The Implementation and Practical Verification of a Superposition Method for the Solution of Elastic Crack Problems.
ROYAL AIRCRAFT ESTABLISHMENT FARNBOROUGH (ENGLAND)
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This Memorandum demonstrates a superposition method which provides a practical and efficient method for the solution of linear elastic crack problems. The method approximates the linear elasticity solution over a substructure containing the crack tip by the superposition of appropriate singular stress fields and a relatively coarse finite element mesh. A hybrid variational principle is employed to ensure displacement compatibility between this substructure and adjoining ones employing finite elements alone. A key feature of the method is that it may be implemented by adding routines to existing finite element packages. The particular implementation discussed here is intended for use in the aircraft industry.
- Numerical Mathematics