Results 91 to 100 of about 90,064 (303)

Microstructure‐Controlled Crack Propagation and Fracture Resistance in MoSiBTiC Alloy Revealed by Multiscale Extended Finite Element Method Modeling

Advanced Engineering Materials, EarlyView.
A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du, Takahiro Kaneko, Xinyu Yan, Takahito Ohmura, Kyosuke Yoshimi   +4 more
wiley   +1 more source

Asymptotic normality and mean consistency of LS estimators in the errors-in-variables model with dependent errors

Open Mathematics, 2020
In this article, an errors-in-variables regression model in which the errors are negatively superadditive dependent (NSD) random variables is studied. First, the Marcinkiewicz-type strong law of large numbers for NSD random variables is established. Then,
Zhang Yu, Liu Xinsheng, Yu Yuncai, Hu Hongchang   +3 more
doaj   +1 more source

Strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in metris spaces [PDF]

, 2016
summary:The aim of the paper is to establish strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in a convex combination space with or without compactly uniformly integrable condition.
Nguyen, Pham Tri, Quang, Nguyen Van
core   +1 more source

Strong laws for weighted sums of widely orthant dependent random variables and applications

Open Mathematics
In this study, the strong law of large numbers and the convergence rate for weighted sums of non-identically distributed widely orthant dependent random variables are established.
Zhu Yong, Wang Wei, Chen Kan
doaj   +1 more source

Creep‐Induced Microstructural Evolution in an A2‐B2 Superalloy

Advanced Engineering Materials, EarlyView.
A 27.3Ta‐27.3Mo‐27.3Ti‐8Cr‐10Al (at.%) refractory high‐entropy alloy with precipitation‐strengthened A2‐B2 microstructure was studied by creep tests at 1030°C, which demonstrate a transition in deformation mechanisms in the range of 100–150 MPa applied stress. This is associated with changes in dislocation–precipitate interactions. Relevant deformation
Liu Yang, Aparajita Pramanik, Sandipan Sen, Shubhashis Dixit, Marcel Muench, R. J. Vikram, Daniel Schliephake, Yolita M. Eggeler, Ankur Chauhan, Martin Heilmaier, Alexander Kauffmann   +10 more
wiley   +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

Strong law of large numbers for fragmentation processes [PDF]

, 2010
In the spirit of a classical result for Crump-Mode-Jagers processes, we prove a strong law of large numbers for fragmentation processes. Specifically, for self-similar fragmentation processes, including homogenous processes, we prove the almost sure ...
Kyprianou, Andreas E, Knobloch, R., Harris, S. C., Knobloch, Robert, Kyprianou, A. E., Harris, Simon C   +5 more
core   +1 more source

Quantitative Strong Laws of Large Numbers

Electronic Journal of Probability
Using proof-theoretic methods in the style of proof mining, we give novel computationally effective limit theorems for the convergence of the Cesaro-means of certain sequences of random variables. These results are intimately related to various Strong Laws of Large Numbers and, in that way, allow for the extraction of quantitative versions of many of ...
openaire   +3 more sources

ON THE STRONG LAW OF LARGE NUMBERS. [PDF]

ON THE STRONG LAW OF LARGE NUMBERS.
This note examines the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of identically distributed random variables. Some generalizations of the Marcinkiewicz-Zygmund theorem are obtained.
Petrov, Valentin V.
openaire   +1 more source

On the weak law of large numbers for normed weighted sums of I.I.D. random variables

International Journal of Mathematics and Mathematical Sciences, 1991
For weighted sums ∑j=1najYj of independent and identically distributed random variables {Yn,n≥1}, a general weak law of large numbers of the form (∑j=1najYj−νn)/bn→P0 is established where {νn,n≥1} and {bn,n≥1} are statable constants.
André Adler, Andrew Rosalsky
doaj   +1 more source