Results 71 to 80 of about 4,918 (271)

Rafting of Ni‐Based Superalloys Under Multiaxial Load as Understood by Phase‐Field Simulations and Critical Experiments

Advanced Engineering Materials, EarlyView.
Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan, David Bürger, Gunther Eggeler, Oleg Shchyglo, Ingo Steinbach, Muhammad Adil Ali   +5 more
wiley   +1 more source

Tripled Fixed Point in Ordered Multiplicative Metric Spaces

Journal of Nonlinear Analysis and Application, 2017
In this paper, we present some triple fixed point theorems in partially ordered multiplicative metric spaces depended on another function. Our results generalise the results of [6] and [5].
Laishram Shanjit, Yumnam Rohen
openaire   +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 the non-Archimedean metric Mahler measure

, 2009
Recently, Dubickas and Smyth constructed and examined the metric Mahler measure and the metric naïve height on the multiplicative group of algebraic numbers. We give a non-Archimedean version of the metric Mahler measure, denoted M∞, and prove that M∞(α)=
Samuels, Charles L., Samuels, C., Paul Fili, Charles L. Samuels, Fili, P., Fili, Paul   +5 more
core   +1 more source

Symbolic Regression and Multi‐Objective Optimization of the Flory–Huggins Interaction Parameter for Hydrogels

Advanced Engineering Materials, EarlyView.
We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang, Adrian Ehrenhofer, Thomas Wallmersperger   +2 more
wiley   +1 more source

The Bhattacharyya metric as an absolute similarity measure for frequency coded data [PDF]

, 1998
summary:This paper highlights advantageous properties of the Bhattacharyya metric over the chi-squared statistic for comparing frequency distributed data.
Rockett, Peter I., Aherne, Frank J., Thacker, Neil A.   +2 more
core   +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

Fixed filter bases of multiplicative contractions on multiplicative metric spaces

Surveys in Mathematics and its Applications, 2023
Summary: Fixed filter base \(\mathbb{B}\) of a mapping \(f\) consists of multiplicative open sets such that for given \(B\in\mathbb{B}\), there is an \(A\in\mathbb{B}\) satisfying \(f(A)\subseteq B\). Also, the constructions of fixed filter bases have been established and some results for fixed filter bases of different types of multiplicative ...
openaire   +2 more sources

Optimization of the Production of Rubber Compounds Using Mathematical Models

Advanced Engineering Materials, EarlyView.
Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle, Andreas Limper, Ulrich Giese, Carlos Lucke, Mario Beiner, Christoph Gögelein, Lisa Leuchtenberger‐Engel, Christian Hopmann   +7 more
wiley   +1 more source

On Weak Compatible Mappings, 3-D Column Graphs Approach in Multiplicative Generalized Metric Spaces With an Application

Journal of Mathematics
The purpose of this work is to investigate the approach to 3-D column graphs in multiplicative generalized metric spaces (MGM-spaces) utilizing single-valued mappings with an application. In MGM-space, we use weakly compatible four self-mappings to prove
Saif Ur Rehman, Muhammad Sohail, Tayyab Mahmood, Hamza Ali Abujabal, Taoufik Moulahi, Muhammad Imran Haider   +5 more
doaj   +1 more source