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Interface cracks in composite orthotropic materials and their delamination via global shape optimization
Abstract Based on the linear theory of elasticity a model describing two, in-plane deformation identical, homogeneous orthotropic materials coupled at an interface with the angle of 2β between their vertical planes of elastic symmetry and with a crack at the interface is studied. The model under consideration is spatial, and it does not split into independent isotropic/orthotropic in-plane and anti-plane models, which are treated here as the limit case of $$\beta=0/ \pm\frac{\pi}{2}$$ , respectively. The well-posedness of mathematical formulation of the problem is provided by variational methods. Applying a global optimization for the total potential energy with respect to one shape parameter of the crack length, a model for the quasi-static delamination is proposed and compared with the Griffith fracture criterion . Numerical experiments for the composite material with a plane interface crack of the fracture mode-1, mode-2, and mode-3 are presented and analyzed with respect to the half-angle β of coupling and length of the crack.
Interface cracks in composite orthotropic materials and their delamination via global shape optimization
Abstract Based on the linear theory of elasticity a model describing two, in-plane deformation identical, homogeneous orthotropic materials coupled at an interface with the angle of 2β between their vertical planes of elastic symmetry and with a crack at the interface is studied. The model under consideration is spatial, and it does not split into independent isotropic/orthotropic in-plane and anti-plane models, which are treated here as the limit case of $$\beta=0/ \pm\frac{\pi}{2}$$ , respectively. The well-posedness of mathematical formulation of the problem is provided by variational methods. Applying a global optimization for the total potential energy with respect to one shape parameter of the crack length, a model for the quasi-static delamination is proposed and compared with the Griffith fracture criterion . Numerical experiments for the composite material with a plane interface crack of the fracture mode-1, mode-2, and mode-3 are presented and analyzed with respect to the half-angle β of coupling and length of the crack.
Interface cracks in composite orthotropic materials and their delamination via global shape optimization
Kovtunenko, Victor A. (author)
Optimization and Engineering ; 7 ; 173-199
2006-06-01
27 pages
Article (Journal)
Electronic Resource
English
Composite material , Interface crack , Crack propagation , Delamination , Shape optimization , Variational methods , Numerical optimization Mathematics , Optimization , Engineering, general , Systems Theory, Control , Environmental Management , Operation Research/Decision Theory , Financial Engineering
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