Results 91 to 100 of about 12,586 (258)

Multiscale Nonlocal Elasticity: A Distributed Order Fractional Formulation [PDF]

, 2021
Wei Ding, Sansit Patnaik, Fabio Semperlotti   +2 more
openalex   +1 more source

Input Layer Regularization and Automated Regularization Hyperparameter Tuning for Myelin Water Estimation Using Deep Learning

NMR in Biomedicine, Volume 39, Issue 6, June 2026.
We propose a novel deep learning algorithm for predicting the myelin water fraction from multiple gradient‐echo or spin‐echo pulse sequences arising in magnetic resonance relaxometry (MRR) measurements of the human brain. Our method incorporates both regularized nonlinear least squares and pure deep learning through a concatenation paradigm known as ...
Mirage Modi, Shashank Sule, Jonathan Palumbo, Michael Rozowski, Griffin S. Hampton, Mustapha Bouhrara, Wojciech Czaja, Richard G. Spencer   +7 more
wiley   +1 more source

Quasinonlocal coupling of nonlocal diffusions

, 2017
We developed a new self-adjoint, consistent, and stable coupling strategy for nonlocal diffusion models, inspired by the quasinonlocal atomistic-to-continuum method for crystalline solids.
Li, Xingjie Helen, Lu, Jianfeng
core   +2 more sources

Aspects of Parameter Identification for a Micromorphic Continuum applied to a Cold‐Box Sand

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT This work is concerned with the modeling of a cold‐box sand, a composition of sand grains and a resin binder. To this end, experiments are performed, which show the following characteristics: localization phenomena in the form of a shear band, softening behavior in the force‐displacement curve, and asymmetric behavior for compression and ...
Alexander Börger, Rolf Mahnken, Ismail Caylak, Richard Ostwald   +3 more
wiley   +1 more source

The Size-Dependent Thermoelastic Vibrations of Nanobeams Subjected to Harmonic Excitation and Rectified Sine Wave Heating

Mathematics, 2020
In this article, a nonlocal thermoelastic model that illustrates the vibrations of nanobeams is introduced. Based on the nonlocal elasticity theory proposed by Eringen and generalized thermoelasticity, the equations that govern the nonlocal nanobeams are
Ahmed E. Abouelregal, Marin Marin
doaj   +1 more source

FE2 Method to Model Rod‐ and Beam‐Like Atomic Based Nanostructures

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The mechanical behaviour of rod‐ and beam‐like atomistic nanostructures is analysed using the FE2${\rm FE}^2$ method. At the macroscopic scale, the system is described by a two‐dimensional Timoshenko beam model. On the microscopic level, molecular mechanics is used.
Julian Ochs, Jens Wackerfuß
wiley   +1 more source

Wedge disclination in the field theory of elastoplasticity

, 2003
In this paper we study the wedge disclination within the elastoplastic defect theory. Using the stress function method we found exact analytical solutions for all characteristic fields of a straight wedge disclination in a cylinder.
Anthony, deWit, deWit, deWit, deWit, Edelen, Eringen, Eringen, Eringen, Gutkin, Gutkin, Gutkin, Gutkin, Hirth, Kossecka, Kröner, Lazar, Lazar, Lazar, Malyshev, Markus Lazar, Mura, Povstenko, Romanov, Valsakumar   +24 more
core   +1 more source

On the convergence of the nonlocal nonlinear model to the classical elasticity equation [PDF]

, 2021
H.A. Erbay, S. Erbay, A. Erkip
openalex   +1 more source

How Does Heterogeneity Control Strain Localization Patterns in High‐Porosity Rocks?

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract We aim to explore how heterogeneous porosity and grain size contribute to strain localization patterns in highly porous rocks based on phase‐field simulations. The strain localization patterns, including shear bands, dilatation bands, and compaction bands, are commonly observed in geological field studies and laboratory experiments.
Yunteng Wang, Chi Zhang, Philipp Braun, Xuan Kang, Wei Wu   +4 more
wiley   +1 more source

Analysis of magneto-aerothermal load effects on variable nonlocal dynamics of functionally graded nanobeams using Bernstein polynomials

Curved and Layered Structures
This study explores the relationship between the variable nonlocal parameter and material variations in functionally graded (FG) nanobeams incorporating the influence of unsteady aero thermal and magnetic load defined by the first-order Piston theory ...
Selvamani Rajendran, Rubine Loganathan, Thangamuni Prabhakaran, Dimitri Rossana, Tornabene Francesco   +4 more
doaj   +1 more source