Results 91 to 100 of about 31,705 (312)
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity
, 2021 Liang S, Zhang P, Zhu R. Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity. Journal of Differential Equations. 2021;275:473-508.In this paper, we investigate both deterministic and stochastic 2D Navier-Stokes equations ...
Zhu, Rongchan, Liang, Siyu, Zhang, Ping
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Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley +1 more source
A Unified Gas-Kinetic Particle Method for Radiation Transport in an Anisotropic Scattering Medium
EntropyIn this paper, a unified gas kinetic particle (UGKP) method is developed for radiative transfer in both absorbing and anisotropic scattering media.
Yuan Hu +4 more
doaj +1 more source
, 1994 A new integral representation for the Barnes double gamma function is derived. This is canonical in the sense that solutions to a class of functional difference equations of first order with trigonometrical coefficients can be expressed in terms of the ...
Lawrie, JB, King, AC
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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
On the Dirichlet problem for generalized Cauchy-Riemann equations
Доповiдi Нацiональної академiї наук УкраїниHere we give a survey of consequences of the theory of the Beltrami equations from the complex analysis for the Dirichlet problem to generalized Cauchy-Riemann equation ∇v = B ∇u in the real plane R2 that describe flows of fluids in anisotropic and ...
V. Gutlyanskii +3 more
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In this paper we study the local regularity properties of weak solutions to a special class of anisotropic doubly nonlinear parabolic operators, whose prototype is the anisotropic Trudinger's equation $$ u_t- \sum\limits_{i=1}^N D_i\Big(u^{2-p_i}|D_i u|^{p_i-2} D_i u\Big)=0,\quad u\geqslant 0.
Ciani, Simone +3 more
openaire +3 more sources
Flow Feature Aligned Mesh Generation and Adaptation [PDF]
, 2013 Methods which allow for construction of flow feature aligned meshes in two- and three-dimensions have been developed in this thesis to investigate their potential for improvements in the numerical solution relative to globally refining the mesh.
Harris, Matthew
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Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley +1 more source
Multimodal Data‐Driven Microstructure Characterization
Advanced Engineering Materials, EarlyView.A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source