1. p-Version finite element approximations of stress intensity factors for cracked plates including shear deformation
- Author
-
Chae Gue Lee and Kwang S. Woo
- Subjects
Materials science ,business.industry ,Fissure ,Mechanical Engineering ,Numerical analysis ,Mathematical analysis ,Structural engineering ,Bending ,Finite element method ,Physics::Geophysics ,medicine.anatomical_structure ,Shear (geology) ,Mechanics of Materials ,medicine ,General Materials Science ,Boundary value problem ,business ,Legendre polynomials ,Stress intensity factor - Abstract
The new p-version crack model is proposed to estimate the bending stress intensity factors of the thick cracked plate under flexure. The proposed model is based on high order theory and hierarchical C0-plate element including shear deformation. The displacement fields are defined by integrals of Legendre polynomials which can be classified into three groups, e.g. basic, side and internal mode. The computer implementation allows arbitrary variations of p-level up to a maximum value of 10. The bending stress intensity factors are computed by the virtual crack extension approach. The effects of ratios of thickness to crack length (h/a), crack length to width (a/W) and boundary conditions are investigated. Very good agreement with the existing solution in the literature is shown for the uncracked plate as well as the cracked plate.
- Published
- 1995
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