The integrated local Petrov–Galerkin sinc method was used with an irreversible exponential traction-separation constitutive law for modeling mode I and mixed-mode delamination of an adhesively bonded aluminum and hybrid plane-strain and plane-stress structural specimen. The first-order shear deformable theory was used to model the specimen both above and below the delamination with the sublaminate interfaces coupled to each other through the cohesive zone model. Through-the-sublaminate-thickness distributions of interlaminar stresses were obtained using integration of the equilibrium equations of three-dimensional elasticity. An adaptive discretization technique is developed and implemented. Because the sinc points, distributed by the double exponential transformation, are biased toward the boundary in the integrated local Petrov–Galerkin sinc method, the adaptive sinc point distribution allows an accurate solution to be obtained with far fewer sinc points than when a single subdomain is used. The results indicated excellent correlation between the integrated local Petrov–Galerkin sinc method results and the finite element method results obtained using cohesive elements in ABAQUS. The results were also compared with experimental results. The integrated local Petrov–Galerkin sinc method results and finite element analysis results correlated well with the experimental results. Because the integrated local Petrov–Galerkin sinc method approximates higher-order derivatives of strain, the method is well suited for use with this class of problems.
Beam Delamination by Integrated Local Petrov–Galerkin Sinc Method
AIAA Journal ; 52 , 2 ; 419-435
2014-01-16
17 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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