Results 91 to 100 of about 2,694 (308)

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

Advanced Science, EarlyView.
This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong, James Trevarthen, Igor Dolbnya, Wadwan Singhapong, Nicholas Pilato, Richard Butler, Jiraphant Srisuriyachot, Alexander J. G. Lunt   +7 more
wiley   +1 more source

A boundary value problem for the fourth-order degenerate equation of the mixed type

Қарағанды университетінің хабаршысы. Математика сериясы
Many problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
doaj   +1 more source

Studying behavior of the asymptotic solutions to P-Laplacian type diffusion-convection model [PDF]

مجلة جامعة الانبار للعلوم الصرفة
The rescaling method is presented to allow us to establish nonnegative local solutions to the evolution of the Cauchy problem (CP) of the nonlinear degenerate parabolic p-Laplacian process with conservation laws that are posed in one-dimensional space ...
Habeeb Aal-Rkhais, Ruba Qasim
doaj   +1 more source

Well-posedness and stationary solutions

, 2011
In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Grinfeld, Michael, Burns, Martin
core  

Phase Diagrams and Piezoelectric Properties of Wurtzite Al1−x−yScxGdyN Heterostructural Alloys

Advanced Science, EarlyView.
This study demonstrates ferroelectricity and piezoelectric properties improvement of quaternary wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films, guided by density functional theory calculations. Wurtzite Al1−x−yScxGdyN${\rm Al}_{1-x-y}{\rm Sc}_x{\rm Gd}_y{\rm N}$ films have a high optical bandgap, enhanced piezoelectric ...
Julia L. Martin, Cheng‐Wei Lee, Nate S.P. Bernstein, Thi Nguyen, Ande Bryan, Eli Cooper, John S. Mangum, Sage R. Bauers, Andriy Zakutayev, Keisuke Yazawa, Prashun Gorai, Rebecca W. Smaha   +11 more
wiley   +1 more source

Approximate general solution of degenerate parabolic equations related to population genetics

Electronic Journal of Differential Equations, 1995
degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new ...
Kazuo Amano
doaj  

Mechanically Robust Biodegradable Stents With Theragenerative Vascular Responses via Combined 3D Printing and Janus Nanoengineering

Advanced Science, EarlyView.
This work introduces a theragenerative 3D‐printed biodegradable stent with Janus nanoarchitecture for spatially controlled vascular healing. A luminal tantalum ion–implanted surface accelerates endothelialization and hemocompatibility, while an abluminal sirolimus/poly‐L‐lactic acid–tantalum layer provides sustained drug release and suppresses smooth ...
Jong Hwa Seo, Dong‐Sung Won, Hyun Lee, Seojoon Bang, Hyeong Seok Kang, Ju Yeong Gwon, Chan Ho Moon, Ji Won Kim, Yubeen Park, Minho Kang, Dong Yun Lee, Donghyun Lim, Kisuk Yang, Gi Doo Cha, Soo‐Hong Lee, Tae‐Sik Jang, Seokbeom Kim, Jun‐Kyu Park, Jung‐Hoon Park, Hyun‐Do Jung   +19 more
wiley   +1 more source

Single‐Particle Mid‐Infrared Photothermal Imaging Reveals Hidden Heterogeneity in Real‐World Micro‐ and Nanoplastics

Advanced Science, EarlyView.
Mid‐infrared photothermal imaging enables multidimensional profiling of micro‐ and nanoplastics in bottled water. A total of 9.9 × 104 particles L−1 is detected, with 64% in the nanoscale regime. Spectral evolution, including peak narrowing and band shifts, reveals local chain reorganization in polyethylene terephthalate (PET), highlighting intrinsic ...
Xinyu Deng, Yongqing Zhang, Xiaobin Tang, Hyeon Jeong Lee, Delong Zhang   +4 more
wiley   +1 more source

Gradient bounds for solutions of nonlinear strictly elliptic equations, applications and extensions

ITM Web of Conferences, 2018
In this short manuscript, we briefly recall some well-known methods for obtaining gradient bounds of viscosity solutions for elliptic and parabolic equations.
Duc Nguyen Vinh
doaj   +1 more source

Singularity and Decay Estimates for a Degenerate Parabolic Equation

Complexity, 2021
In this paper, a degenerate parabolic equation ut − div(|x|θ∇u) = |x|aup with p > 1 and θ < 2, a ∈ ℝ, is considered. Based on rescaling arguments combined with a doubling property, the space‐time singularity and decay estimates are established. Moreover, a universal and a priori bound of global nonnegative solutions for the corresponding initial ...
openaire   +2 more sources