Results 31 to 40 of about 1,955,102 (244)
Advanced Engineering Materials, EarlyView.This study examines the mechanical properties of triply periodic minimal surfaces (TPMS)‐based lattices, analyzing 36 architectures in elastic and plastic regimes. It evaluates the applicability of beam‐based scaling laws to TPMS lattices. Rigidity arises from the alignment of members with the load direction and solid regions preventing rotation.
Lucía Doyle +2 more
wiley +1 more source
A Mathematical Picture Language Program [PDF]
PNAS January 2 2018 vol 115 page 81-86, 2017 We give an overview of our philosophy of pictures in mathematics. We emphasize a bi-directional process between picture language and mathematical concepts: abstraction and simulation. This motivates a program to understand different subjects, using virtual and real mathematical concepts simulated by pictures.
arxiv +1 more source
Advanced Engineering Materials, EarlyView.This study presents rapid evaluation methods for scan strategies in powder bed fusion (PBF) of polymers with a NIR laser as an example for its application. It uses line buffer‐based calculations and point density fields to predict the performance of four different scan strategies. The methods show promising results in laser‐based PBF of polymer samples,
Simon Leupold +9 more
wiley +1 more source
Discrete Mathematics/Number Theory
, 2017 Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics such as integers, graphs, and statements do not vary smoothly in this way, but have distinct, separated values ...
openaire +1 more source
Advanced Engineering Materials, EarlyView.Controlling the size and distribution of dispersoids is essential for optimizing the performance of oxide‐dispersion‐strengthened steels. This study focuses on nanoparticle dispersion and agglomeration during laser additive manufacturing of Fe20Cr alloy reinforced with ZrO 2 nanoparticles. Utilizing multiphysics phase‐field simulations and nanoparticle
Somnath Bharech +6 more
wiley +1 more source
Towards a Hermeneutic Categorical Mathematics or why Category theory goes beyond Mathematical Structuralism [PDF]
arXiv, 2006 Category theory provides an alternative to Hilbert's Formal Axiomatic method and goes beyond Mathematical ...
arxiv
Advanced Engineering Materials, EarlyView.This study uses real‐time laser diffraction image analysis to quantify fiber diameter changes and whipping behavior from the nozzle to the collector under varying electric field conditions. By capturing diffraction (scattering) intensity changes and bending angles, melt jet and whipping behavior are accurately assessed, supporting melt electrospinning ...
Jihwan Lim +3 more
wiley +1 more source
Poincaré and the idea of a group [PDF]
, 2012 In many different fields of mathematics and physics Poincaré found many uses for the idea of a group, but not for group theory. He used the idea in his work on automorphic functions, in number theory, in his epistemology, Lie theory (on the so-called ...
Gray, Jeremy
core
A Mathematical Theory of Origami Numbers and Constructions
, 1999 We give a hierarchial set of axioms for mathematical origami. The hierachy gives the fields of Pythagorean numbers, first discussed by Hilbert, the field of Euclidean constructible numbers which are obtained by the usual constructions of straightedge and compass, and the Origami numbers, which is also the field generated from the intersections of ...
openaire +2 more sources
Toughness of Confined Auxetic Foams
Advanced Engineering Materials, EarlyView.Auxetic (negative Poisson's ratio) materials offer benefits such as impact mitigation, thermal insulation, vibration damping, and reduced shear strain, although their fracture mechanics are largely unexplored. This study investigates damage initiation and propagation in confined re‐entrant auxetic foams from polyurethane via experimental ...
Adrianos E. F. Athanasiadis +3 more
wiley +1 more source