Results 61 to 70 of about 114,654 (282)
Stochastic Differential Equations with Discontinuous Diffusions
, 2019 We study one-dimensional stochastic differential equations of form $dX_t = (X_t)dY_t$, where $Y$ is a suitable H lder continuous driver such as the fractional Brownian motion $B^H$ with $H>\frac12$. The innovative aspect of the present paper lies in the assumptions on diffusion coefficients $ $ for which we assume very mild conditions.
Torres, Soledad, Viitasaari, Lauri
openaire +2 more sources
Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley +1 more source
Ghizzetti's theorem for piecewise continuous solutions
International Journal of Mathematics and Mathematical Sciences, 1994 We obtain that certain second order differential equations have discontinuous solutions which behaves asymptotically as straight lines.
Manuel Pinto
doaj +1 more source
Advances in Difference Equations, 2017 We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order equations.
S Melike Aydogan +3 more
doaj +1 more source
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Mathematics, 2023 This article presents a study on singularly perturbed 1D parabolic Dirichlet’s type differential equations with discontinuous source terms on an interior line.
R. Soundararajan +2 more
doaj +1 more source
Creep Properties and Deformation Mechanism of Additively Manufactured NiAl‐CrMo Composites
Advanced Engineering Materials, EarlyView.Additively manufactured NiAl‐CrMo composites contain numerous interfaces and cell boundaries that control their creep response. At 700°C under high applied stress, creep is dominated by dislocation‐controlled power‐law mechanisms. At 800°C–900°C and lower stresses, creep is primarily diffusion‐controlled along cell boundaries.
Jan Vollhüter +9 more
wiley +1 more source
Stretching the Printability Metric in Direct‐Ink Writing with Highly Extensible Yield‐Stress Fluids
Advanced Functional Materials, EarlyView.This study introduces “drawability” as a new metric for assessing printability in direct‐ink writing, focusing on gap‐spanning performance and speed robustness. By designing yield‐stress fluids with high extensibility, we demonstrate that extensional strain‐to‐break significantly enhances printability.
Chaimongkol Saengow +9 more
wiley +1 more source
Discontinuous semilinear differential equations and multiple valued maps [PDF]
Proceedings of the American Mathematical Society, 1977 To treat boundary value problems with nonlinearity of the form g ( u ) g(u) where g ∈ L ∞ loc ( R ) g \in L_\infty ^{{\text {loc ...
openaire +1 more source
Advanced Functional Materials, EarlyView.Shellac, a centuries‐old natural resin, is reimagined as a green material for flexible electronics. When combined with silver nanowires, shellac films deliver transparency, conductivity, and stability against humidity. These results position shellac as a sustainable alternative to synthetic polymers for transparent conductors in next‐generation ...
Rahaf Nafez Hussein +4 more
wiley +1 more source