Results 121 to 130 of about 983 (285)

General Variational Formulation of Axisymmetric Capillary Bridges: Modeling Contact Angle Hysteresis and Capillary Forces

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet, Antoine Moreau, Antoine Logerot, Marc Médale   +3 more
wiley   +1 more source

Application of Padé approximation to Euler's constant and Stirling's formula

, 2019
The Digamma function Γ' /Γ admits a well-known (divergent) asymptotic expansion involving Bernoulli's numbers. Using Touchard type orthogonal polynomials, we determine an eective bound for the error made when this asymptotic series is replaced by its ...
Rivoal, Tanguy, Prévost, Marc
core   +1 more source

A new nonlinear integration formula for ODEs

, 1996
A new class of nonlinear one-step methods based on Euler's integration formula for the numerical solution of ordinary differential equations is presented.
Savithri, S., Sivakumar, T.R.
core   +1 more source

Overshooting of Hypoplastic Models With Intergranular Strain: Manifestation, Implications and Remedy

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Intergranular strain extensions of hypoplasticity (IGS, ISA, GIS) are widely used to model small‐strain and cyclic soil behaviour. However, recent studies and our own simulations reveal that these models can exhibit stress overshooting not only under repeated small loading cycles but also during monotonic loading.
Jan Machaček, Merita Tafili, Carlos Grandas Tavera   +2 more
wiley   +1 more source

Experimental and Modeling Investigation of Seawater Hydrolysis Effects on Aramid Fiber Rupture Behavior

Journal of Polymer Science, EarlyView.
Hydrolytic aging in seawater produces markedly different mechanical responses among commercial Aramid fibers. While some fibers exhibit progressive degradation, others maintain stable or even improved tensile behavior. Experimental yarn‐scale testing combined with mathematical degradation modeling and Arrhenius‐based lifetime prediction provides new ...
Daniel Magalhães da Cruz, Ignacio Melito, Tales Luiz Popiolek Júnior, Jakson Manfredini Vassoler, Felipe Tempel Stumpf, Fernanda Mazuco Clain, Carlos Eduardo Marcos Guilherme   +6 more
wiley   +1 more source

Exploring Extended Degenerate Bell-Based Appell Polynomials via Fractional Operators: Properties, Determinant Representations, and Numerical Illustrations

Mathematics
This paper introduces a new family of extended degenerate Bell-based Appell polynomials by applying Euler’s integral as a fractional operator to the Appell-type degenerate Bell polynomials.
Mohra Zayed, Ines Ben Omrane, Francesco Aldo Costabile, Mdi Begum Jeelani, Shahid Ahmad Wani   +4 more
doaj   +1 more source

Grass species and climatic season impact on Rhipicephalus microplus temporal abundance in a tropical region

Pest Management Science, EarlyView.
The interaction between grass species and climatic season shapes the population dynamics of the cattle tick, Rhipicephalus microplus. This information highlights the potential of forage species to influence off‐host tick dynamics. Additionally, minimum temperature and minimum relative humidity were the most influential microclimatic predictors of ...
Valesca Henrique Lima, Cárita de Souza Ribeiro‐Silva, Salorrane Miranda do Nascimento Pinto, Caio Márcio de Oliveira Monteiro, Pricila Vetrano Rizzo, Fernanda Mara Cunha Freitas, Rafael de Andrade Moral, Gabriel Moura Mascarin, Éverton Kort Kamp Fernandes   +8 more
wiley   +1 more source

Propagation of internal gravity waves: Optimal vertical discretisation and grid design based on numerical error analysis

Quarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida, Laurent Debreu, Florian Lemarié, Jérome Chanut   +3 more
wiley   +1 more source

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

Euler's φ-function in the context of ΙΔo

, 1994
It is demonstrated that we can represent Euler's φ-function by means of a Δ0-formula in such a way that the theory ΙΔ0 proves the recursion equations that are characteristic for this ...
Jumelet, M.D.
core