Concept

Platonic solid

Related publications (88)

Interactive Real-time Structural Modelling - Solids

The aim of this master project is to develop a fast computing method for the analysis of structures with non-linear geometric behavior. The Dynamic Relaxation (DR) method is employed instead of the better known Newton-Raphson iteration process based on Fin ...

2020

Finite Element Modeling of Tight Elastic Knots

Pedro Miguel Nunes Pereira de Almeida Reis, Tomohiko Sano, Paul Johanns, Changyeob Baek, Paul Grandgeorge

We present a methodology to simulate the mechanics of knots in elastic rods using geometrically nonlinear, full three-dimensional (3D) finite element analysis. We focus on the mechanical behavior of knots in tight configurations, for which the full 3D defo ...

2020

Melting of a skyrmion lattice to a skyrmion liquid via a hexatic phase

Henrik Moodysson Rønnow, Arnaud Magrez, Marco Cantoni, Fabrizio Carbone, Ping Huang, Thomas Schönenberger

While in 3D materials melting is a single, first-order phase transition, in 2D systems, it can also proceed via an intermediate phase. For a skyrmion lattice in Cu2OSeO3, magnetic field variations can tune this quasiparticle 2D solid into a skyrmion liquid ...

NATURE PUBLISHING GROUP2020

A simple and effective method based on strain projections to alleviate locking in isogeometric solid shells

Pablo Antolin Sanchez, Alessandro Reali

In this work, we focus on the family of shell formulations referred to as "solid shells", where the simulation of shell-type structures is performed by means of a mesh of 3D solid elements, with typically only one element through the thickness. We propose ...

SPRINGER2020

Visco-elastic behavior of blended cement pastes at early ages

Karen Scrivener, Zhangli Hu, Adrien Jean Régis Maurice Hilaire, Pietro Lura

This study aims at elucidating the visco-elastic behavior of hardening blended cement pastes, focusing on uni-axial basic compressive creep tests at early loading ages. Cement pastes with Portland cement only or blended with quartz or fly ash (both at a su ...

ELSEVIER SCI LTD2020

Nested Convex Bodies are Chaseable

Marek Elias

In the Convex Body Chasing problem, we are given an initial point v0. Rd and an online sequence of n convex bodies F1,..., Fn. When we receive Ft, we are required to move inside Ft. Our goal is to minimize the total distance traveled. This fundamental onli ...

SPRINGER2019

A simple and effective method based on strain projections to alleviate locking in isogeometric solid shells

Pablo Antolin Sanchez, Alessandro Reali

2019

On the reverse isodiametric problem and Dvoretzky-Rogers-type volume bounds

Matthias Schymura

The isodiametric inequality states that the Euclidean ball maximizes the volume among all convex bodies of a given diameter. We are motivated by a conjecture of Makai Jr. on the reverse question: Every convex body has a linear image whose isodiametric quot ...

2018

Temperature Dependence of the Vacancy Formation Energy in Solid He-4

Riccardo Rota

We studied the thermal effects on the behavior of incommensurate solid He-4 at low temperatures using the path integral Monte Carlo method. Below a certain temperature, depending on the density and the structure of the crystal, the vacancies delocalize and ...

2018

Full Phase Diagram of Active Brownian Disks: From Melting to Motility-Induced Phase Separation

Ignacio Pagonabarraga Mora, Pasquale Digregorio

We establish the complete phase diagram of self-propelled hard disks in two spatial dimensions from the analysis of the equation of state and the statistics of local order parameters. The equilibrium melting scenario is maintained at small activities, with ...

2018

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