2006 | OriginalPaper | Buchkapitel
Finite Element Modeling of Cohesive Cracks by Nitsche’s Method
verfasst von : P. Hansbo, P. Heintz
Erschienen in: Fracture of Nano and Engineering Materials and Structures
Verlag: Springer Netherlands
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In [
1
,
2
] a new finite element method, based on Nitsche’s method [
5
], was introduced, allowing for discontinuities, internal to the elements, in the approximation across the interface; a method that can handle both perfectly and imperfectly bonded interfaces without modifications of the code. For the problem of linear elasticity, the case of an internal boundary Γ, over which there was continuity in traction but not necessarily in the displacement field, was studied in [
2
]. The problem was formulated as seeking the displacement field
u
and the stress tensor
σ
such that