Inaug.-diss.--Strassburg.

Thesis (Ph.D.)--Brown University, 2005. / Vita. Thesis advisor: Joseph Silverman. Includes bibliographical references (leaves 43-45). Also available online.

Thesis (Ph. D.)--University of Chicago, 1915. / "Private edition, distributed by the University of Chicago Libraries, Chicago, Illinois." "Reprinted from the Giornale di matematiche di Battaglini, vol. LV (1917), 8⁰ della 3a serie." Includes bibliographical references. Also available on the Internet.

Thesis (Ph. D.)--University of Chicago, 1915. / Vita. "Reprinted from Annali di matematica, serie III, tomo XXVI, 1916." Includes bibliographical references. Also available on the Internet.

Th. 3e cycle--Autom. et inform.--Besançon, 1985. N°: 480.

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The adhesion theory of friction is investigated using the model junction proposed by A. P. Green in 1954. The results of the model junction experiments are extended to study the wear mechanism. An attempt has been made to correlate the model junction results with similar results obtained by various experimentors using actual surfaces. The friction results established that friction is independent of load which is in agreement with experiments done using actual surfaces. The model junction shows general agreement with the theoretical estimate of the friction and normal forces made by A. P. Green. The wear results indicate general correlations between the model and actual surfaces with regard to particle shape and wear-load relationships. In general, the results of the investigation indicate that actual surfaces should have small surface finish angles for minimum wear and that the double shear mode of junction failure provides an explanation for wear particle formation and the large values of the coefficient of friction found for outgassed metals sliding in vacuo. / Applied Science, Faculty of / Mechanical Engineering, Department of / Graduate

In this thesis we consider a submanifold M of a Riemannian manifold R where M is given as the intersection of level sets of C[symbol omitted] real valued functions defined on R. For a fixed point x in M we construct diffeomorphisms Sx:TMx→M where TMx is the tangent space of M at x. In particular, we determine the Taylor expansion of Sx at 0 in TMx in terms of the Riemannian structure of R and the defining equations of M. / Science, Faculty of / Mathematics, Department of / Graduate

Biofunctional surfaces have been under extensive research due to the numerous applications they have in science and technology. In biofunctional surfaces, different biomolecules are immobilized on an interface in order to achieve a stable and selective biorecognition capability. A key characteristic of biofunctional interfaces that is sought after is prevention of non-specific adhesion, which will lead to an improved and selective interaction between the biological elements and the surface as well as reduction of noise in the system. In this work, we developed biofunctional surfaces which simultaneously have the capability to prevent non-specific binding. For the repellant characteristics, omniphobic liquid-infused coatings were implemented which were developed by producing self-assembled monolayers (SAMs) of fluorosilanes. The biofunctional characteristics were integrated with the interface by two means: (i) producing mixed SAMs of aminosilanes and fluorosilanes to act as a bridge to chemically bind biological recognition elements while simultaneously add omniphobic characteristics, and furthermore, promote controlled biofunctionality (ii) microcontact printing patterns of proteins and further on producing SAMs of fluorosilanes on the surface, therefore resulting in an omniphobic micropatterned biofunctional surface. In order to investigate the biofunctionality, cells specific to the immobilized biomolecules were incubated on the biofunctional lubricant-infused interfaces. Here, we report that by varying the mixed SAMs ratio, we were able to control the degree of cell adherence to the interface. Furthermore, in the case of the micropatterned surfaces, we demonstrated localized cell attachment and enhanced cell specific adhesion. / Thesis / Master of Applied Science (MASc) / Biofunctional surfaces, consist of different biomolecules which are immobilized on a desired surface by various means. These surfaces have countless applications in bioengineering, leading to interdisciplinary research, such as lab on chip devices, tissue engineering, diagnostic tools, and medical implants. Therefore, preserving the biofunctionality of the surface as well as preventing non-specific adhesion are required when considering an ideal biofunctional surface. In this work, we designed and developed biofunctional omniphobic lubricant-infused interfaces in order to investigate cell adhesion and non-specific adhesion, simultaneously. This was achieved by producing mixed self-assembled monolayers of organosilanes and also by combining microcontact printing of proteins and self-assembled monolayers of fluorosilanes.

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