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Using hybrid element method to solve 3D elliptic crack problems with multi-materials structure

✍ Scribed by D. Peng; R. Jones; S. Pitt


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
592 KB
Volume
9
Category
Article
ISSN
1350-6307

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✦ Synopsis


This paper presents a new hybrid element method, based on the finite element alternating technique (FEAT), for calculating the elastic stress-intensity factors for 3D structural components with complex loads, geometry and multiplematerials. It focuses attention on the problem of elliptic cracks. To this end a hybrid element formulation has been developed where the hybrid element has its stiffness matrix corrected to reflect exactly the existence of the true 3D crack geometry within the element. To obtain the stiffness matrix of the hybrid element, this approach involves the combined use of the redundant force method together with the displacement field results arising from the finite element alternating technique. This matrix was subsequently used together with a standard commercial finite element package to obtain the force field of the nodes. Finally these forces were used to determine the stress-intensity factors along the crack front.