Results 71 to 80 of about 364,726 (278)

Lie Symmetry Analysis of the Hopf Functional-Differential Equation [PDF]

Symmetry, 2015
In this paper, we extend the classical Lie symmetry analysis from partial differential equations to integro-differential equations with functional derivatives. We continue the work of Oberlack and Wacławczyk (2006, Arch. Mech. 58, 597), (2013, J. Math. Phys. 54, 072901), where the extended Lie symmetry analysis is performed in the Fourier space.
Janocha, Daniel, Wacławczyk, Marta, Oberlack, Martin   +2 more
openaire   +1 more source

Powder Optimization Strategies for Binder Jetting Printing of BaTiO3 and Ba0,6Sr0,4TiO3 Ceramics

Advanced Engineering Materials, EarlyView.
Powder optimization is investigated to enable binder jetting of BaTiO3 and Ba0.6Sr0.4TiO3 ferroelectric ceramics. The antagonistic relationship between flowability and binder compatibility is addressed through binder impregnation of granulated powders and fumed silica addition to fine powders.
Fanny Pruvost, Lionel Presmanes, Soléna Colin, Marie Vidal, Sophie Guillemet‐Fritsch   +4 more
wiley   +1 more source

Symmetries and reductions of integrable nonlocal partial differential equations

, 2019
In this paper, symmetry analysis is extended to study nonlocal differential equations, in particular two integrable nonlocal equations, the nonlocal nonlinear Schr\"odinger equation and the nonlocal modified Korteweg--de Vries equation.
Peng, Linyu
core   +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

Lie symmetry analysis and exact solutions of the quasi-geostrophic two-layer problem

, 2010
The quasi-geostrophic two-layer model is of superior interest in dynamic meteorology since it is one of the easiest ways to study baroclinic processes in geophysical fluid dynamics.
Alexander Bihlo, Bihlo A., Holton J. R., Ibragimov N. H., Katkov V. L., Katkov V. L., Meleshko S. V., Olver P. J., Ovsiannikov L. V., Polyanin A. D., Popovych H. V., Pukhnachov V. V., Roman O. Popovych   +12 more
core   +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, Santiago Benito, Özge Özgün, Sebastian Weber, Markus Stricker   +4 more
wiley   +1 more source

Lie symmetry analysis of stochastic SIRS model

Communications in Mathematical Biology and Neuroscience, 2019
In this paper, we discuss the connection between Lie symmetry of a SIRS stochastic differential equations and its integrability. A derived determining equation is obtained and used to find the admitted Lie point symmetries of the stochastic model. A third dimensional system is reduced into a one dimensional to achieve a linear model by mean of Symmetry
openaire   +1 more source

Influence of Test Temperature and Test Frequency on Fatigue Life of Aluminum Alloy EN AW‐2618A

Advanced Engineering Materials, EarlyView.
The influence of test temperature and test frequency on the fatigue life of EN AW‐2618A is investigated. High‐cycle fatigue tests are performed at different test temperatures and frequencies on the 1000 h/230°C overaged state. Both test parameters reduce fatigue life due to time‐dependent damage mechanisms.
Ying Han, Julian M. Rosalie, Jan Radners, Mauro Madia, Philipp von Hartrott, Birgit Skrotzki   +5 more
wiley   +1 more source

Lie symmetry analysis of a fractional Black-Scholes equation [PDF]

AIP Conference Proceedings, 2019
In 2000, Walter Wyss looked into the fractional version of the Black-Scholes equation for the first time. He gave a solution of the fractional Black-Scholes equation by using the Greens function [14]. In this paper, Lie symmetry analysis of a time fractional Black-Scholes equation with Riemann-Liouville derivative is performed.
Kam Yoon Chong, John G. O’Hara
openaire   +1 more source

High‐Temperature Nanoindentation of Metals: Assessing Thermal Drift, Frame Compliance, and Chemical Composition Effects on the Reported Mechanical Properties

Advanced Engineering Materials, EarlyView.
Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova, Steffen Brinckmann, Ruth Schwaiger   +2 more
wiley   +1 more source