A two-dimensional model of a film bonded to an elastic substrate is proposed for simulating crack propagation paths in thin elastic films. Specific examples are presented for films subject to equi-biaxial residual tensile stress. Single and multiple crack geometries are considered with a view to elucidating some of the crack patterns which are observed to develop. Tendencies for propagating cracks to remain straight or curve are explored as a consequence of crack interaction. The existence of spiral paths is demonstrated.
Abstract Der Diethylplatinkomplex (I) zersetzt sich thermisch in Cyclohexanlösung durch β‐Wasserstoffaktivierung bei anschließender reduktiver Eliminierung von Ethan zum Ethylenkomplex (II).
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Introduction: The associations between dietary glycemic index (GI) and glycemic load (GL) with subsequent risk of coronary heart disease (CHD) are inconclusive among men. The association is further complicated by the potential biological interactions between the carbohydrate quality of the diet and factors that may influence underlying insulin resistance. Hypothesis: We hypothesized that long-term exposure to a diet with high GI and GL would be associated with increased CHD risk in a cohort of US men, and the association would be further modified by fiber intake, alcohol consumption and BMI. Methods: We included 37,736 men aged 40–75 years from the Health Professional Follow-up Study, with no previous diagnosis of CHD, cancer, or type 2 diabetes. We confirmed 3,121 total incident CHD cases during 22 years of follow-up. Cox proportional hazard models were used to adjust for covariates. Results: After adjusting for lifestyle and dietary covariates, the hazard ratio (RR) and 95% confidence intervals comparing men in the highest vs. the lowest quintile was 1.16 (1.04, 1.31; p for trend=0.03) for dietary GI, and 1.09 (0.94, 1.27; p for trend =0.16) for GL. We found a significant effect modification by fiber intake (p=0.02); The associations between GL and CHD risk were strongest among participants in the lowest tertile of fiber intake (RR= 1.00, 1.00, 0.93, 1.11 and 1.16 with increasing quintiles of GL; RR=1.00, 0.68, 0.79, 0.73 and 0.76 for participants in the highest tertile of fiber intake). The association between GL and CHD was stronger among men with body mass index (BMI) greater than 25 kg/m2 than normal weight men, even though the test for interaction was only marginally significant (RR=1.00, 1.03, 1.05, 1.10, and 1.16 for increasing quintles of GL among men with BMI≥25 kg/m2 and RR= 1.00, 0.92, 0.96, 1.09 and 1.04 for men with BMI<25 kg/m2, p for interaction=0.09). Alcohol intake did not modify the association of GL with CHD (p for interaction=0.44). Conclusion: We observed a significantly increased risk of CHD with high GI diet and a modestly elevated association between GL and CHD among men with low fiber intakes or who were overweight or obese. No effect modification by alcohol was observed, but we did find that the association between GL and CHD was more pronounced among those with lower fiber intake or higher BMI.
Field observations of major earthquake fault zones show that shear deformation is often confined to principal slipping zones that may be of order 1–100 μm wide, located within a broader gouge layer of order 10–100 mm wide. This paper examines the possibility that the extreme strain localization observed may be due to the coupling of shear heating, thermal pressurization, and diffusion. In the absence of a stabilizing mechanism shear deformation in a continuum analysis will collapse to an infinitesimally thin zone. Two possible stabilizing mechanisms, studied in this paper, are rate‐strengthening friction and dilatancy. For rate‐strengthening friction alone, a linear stability analysis shows that uniform shear of a gouge layer is unstable for perturbations exceeding a critical wavelength. Using this critical wavelength we predict a width for the localized zone as a function of the gouge properties. Taking representative parameters for fault gouge at typical centroidal depths of crustal seismogenic zones, we predict localized zones of order 5–40 μm wide, roughly consistent with field and experimental observations. For dilatancy alone, linearized strain rate perturbations with a sufficiently large wavelength will undergo transient exponential growth before decaying back to uniform shear. The total perturbation strain accumulated during this transient strain rate localization is shown to be largely controlled by a single dimensionless parameter E , which is a measure of the dilatancy of the gouge material due to an increase in strain rate.