Results 51 to 60 of about 22,063 (297)
Symmetry Reduction in Symplectic and Poisson Geometry [PDF]
Letters in Mathematical Physics, 2004 The paper presents a self-contained overview of various reduction techniques for symplectic and Poisson manifolds possessing symmetries. First, the standard Marsden-Weinstein symplectic reduction is presented. Then the optimal momentum map (a notion due to the authors) is introduced and its relation to generalized distributions is explained.
Ortega, Juan-Pablo, Ratiu, Tudor, S.
openaire +2 more sources
Evaluating Energy Absorption Performance of Filled Lattice Structures
Advanced Engineering Materials, EarlyView.Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney +2 more
wiley +1 more source
Poisson Doubly Warped Product Manifolds
Mathematics, 2023 This article generalizes some geometric structures on warped product manifolds equipped with a Poisson structure to doubly warped products of pseudo-Riemannian manifolds equipped with a doubly warped Poisson structure.
Ibrahim Al-Dayel +2 more
doaj +1 more source
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Advanced Engineering Materials, EarlyView.A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du +4 more
wiley +1 more source
ICT Express, 2019 In this paper, we model and characterize interference of directional unmanned aerial vehicle (UAV) networks based on stochastic geometry, where each UAV is equipped with a directional antenna and it communicates with another UAV that is located in the ...
Eunmi Chu, Jong Min Kim, Bang Chul Jung
doaj +1 more source
Poisson geometry of directed networks in a disk [PDF]
Selecta Mathematica, 2009 We investigate Poisson properties of Postnikov's map from the space of edge weights of a planar directed network into the Grassmannian. We show that this map is Poisson if the space of edge weights is equipped with a representative of a 6-parameter family of universal quadratic Poisson brackets and the Grasmannian is viewed as a Poisson homogeneous ...
Gekhtman, Michael +2 more
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Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]
, 2014 We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
core
Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales
Advanced Engineering Materials, EarlyView.Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik +7 more
wiley +1 more source
Tailoring Functional Properties of Ti–Ni–Cu Shape Memory Alloy Thin Films for MEMS Actuators
Advanced Engineering Materials, EarlyView.A comprehensive study of critical parameters required to develop well‐performing Ti–Ni–Cu thin film shape memory alloy microactuators is provided. Materials science and device integration aspects are integrated by addressing structural and physical relationships using complementary characterization techniques as well as a practical fabrication solution
Elaheh Akbarnejad +6 more
wiley +1 more source