Results 51 to 60 of about 5,554,646 (206)

A Test Function Method for Weakly Coupled Systems With Derivative‐Type Nonlinearity

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider a two by two system of inequalities which include fractional powers of the Laplace operator, coupled through a semilinear term of derivative type. We prove the nonexistence of global‐in‐time weak solutions for powers below the critical curve and possibly on the critical curve.
Marcello D'Abbicco, Antonio Lagioia
wiley   +1 more source

Investigation of static behavior of single-walled carbon nanotubes with helical axes: exact analytical solution

International Journal of Smart and Nano Materials
This study investigates the static behavior of single-walled carbon nanotubes (SWCNTs) with helical axes using Eringen’s nonlocal elasticity theory. The differential form of the nonlocal theory is employed to establish the relationship between local and ...
Ali Murtaza Dalgıç, Mertol Tüfekci, İnci Pir, Ekrem Tüfekci   +3 more
doaj   +1 more source

From Biological Fractal Dynamics to Analog Fractional‐Order Circuits: A System Design Framework Based on Operatorization Thought

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Fractional calculus, with its unique advantage in describing memory and nonlocal effects, has become a key tool for modeling nonlinear dynamic systems. Its integration with circuit systems has opened up a new paradigm for modern circuit design.
Zhimo Jian, Zheng Li, Gang Peng, Chaoqian Luo, Yajun Yin   +4 more
wiley   +1 more source

Peach-Koehler Forces within the Theory of Nonlocal Elasticity [PDF]

, 2006
We consider dislocations in the framework of Eringen's nonlocal elasticity. The fundamental field equations of nonlocal elasticity are presented. Using these equations, the nonlocal force stresses of a straight screw and a straight edge dislocation are given.
openaire   +2 more sources

A Phase‐Field Model for Quasi‐Dynamic Rupture Nucleation and Propagation of In‐Plane Faults

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Computational modeling of faulting processes is an essential tool for understanding earthquake mechanics but remains challenging due to the structural and material complexities of fault zones. The phase‐field method has recently enabled unified modeling of fault propagation and off‐fault damage within a fracture‐mechanics‐based framework ...
Fan Fei, Md Shumon Mia, Ahmed E. Elbanna, Jinhyun Choo   +3 more
wiley   +1 more source

Unveiling Van Der Waals Forces and Associated Hamaker Constants Across the Nanomaterial Landscape With Advanced Atomic Force Microscopy

Small Methods, EarlyView.
Van der Waals interactions are reviewed through the lens of advanced atomic force microscopy, highlighting recent progress in nanoscale quantification of Hamaker constants. Emerging methodologies enable high‐resolution mapping of intermolecular forces in 2D materials and biological systems, bridging experimental measurements with quantum‐informed ...
Amir Farokh Payam, Horacio V. Guzman, Alexandre Tkatchenko   +2 more
wiley   +1 more source

Axial load induced vibrational changes in nonlocal stress-driven beams

Applications in Engineering Science
This research examines the impact of axial load on the vibrational properties of nonlocal nanobeams. The theory of stress-driven nonlocal elasticity is utilized to characterize the response of the beam, integrating the influence of axial loads as a ...
Indronil Devnath, Mohammad Nazmul Islam
doaj   +1 more source

Influence of flexoelectric, small-scale, surface and residual stress on the nonlinear vibration of sigmoid, exponential and power-law FG Timoshenko nano-beams

Journal of Low Frequency Noise, Vibration and Active Control, 2019
This research deals with the nonlinear vibration of the functionally graded nano-beams based on the nonlocal elasticity theory considering surface and flexoelectric effects.
Mohammad Arefi, Mahmoud Pourjamshidian, Ali Ghorbanpour Arani, Timon Rabczuk   +3 more
doaj   +1 more source

Buckling Analysis of Embedded Nanosize FG Beams Based on a Refined Hyperbolic Shear Deformation Theory [PDF]

Journal of Applied and Computational Mechanics, 2018
In this study, the mechanical buckling response of refined hyperbolic shear deformable (FG) functionally graded nanobeams embedded in an elastic foundation is investigated based on the refined hyperbolic shear deformation theory.
Aicha Bessaim, Mohammed Sid Ahmed Houari, Bousahla Abdelmoumen Anis, Abdelhakim Kaci, Abdelouahed Tounsi, El Abbes Adda Bedia   +5 more
doaj   +1 more source

The Evolution of Interest‐Rate Models: From the Yield Curve to the Swaption Cube

Journal of Economic Surveys, EarlyView.
ABSTRACT Interest‐rate modelling is often taught as a catalogue of competing stochastic equations, obscuring why models were created and why modern sell‐side desks use several simultaneously. This survey reorganises the field around five layers of a pricing architecture: curve construction; arbitrage‐free dynamics; volatility‐smile representation ...
Xuan Feng, Salman Huseynov, Diomides Mavroyiannis   +2 more
wiley   +1 more source