Results 101 to 110 of about 70,478 (262)

Precipitation Simulations of the O‐Phase in Ti2AlNb Alloys Processed by Laser Powder Bed Fusion

Advanced Engineering Materials, EarlyView.
Simulated and experimental evolution of the O‐phase volume fraction during postprocessing of a Ti‐21Al‐25Nb (at.%) alloy processed by laser powder bed fusion. With results of sensitivity to input parameters from a thorough and quantified analysis, the interfacial energy matrix/precipitate is the most relevant input parameter for the simulation of the O‐
Silvana Tumminello, Joachim Gussone, Suzana G. Fries, Marcus Rackel, Andreas Stark, Norbert Schell, Jan Haubrich, Guillermo Requena   +7 more
wiley   +1 more source

Uniqueness of positive radial solutions for a class of $(p,q)$-Laplacian problems in a ball

Electronic Journal of Qualitative Theory of Differential Equations
We prove the uniqueness of positive radial solution to the $(p,q)$-Laplacian problem \begin{equation*} \left\{ \begin{aligned} -\Delta _{p}u-\Delta _{q}u={}&\lambda f(u)\quad \text{in }\Omega , \\ u={}&0\quad \text{on }\partial \Omega ,% \end{aligned}%
Dang Dinh Hai, Xiao Wang
doaj   +1 more source

Modeling Dislocation Cutting of γ′ Precipitates in Ni‐Base Superalloys: Linking Atomistic and Dislocation Dynamics Simulations

Advanced Engineering Materials, EarlyView.
Dislocation cutting of γ′ precipitates in Ni‐based superalloys is investigated by linking atomistic simulations with discrete dislocation dynamics. The critical cutting stress is shown to be governed by the antiphase boundary energy, while line tension effects promote edge‐preferred cutting.
Frédéric Houllé, Siwen Gao, Marc Fivel, Anxin Ma, Daria Smirnova, Sriram Anand, Arun Prakash, Julien Guénolé, Alexander Hartmaier, Erik Bitzek   +9 more
wiley   +1 more source

Triple Junctions as Dislocation‐Like Defects: The Role of Grain Boundary Crystallography Revealed by Experiment and Atomistic Simulation

Advanced Engineering Materials, EarlyView.
Grain boundary triple junctions are an essential ingredient of the microstructure of polycrystalline materials. In this study, a triple junction is observed using atomic‐resolution scanning transmission electron microscopy and characterized. Computer simulations reveal that the junction has a dislocation character that is determined by the joining ...
Tobias Brink, Saba Saood, Peter Schweizer, Jörg Neugebauer, Gerhard Dehm   +4 more
wiley   +1 more source

Positive Radial Solutions for Singular Quasilinear Elliptic Equations in a Ball

Publications of the Research Institute for Mathematical Sciences, 2014
We establish the existence of positive radial solutions for the boundary value problems \left\{ \begin{array}{rcll} -\Delta _{p}u&=&\lambda f(u)&\text{ in }B, \\ u&=&0&\text{ on }\partial B, \end{array} \right.
openaire   +2 more sources

Integration of OpenCV‐Based Microscopic Adhesive Volume Measurement Into a Pyiron Workflow for Automated Data Analysis

Advanced Engineering Materials, EarlyView.
Residual adhesive after electrode loading in adhesive‐assisted resistance spot welding is quantified through a traceable experimental‐to‐digital workflow. Chromatic confocal topography provides calibrated surface‐height data, while OpenCV detects the electrode imprint and integrates adhesive height into comparable volume metrics.
Sung‐Min Wi, Jiangdong Zhao
wiley   +1 more source

On the structure of positive radial solutions for quasilinear equations in annular domains

Advances in Differential Equations, 2003
The author investigates existence, multiplicity and nonexistence of positive radial solutions to boundary value problems for the quasilinear equation \(\text{div}(A(| \nabla u| \nabla u))+\lambda h(| x| )f(u)=0\) in annular domains under general assumptions on the function \(A(u)\) by making use of some fixed-point theorems for operators on a Banach ...
openaire   +3 more sources

Foundational Machine‐Learning Interatomic Potential for Simulating Chemically Complex Ni‐Based Superalloys

Advanced Engineering Materials, EarlyView.
We apply a foundational machine‐learning interatomic potential based on the graph atomic cluster expansion (GRACE) to simulate the commercial Ni‐based single‐crystal superalloy CMSX‐4. Hybrid Monte‐Carlo/molecular dynamics sampling resolves short‐range order in the γ phase and L12 sublattice occupancies in the γ’ phase and connects them to stacking ...
Aditya Vishwakarma, Sarath Menon, Fritz Körmann, Thomas Hammerschmidt, Ralf Drautz   +4 more
wiley   +1 more source

Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry

Electronic Journal of Differential Equations, 2003
Positive entire solutions of the singular biharmonic equation $Delta^2 u + u^{-q}=0$ in $mathbb{R}^n$ with $q>1$ and $ngeq 3$ are considered. We prove that there are infinitely many radial entire solutions with different growth rates close to quadratic ...
P. J. McKenna, Wolfgang Reichel
doaj  

The positive radial solutions of a class of semilinear elliptic equations

This paper provides a complete classification of the positive radially symmetric solutions for generalized Emden equations of the type \[ \Delta u+r^{-2-\rho} h(r^{\rho} u)=0, \] where \(h(s)>0\) for \(s>0\) and \(h(0)=0\). The essential feature of these equations is that they can be transformed into autonomous equations.
Bandle, Catherine, Marcus, Moshe
openaire   +1 more source