Results 101 to 110 of about 2,215,102 (322)
Elastic‐Wave Propagation in Chiral Metamaterials: A Couple‐Stress Theory Perspective
The intrinsic chirality of chiral metamaterials renders an effective medium based on the classical continuum theory ineffective for predicting their acoustic activity. This limitation is addressed in the present study by employing augmented asymptotic homogenization to derive a couple‐stress‐based effective medium, enabling accurate predictions in the ...
Shahin Eskandari+5 more
wiley +1 more source
Scalar curvature rigidity of geodesic balls in S^n [PDF]
In this paper, we prove a scalar curvature rigidity result for geodesic balls in S^n. This result contrasts sharply with the recent counterexamples to Min-Oo's conjecture for the hemisphere (cf. [5]).
arxiv
Stability estimate for scalar image velocimetry [PDF]
In this paper we analyse the stability of the system of partial differential equations modelling scalar image velocimetry. We first revisit a successful numerical technique to reconstruct velocity vectors ${u}$ from images of a passive scalar field $\psi$ by minimising a cost functional, that penalises the difference between the reconstructed scalar ...
arxiv
This study presents ideas and examples about the geometry of dynamics and bifurcations of ordinary differential equations. The subject of differential and difference equations is an old and much-honoured chapter in science. In recent years, due primarily
J. Hale, H. Koçak
semanticscholar +1 more source
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
Spin-charge separation for paired Dirac fermions in (1 + 1) dimensions
We study Dirac fermions at finite density coupled to a complex pairing field assumed to obey scalar field theory with quartic self-repulsion. The bulk of our work develops the mathematics that elucidates the propagation of fermionic excitations in such ...
Laith H. Haddad
doaj +1 more source
Shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional manifold and their classification [PDF]
This paper aims to study of shape operator of an $ (n-1) $-dimensional distribution on an $ n $-dimensional smooth manifold. In this study firstly we state formulae for the shape operator and its symmetric and anti-symmetric components and in ...
Mehran Aminian, Mehran Namjoo
doaj +1 more source
Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat+6 more
wiley +1 more source
Huygens' Principle for the Non-Self-Adjoint Scalar Wave Equation on Petrov type III Space-Times [PDF]
We prove that if the non-self-adjoint scalar wave equation satisfies Huygens' principle on Petrov type III space-times, then it is equivalent to the conformally invariant scalar wave equation.
arxiv
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