Turnitin
降AI改写
早检测系统
早降重系统
Turnitin-UK版
万方检测-期刊版
维普编辑部版
Grammarly检测
Paperpass检测
checkpass检测
PaperYY检测
A review of local-to-nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics
Abstract Local-to-nonlocal (LtN) coupling refers to a class of methods aimed at combining
nonlocal and local modeling descriptions of a given system into a unified coupled …
nonlocal and local modeling descriptions of a given system into a unified coupled …
Nonlocal attention operator: Materializing hidden knowledge towards interpretable physics discovery
Despite recent popularity of attention-based neural architectures in core AI fields like natural
language processing (NLP) and computer vision (CV), their potential in modeling complex …
language processing (NLP) and computer vision (CV), their potential in modeling complex …
Towards a unified theory of fractional and nonlocal vector calculus
Nonlocal and fractional-order models capture effects that classical partial differential
equations cannot describe; for this reason, they are suitable for a broad class of engineering …
equations cannot describe; for this reason, they are suitable for a broad class of engineering …
Data-driven learning of nonlocal physics from high-fidelity synthetic data
A key challenge to nonlocal models is the analytical complexity of deriving them from first
principles, and frequently their use is justified a posteriori. In this work we extract nonlocal …
principles, and frequently their use is justified a posteriori. In this work we extract nonlocal …
Peridynamic neural operators: A data-driven nonlocal constitutive model for complex material responses
Neural operators, which can act as implicit solution operators of hidden governing
equations, have recently become popular tools for learning the responses of complex real …
equations, have recently become popular tools for learning the responses of complex real …
A data-driven peridynamic continuum model for upscaling molecular dynamics
Nonlocal models, including peridynamics, often use integral operators that embed
lengthscales in their definition. However, the integrands in these operators are difficult to …
lengthscales in their definition. However, the integrands in these operators are difficult to …
Heterogeneous peridynamic neural operators: Discover biotissue constitutive law and microstructure from digital image correlation measurements
Human tissues are highly organized structures with collagen fiber arrangements varying
from point to point. Anisotropy of the tissue arises from the natural orientation of the fibers …
from point to point. Anisotropy of the tissue arises from the natural orientation of the fibers …
Towards a unified theory of fractional and nonlocal vector calculus
Nonlocal and fractional-order models capture effects that classical partial differential
equations cannot describe; for this reason, they are suitable for a broad class of engineering …
equations cannot describe; for this reason, they are suitable for a broad class of engineering …
Peridynamic micromechanics of composites: a review
VA Buryachenko - Journal of Peridynamics and Nonlocal Modeling, 2024 - Springer
A static peridynamic (proposed by Silling, see J. Mech. Phys. Solids 2000; 48: 175–209)
composite materials (CMs) of both the random and periodic structures are considered. In the …
composite materials (CMs) of both the random and periodic structures are considered. In the …
Nonlocal diffusion models with consistent local and fractional limits
For some spatially nonlocal diffusion models with a finite range of nonlocal interactions
measured by a positive parameter δ, we review their formulation defined on a bounded …
measured by a positive parameter δ, we review their formulation defined on a bounded …