A numerical study of the statistics of roughness parameters for fluctuating interfaces
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In this thesis we explore uncertainty quantification of forward and inverse problems involving differential equations. Differential equations are widely employed for modeling natural and social phenomena, with applications in engineering, chemistry, meteor ...
In concrete structures, opened cracks contribute significantly to the transfer of shear and normal stresses through the contact forces occurring between fractured surfaces. Such contact forces are due to protruding asperities, engaged by interlocking and f ...
We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming transition density and the contact number at the transition point both increase ...
This paper addresses the mean-field behavior of large-scale systems of parallel servers with a processor sharing service discipline when arrivals are Poisson and jobs have general service time distributions when an SQ(d) routing policy is used. Under this ...
All mechanical systems, naturally occurring or human-produced, are subjected to friction and wear at the interface of solid constituents. Large portions of energy dissipation and loss of material, in every-day life and industrial applications alike, are du ...
Most natural and man-made surfaces appear to be rough on many length scales. There is presently no unifying theory of the origin of roughness or the self-affine nature of surface topography. One likely contributor to the formation of roughness is deformati ...
A comprehensive understanding of physical phenomena based on a hybrid experimental-numerical approach supports a safer design of critical infrastructures. However, for large-scale tsunami-like waves, the reliability of numerical models was insufficiently v ...
Both natural and manufactured surfaces have been found to be self-affine over many length scales. Yet, it is still not understood what mechanisms lead to the final self-affine morphology, which is characterized by a persistent Hurst exponent (greater than ...
Aggregate interlock is the mechanism via which normal and shear stresses are transferred across the lips of cracks in concrete . The fractal property of cracking surfaces in concrete plays a significant role in shear transfer across surfaces. Because of th ...
Wear of materials is a very complex phenomenon due to its tight correlation with all the other phenomena that take place at the interface of two bodies interacting with one another, like friction, contact and lubrication. When two opposing surfaces slide o ...