A New Multivariable Finite Element Algorithm and a Breakable Element Algorithm for Elasto-Plastic Fracture Analysis

J. Y. Zhang and T. R. Hsu
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J. Y. Zhang: Tianjin University, Dept. of Mechanics
T. R. Hsu: University of Manitoba, Dept. of Mech. Engng.

Chapter D50 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 445-451 from Springer

Abstract: Summary A new multivariable finite element algorithm is formulated on the basis of the generalized virtual work principles. The algorithm possesses the advantages of the traditional hybrid finite element[1] and quasi-conforming element[2] but it has more flexibility and makes the hybrid concept and quasi-conforming concept to be easily generalized to different problems in the continuum mechanics. This algorithm has been implemented in a quadrilateral planar hybrid element with finite displacement consideration and strain singular terms for the application to elasto-plastic fracture analysis. The “breakable element” algorithm was proposed by one of the authors (T.R.H)[3] for producing smoother crack growth. Some improvements of the algorithm have been made in present paper. The multivariable finite element algorithm mentioned above with the breakable element algorithm was successfully used to predict the stable growth of a line crack in a large thin aluminum plate. The rupture effective strain was used as a fracture criterion.

Keywords: Nodal Displacement; Line Crack; Element Algorithm; Hybrid Concept; Crack Index (search for similar items in EconPapers)
Date: 1987
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DOI: 10.1007/978-94-009-3653-9_50

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