Derivation of Crack Element-Stiffness Matrix by the Complex Variable Approach,

摘要

The problem of crack analysis and stress singularities at the tip of a crack,has,up to now,been approached either in an analytical fashion,using complex variables and conformed mapping,or with the finite-element method,using elements which may or may not account for the singular stresses around the tip of the crack. The following study defines a so-called 'special element'to be used at the crack tip in conjunction with the general finite-element method. It was proved to be more efficient than previous methods for it accounts more fully for stress singularities. The element-stiffness matrix was derived using conformal mapping of the special element into a more readily usable one. (Author)