Results 71 to 80 of about 4,000,497 (331)

Special solutions for Ricci flow equation in 2D using the linearization approach

, 2005
The 2D Ricci flow equation in the conformal gauge is studied using the linearization approach. Using a non-linear substitution of logarithmic type, the emergent quadratic equation is split in various ways.
Bakas I., Bakas I., Brown J. D., Cao H.-D., Grammaticos B., Gutperle M., MIHAI VISINESCU, Ramani A., STEFAN ADRIAN CARSTEA   +8 more
core   +1 more source

Soft‐Layered Composites with Wrinkling‐Activated Multi‐Linear Elastic Behavior, Stress Mitigation, and Enhanced Strain Energy Storage

Advanced Engineering Materials, EarlyView.
In this study, exciting new bi‐/multi‐linear elastic behavior of soft elastic composites that accompany the activation of wrinkling in the embedded interfacial layers is analyzed. The new features and performance of these composite materials, including dramatic enhancements in energy storage, can be tailored by the concentration of interfacial layers ...
Narges Kaynia, Nicholas Xuanlai Fang, Mary C. Boyce   +2 more
wiley   +1 more source

BUILDING STUDENTS' UNDERSTANDING OF QUADRATIC EQUATION CONCEPT USING NAÏVE GEOMETRY

, 2014
The purpose of this research is to know how Naive Geometry method can support students' understanding about the concept of solving quadratic equations. In this article we will discuss one activities of the four activities we developed.
A. Fachrudin, Ratu Ilma, Darmawijoyo Darmawijoyo   +2 more
semanticscholar   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

Quadratic Diophantine equations in the rational and quadratic fields [PDF]

Transactions of the American Mathematical Society, 1942
with integral coefficients from the field of rational numbers or from some quadratic field. The quantity A is defined for convenient reference. We can take ap, O without any loss of generality, by the use (if necessary) of linear transformations of determinant unity (so that the number of integral solutions is not changed).
openaire   +2 more sources

Geodesic deviation in pp-wave spacetimes of quadratic curvature gravity

, 2003
We write the equation of geodesic deviations in the spacetime of $pp$-waves in terms of the Newman-Penrose scalars and apply it to study gravitational waves in quadratic curvature gravity.
A. Accioly, A. Balakin, A. Balakin, D. Christodoulou, E.C. de Rey Neto, E.C. de Rey Neto, Edgard C. de Rey Neto, F. Canfora, F.A.E. Piran, H.-J. Schmidt, H.A. Buchdahl, J. Bičák, K. Hayashi, M. Kunzinger, M.D. Roberts, P.D. Mannheim, R. Kerner, R. Steinbauer   +17 more
core   +1 more source

Enhancing Corrosion Resistance and Mechanical Strength of 3D‐Printed Iron Polylactic Acid for Marine Applications via Laser Surface Texturing

Advanced Engineering Materials, EarlyView.
Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat, Mojtaba Karamimoghadam, Mohammadreza Lalegani Dezaki, Ali Zolfagharian, Giuseppe Casalino, Antonio Mateo, Mahdi Bodaghi   +6 more
wiley   +1 more source

From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics

Advanced Engineering Materials, EarlyView.
Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad, Hamidreza Yazdani Sarvestani, Behnam Ashrafi, Farjad Shadmehri, Mehdi Hojjati   +4 more
wiley   +1 more source

Matrix zeros of quadratic equations

Journal of Number Theory, 1988
Let A be a commutative principal ideal domain and assume that \(a,b\in A\). In this paper the authors describe (up to similarity) all the matrix zeros of the polynomial (x-a)(x-b). In terms of representation theory, they also describe and enumerate all representations of the ring A[x]/(x- a)(x-b)A[x] over A.
Galia Dafni, Leonid N. Vaserstein
openaire   +2 more sources

A Simulative Approach for the Prediction of Mesoscale Residual Stress Fields in Solution‐Strengthened Ferritic Ductile Iron

Advanced Engineering Materials, EarlyView.
This study presents a 3D representative volume element‐based simulation approach to predict mesoscopic residual stress and strain fields in silicon solid solution‐strengthened ductile cast iron. By modeling phase transformation kinetics with an enhanced Johnson–Mehl–Avrami–Kolmogorov model, the effects of varying cooling rates on residual stresses are ...
Lutz Horbach, Oliver Schenk, Valérian Iss, Ali Rajaei, Jiali Zhang, Felix Weber, Christoph Broeckmann   +6 more
wiley   +1 more source