principle. The methods of separation of variables and conjugate symplectic eigen-function expansion are developed to solve the equations in sectorial domain. The general formulae for the solution of stress singularities at the crack tip on bi-ma-terial interfaces are put forward, and a new solution technique for fracture problems is presented.