Results 161 to 170 of about 288 (212)
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
This study investigates laser shock peening for enhancing fatigue performance of riveted aerospace aluminum joints. A comparative approach with cold expansion combines fatigue testing and synchrotron X‐ray methods. Integrating mechanical testing with residual stress and strain characterization provides insights into how different treatments affect the ...
Ogün Baris Tapar +6 more
wiley +1 more source
Process‐Informed Analysis of As‐Built Metal Additive Surface Features
This article introduces a novel method for feature‐based surface texture characterisation directly incorporating manufacturing variables into the feature extraction workflow. This marks a major step towards identifying process‐specific surface properties and their influence on part function and hence a holistic understanding of process–structure ...
Theresa Buchenau +5 more
wiley +1 more source
Duplex Stainless Steel Laser‐Surface Textured: Stability in Brine Solution
Controlled laser‐surface treatment (LST) of duplex DSS2205 steel is performed to increase its stability in brine solution under cyclic electrochemical assays. The superior protection with respect to flat and smooth panels is attributed to the presence of FeCr2O4 as the main protective oxide layer in the LST surface, after corrosion tests. The stability
Mohammad Rezayat +5 more
wiley +1 more source
Elinvar Materials: Recent Progress and Challenges
Elinvar materials, exhibiting temperature‐invariant elastic modulus, are critical for precision instruments and emerging technologies. This article reviews recent progress in the field, with a focus on the anomalous thermoelastic behavior observed in key material systems.
Wenjie Li, Yang Ren
wiley +1 more source
In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart +3 more
wiley +1 more source
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gmj, 2006
Abstract The number of representations of an integer as a sum of 𝑛 odd squares for 𝑛 ≡ 0 mod 4 is expressed by the number of representations as a sum of 𝑛 squares of integers and the number of representations by the lattice .
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Abstract The number of representations of an integer as a sum of 𝑛 odd squares for 𝑛 ≡ 0 mod 4 is expressed by the number of representations as a sum of 𝑛 squares of integers and the number of representations by the lattice .
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Canadian Journal of Mathematics, 1977
One of the nicest results in elementary number theory is the following, giving the relation between quadratic residues and sums of squares.
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One of the nicest results in elementary number theory is the following, giving the relation between quadratic residues and sums of squares.
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Sums of Two Squares of Sums of Two Squares
2016This article determines the order of magnitude of integers not exceeding x that can be written as sums of two squares of integers that are themselves sums of two squares. The tools include Selberg’s sieve and contour integration in the spirit of the Selberg-Delange method.
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1998
Our main aim in this chapter is to determine which integers can be expressed as the sum of a given number of squares, that is, which have the form where each xi e ℤ, for a given k. We shall concentrate mainly on the two most important cases, characterising the sums of two squares, and showing that every non-negative integer is a sum of four squares. We
Gareth A. Jones, J. Mary Jones
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Our main aim in this chapter is to determine which integers can be expressed as the sum of a given number of squares, that is, which have the form where each xi e ℤ, for a given k. We shall concentrate mainly on the two most important cases, characterising the sums of two squares, and showing that every non-negative integer is a sum of four squares. We
Gareth A. Jones, J. Mary Jones
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