Results 191 to 200 of about 1,589,926 (279)

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

ML‐Accelerated Framework for Fatigue Life‐Timescale Homogenization and Cyclic Damage Evolution Under Physics Constraints

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT Predicting structural lifetime under complex loading remains a major challenge in computational mechanics, especially for high cycle fatigue in large scale systems such as aircraft, bridges, and wind turbines. This difficulty arises from the need to capture fatigue damage accumulation, crack initiation, crack growth across scales, and life ...
Elsayed S. Elsayed   +2 more
wiley   +1 more source

Development of Hamiltonian for Structural Applications by Quantum Annealing Assuming Finite Element Method

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 17, 15 September 2026.
ABSTRACT Quantum annealing is emerging as a practical tool for large‐scale combinatorial optimization. We map continuum displacements and element densities to binary variables, turning both deformation analysis and topology optimization into quadratic unconstrained binary optimization (QUBO) problems that run on today's annealers.
Rio Honda   +5 more
wiley   +1 more source

A New Paradigm for Understanding the Rheology and Processability of Poly(p‐Phenylene Terephthalamide) Liquid‐Crystalline Solutions

open access: yesJournal of Applied Polymer Science, Volume 143, Issue 34, September 10, 2026.
Kevlar is traditionally modeled as a rigid‐rod polymer, yet rheological behavior deviates from this assumption. The review introduces a novel “twist‐tie” entanglement theory for aramid polymer chains in the nematic liquid crystal state, providing a molecular explanation for deviations from rigid‐rod models. Understanding twist‐tie entanglement dynamics
Emma Egli   +3 more
wiley   +1 more source

Strain‐Programmable Luminescent Adhesive Patch With Tartrazine‐Mediated Optical Skin Clearing for Photochemical Tissue Bonding

open access: yesAdvanced Functional Materials, Volume 36, Issue 73, 10 September 2026.
We propose a suture‐complementary approach that integrates optical skin clearing with a strain‐programmable luminescent adhesive patch. Hyaluronic acid promotes transdermal delivery of tartrazine to improve optical clearing and stabilizes its interaction with a photosensitizer. Optical clearing increases the penetration depth of visible light into skin,
Seong‐Jong Kim   +6 more
wiley   +1 more source

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