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Framework for incorporating multi-level morphology of particles in DEM simulations: independent control of polydisperse distributions of roundness and roughness while preserving form distributions in granular materials
Particle shape in granular materials exhibits both polydisperse and multi-level characteristics, which are intrinsically linked to the mechanical...
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Exploiting Algebraic Structure in Sum of Squares Programs
We present an overview of several different techniques available for exploiting structure in the formulation of semidefinite programs based on the...
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Phonons and Vibrational Spectrum
In Chap. 4 , we considered how elastic (acoustic) waves propagate through an isotropic amorphous solid, and...
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On Rigidity and Convergence of Circle Patterns
Two planar embedded circle patterns with the same combinatorics and the same intersection angles can be considered to define a discrete conformal...
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The Concept of Modeling Packing and Covering Problems Using Modern Computational Geometry Software
A class of geometric packing and covering problems is considered. A new concept of their mathematical modeling using a special class of functions is...
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Geometrical Approach to the Plane Tessellation in the IEEE 802.11 Networks Channel Planning
The problem of channel planning is typical during the design of the wireless access networks. It can have a geometric interpretation from the point...
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Review of visual analytics methods for food safety risks
With the availability of big data for food safety, more and more advanced data analysis methods are being applied to risk analysis and prewarning...
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Form-Finding to Fabrication: A Parametric Shell Structure Fabricated Using an Industrial Robotic Arm with a Hot-Wire End-Effector
The increasing application of computer technologies in architecture has facilitated interactive collaboration between form-finding and realization....
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Gel-like mechanisms of durability and deformability in wet granular systems
It is known empirically that dry granular materials tend to crumble and that wetting them greatly increases their strength. Although the mechanism of...
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Geometry and Topology
This chapter presents a collection of theorems in geometry and topology, proved in the twenty-first, which are at the same time great and easy to...
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Numerical estimation of the permeability of granular soils using the DEM and LBM or FFT-based fluid computation method
AbstractNumerical packings of spheres with uniform grain size distribution and maximum to minimum diameter ratio up to 15 are generated using the...
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Ideal Crystals and the Crystallographic Groups
In this chapter we cover, for later use, some basics on crystallography and crystallographic groups.
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Contact Numbers for Sphere Packings
In discrete geometry, the contact number of a given finite number of non-overlap** spheres was introduced as a generalization of Newton’s kissing...
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Structural Features of Pentaphenylantimony, Penta(p-tolyl)antimony, and Their Solvates with Organic Solvents
AbstractThe structures of pentaphenylantimony ( I ), its solvates with benzene ( II ) and dioxane ( III ), and penta( p -tolyl)antimony ( IV ) are solved by...
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A shape-driven reentrant jamming transition in confluent monolayers of synthetic cell-mimics
Many critical biological processes, like wound healing, require densely packed cell monolayers/tissues to transition from a jammed solid-like to a...
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STRUCTURE OF MIXED-LIGAND MAGNESIUM DIPIVALOYLMETHANATE COMPLEXES WITH PROPYLENEDIAMINE AND ITS DERIVATIVE
AbstractThe structures of two mixed-ligand [Mg(Q)(thd) 2 ] complexes (thd = 2,2,6,6-tetramethylheptane-3,5-dionate ion (dipivaloylmethanate ion),...
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Random Network Models
The common way to compute hydraulic and electric flow in porous media is to substitute the pore structure by a network consisting of nodesNode (for...
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A Numerical Investigation on Effective Diffusion in Cement-Based Composites: The Role of Aggregate Shape
AbstractDiffusive behaviour is the fundamental mechanism of ionic-induced corrosion in cement–granular composites. Aggregate characteristics,...
