Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow. [PDF]
Sci Rep, 2022 Siddique I +5 more
europepmc +1 more source
Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere
Advanced Engineering Materials, EarlyView.In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May +9 more
wiley +1 more source
DeepGreen: deep learning of Green's functions for nonlinear boundary value problems. [PDF]
Sci Rep, 2021 Gin CR, Shea DE, Brunton SL, Kutz JN.
europepmc +1 more source
Parallel algorithms for boundary value problems [PDF]
A general approach to solve boundary value problems numerically in a parallel environment is discussed. The basic algorithm consists of two steps: the local step where all the P available processors work in parallel, and the global step where one ...
Lin, Avi
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
On Positive Definite Kernels of Integral Operators Corresponding to the Boundary Value Problems for Fractional Differential Equations. [PDF]
Entropy (Basel), 2022 Aleroev M, Aleroev T.
europepmc +1 more source
Numerical Exploration of Thermal Shock Resistance in MgO–C Refractories
Advanced Engineering Materials, EarlyView.A mesostructure‐resolved numerical framework is developed to evaluate the thermal shock resistance of MgO–C refractories. By modeling interface debonding under rapid temperature changes and introducing a modified thermal shock parameter that accounts for mesocracks, the study shows how graphite content and aggregate size influence thermal shock ...
Jishnu Vinayak Gopi +3 more
wiley +1 more source
A pretraining domain decomposition method using artificial neural networks to solve elliptic PDE boundary value problems. [PDF]
Sci Rep, 2022 Seo JK.
europepmc +1 more source
A Topology Optimization Framework for the Inverse Design of Nonlinear Mechanical Metamaterials
Advanced Engineering Materials, EarlyView.This work uses topology optimization to design unit cells for mechanical metamaterials with a prescribed nonlinear stress–strain response. The framework adds contact and postbuckling modeling to synthesize microstructures for three highly nonlinear responses, including pseudoductile behavior, monostable with snap‐through buckling, and bistable ...
Charlie Aveline +2 more
wiley +1 more source
Publisher Correction: A pretraining domain decomposition method using artificial neural networks to solve elliptic PDE boundary value problems. [PDF]
Sci Rep, 2022 Seo JK.
europepmc +1 more source