Results 61 to 70 of about 7,852 (179)

Advances in Delamination Analysis and Damage Prediction: A Comprehensive Review on Polymer Composite Materials

Engineering Reports, Volume 8, Issue 2, February 2026.
This comprehensive study advances delamination analysis in composites through innovative computational methods, experimental validation techniques, and predictive algorithms, collectively enhancing damage progression prediction and structural health monitoring for improved integrity in high‐performance applications.
Dhivya Elumalai, Ananda Babu Arumugam, Yitbarek Gashaw Tadesse, Mesfin Kebede Kassa, Mohit Gupta   +4 more
wiley   +1 more source

Design and Development of an Accessible Clip Gauge Extensometer for CMOD Measurement in Fracture Mechanics

Engineering Reports, Volume 8, Issue 2, February 2026.
A low‐cost clip gauge extensometer for crack mouth opening displacement was developed from accessible procedures and materials. Accuracy and repeatability comparable to commercial devices were demonstrated in calibration and fracture tests, enabling reliable measurement in CT specimens for resource‐constrained laboratories.
Isaías Chamorro‐Cruz, Alessandra Gallegos‐Sánchez, Hilario Hernández‐Moreno, Esteban Antunez‐Valencia, Sergio Guillermo Torres‐Cedillo, Gabriella Piccinelli Bocchi, Jorge Iván Reyes‐Guzmán, José Alberto Picaso‐Martínez, Jacinto Cortés‐Pérez   +8 more
wiley   +1 more source

Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function

Axioms, 2019
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and differential equations, we not only investigate properties of these new ...
Irem Kucukoglu, Burcin Simsek, Yilmaz Simsek   +2 more
doaj   +1 more source

Universality for fluctuations of counting statistics of random normal matrices

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo, Leslie Molag, Joaquim Ortega‐Cerdà   +2 more
wiley   +1 more source

One‐Dimensional Finite Elements With Arbitrary Cross‐Sectional Displacement Fields

International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.
ABSTRACT This paper introduces an unprecedented unified approach for developing structural theories with an arbitrary kinematic variable over the beam cross‐section. Each of the three displacement variables can be analyzed using an independent expansion function. Both the order of the expansion and the number of terms in each field can be any. That is,
E. Carrera, D. Scano, E. Zappino
wiley   +1 more source

Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications

Applied Mathematics in Science and Engineering, 2023
The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj   +1 more source

Novel Formulas for B-Splines, Bernstein Basis Functions, and Special Numbers: Approach to Derivative and Functional Equations of Generating Functions

Mathematics, 2023
The purpose of this article is to give relations among the uniform B-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method.
Yilmaz Simsek
doaj   +1 more source

Super‐Convergent Meshless Computations for Active Vibration Control of Bi‐Directional Functionally Graded Terfenol‐D Beams with Twisted Geometry

Advanced Theory and Simulations, Volume 9, Issue 1, January 2026.
This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil, Tanmoy Mukhopadhyay, Susmita Naskar   +2 more
wiley   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Old and New Identities for Bernoulli Polynomials via Fourier Series

International Journal of Mathematics and Mathematical Sciences, 2012
The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0,1) are linear combinations of terms of ...
Luis M. Navas, Francisco J. Ruiz, Juan L. Varona   +2 more
doaj   +1 more source