Curvature-Controlled Defect Localization in Elastic Surface Crystals by Stoop, Norbert, Lagrange, Romain, Lopez Jimenez, Francisco, Dunkel, Joern, Reis, Pedro Miguel

“…We investigate the influence of curvature and topology on crystalline dimpled patterns on the surface of generic elastic bilayers. …”
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Casimir-Polder force between anisotropic nanoparticles and gently curved surfaces by Bimonte, Giuseppe, Emig, Thorsten, Kardar, Mehran

“…We study novel orientational effects that arise due to curvature of the surface for distances much smaller than the radii of curvature by employing a derivative expansion. …”
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Shapes of a Suspended Curly Hair by Miller, J. T., Audoly, Basile, Lazarus, Arnaud, Reis, Pedro Miguel

“…We investigate how natural curvature affects the configuration of a thin elastic rod suspended under its own weight, as when a single strand of hair hangs under gravity. …”
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From wrinkling to global buckling of a ring on a curved substrate by Lagrange, Romain, Lopez Jimenez, Francisco, Terwagne, Denis, Brojan, Miha, Reis, Pedro Miguel

“…Towards assessing the role of curvature, we compare our results for the critical stress and the wrinkling wavelength to their planar counterparts. …”
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Flexoelectricity-driven periodic buckling in multilayer graphene bonded to compliant substrate by Kothari, Mrityunjay, Kim, Kyung-Suk

“…Experimental measurements of HOPG’s surface-slope variations indeed confirm curvature localization at the crinkle valleys and ridges. …”
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Resilient monotone submodular function maximization by Tzoumas, Vasileios, Gatsis, Konstantinos, Jadbabaie, Ali, Pappas, George J., Jadbabaie-Moghadam, Ali

“…Notably, the curvature has been known to tighten approximations for several non-resilient maximization problems, yet its effect on resilient maximization had hitherto been unknown. …”
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Geometry-Induced Rigidity in Nonspherical Pressurized Elastic Shells by Lazarus, Arnaud, Florijn, H. C. B., Reis, Pedro Miguel

“…We present results from an experimental investigation of the indentation of nonspherical pressurized elastic shells with a positive Gauss curvature. A predictive framework is proposed that rationalizes the dependence of the local rigidity of an indented shell on the curvature in the neighborhood of the locus of indentation, the in-out pressure differential, and the material properties. …”
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Pore geometry control of apparent wetting in porous media by Rabbani, Harris Sajjad, Zhao, Benzhong, Juanes, Ruben, Shokri, Nima

“…We show that under intermediate contact angles the sign of interface curvature is strongly influenced by the pore geometry. …”
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A new method for automatic discontinuity traces sampling on rock mass 3D model by Umili, G., Ferrero, A., Bernstein, Herbert H., Einstein, Herbert H.

“…The implemented procedure allows one to automatically identify discontinuity traces on a Digital Surface Model: traces are detected directly as surface breaklines, by means of maximum and minimum principal curvature values of the vertices that constitute the model surface. …”
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Localized Structures in Indented Shells: A Numerical Investigation by Nasto, Alice Meite, Reis, Pedro Miguel

“…Beyond a critical indentation, the deformation of the shell ceases to be axisymmetric and sharp structures of localized curvature form, referred to as “s-cones,” for “shell-cones.” …”
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Fabrication of slender elastic shells by the coating of curved surfaces by Lee, Anna, Brun, Pierre-Thomas, Marthelot, Joel Genet Augustin, Balestra, G., Gallaire, F., Reis, Pedro Miguel

“…Various manufacturing techniques exist to produce double-curvature shells, including injection, rotational and blow molding, as well as dip coating. …”
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A Geometric Model for the Coiling of an Elastic Rod Deployed Onto a Moving Substrate by Jawed, Mohammad K., Brun, Pierre-Thomas, Reis, Pedro Miguel

“…The coiling process is then rationalized using a reduced geometric model (GM) for the evolution of the position and orientation of the contact point between the rod and the belt, as well as the curvature of the rod near contact. This geometric description reproduces almost all of the coiling patterns of the ESM and allows us to establish a unifying bridge between our elastic problem and the analogous patterns obtained when depositing a viscous thread onto a moving surface; a well-known system known as the fluid-mechanical sewing machine (FMSM).…”
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Impact of Confining Stress on Capillary Pressure Behavior During Drainage Through Rough Fractures by Silva, Josimar A., Kang, Peter K., Yang, Zhibing, Cueto-Felgueroso Landeira, Luis, Juanes, Ruben

“…We generate synthetic self-affine rough fractures at different correlation scales, solve the elastic contact problem to model the effect of confining stress, and simulate slow immiscible displacement of a wetting fluid by a nonwetting one using a modified invasion percolation model that accounts for in-plane curvature of the fluid-fluid interface. Our modeling results indicate that the power spectral density, S(f), of Pc, can be used to qualitatively characterize fracture aperture heterogeneity. …”
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Resilient Monotone Sequential Maximization by Tzoumas, V, Jadbabaie, A, Pappas, GJ

“…We quantify the algorithm's approximation performance using a notion of curvature for monotone (not necessarily submodular) set functions. …”
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Coiling of elastic rods on rigid substrates by Khalid Jawed, Mohammad, Da, Fang, Joo, Jungseock, Grinspun, Eitan, Reis, Pedro Miguel

“…Throughout, we systematically vary natural curvature of the rod as a control parameter, which has a qualitative and quantitative effect on the pattern formation, above a critical value that we determine. …”
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