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Drop-out was due to failure to obtain consent for both mother and infant, early discharge (only at delivery), and logistical and analytical imperfections (delivery and 3 months postpartum).
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For small imperfections the analytical predictions are thus comparable in accuracy to numerical simulation, but provide much more insight.
The compressive strengths are sensitive to the aspect ratio of the specimens for L/H < 4 and again are below the analytical predictions due to imperfections.
Analytical relations for calculating imperfection force qdi and force H1,i are provided in order to evaluate the state of stress in both the purlins and the bracings.
For further studies a three dimensional finite element model is created to work out the stress distribution surrounding internal inclusions or cavities and to compare the obtained stress intensity factors of a circumferential crack initiating at the imperfection with analytical solutions.
An asymptotic expansion is performed to obtain a closed-form analytical solution of the limit load imperfection rule.
Fracture mechanics can solve the problem in an analytical way by connecting material properties, geometry, imperfections and loading of a component.
A variational model describing the interactive buckling of thin-walled rectangular hollow section struts with geometric imperfections is developed based on analytical techniques.
In order to trigger the buckling response, an imperfection of the pavement is incorporated and the configuration of the imperfection is taken from an analytical study.
Therefore, the exact evaluation of real local imperfections and common deviations from the analytical model of the tank is very important for such potentially dangerous structures.
The analytical predictions of maximum load reductions due to imperfection sensitivity are verified by finite element simulations.
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