[HTML][HTML] A review of peridynamic theory and nonlocal operators along with their computer implementations
This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific
focus on its theoretical foundations and practical implementations, including various PD …
focus on its theoretical foundations and practical implementations, including various PD …
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 …
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 …
Investigation on high-dimensional uncertainty quantification and reliability analysis of aero-engine
M Huang, Z Zhou, K Zhang, Z Li, J Li - Aerospace Science and Technology, 2023 - Elsevier
Accurate quantification of uncertainties is paramount in the contemporary design of aero-
engines, demanding substantial computational resources. This investigation introduces an …
engines, demanding substantial computational resources. This investigation introduces an …
Convergence analysis and numerical studies for linearly elastic peridynamics with dirichlet-type boundary conditions
The nonlocal models of peridynamics have successfully predicted fractures and
deformations for a variety of materials. In contrast to local mechanics, peridynamic boundary …
deformations for a variety of materials. In contrast to local mechanics, peridynamic boundary …
A meshfree peridynamic model for brittle fracture in randomly heterogeneous materials
In this work we aim to develop a unified mathematical framework and a reliable
computational approach to model the brittle fracture in heterogeneous materials with …
computational approach to model the brittle fracture in heterogeneous materials with …
Nonparametric learning of kernels in nonlocal operators
Nonlocal operators with integral kernels have become a popular tool for designing solution
maps between function spaces, due to their efficiency in representing long-range …
maps between function spaces, due to their efficiency in representing long-range …
On the prescription of boundary conditions for nonlocal poisson's and peridynamics models
We introduce a technique to automatically convert local boundary conditions into nonlocal
volume constraints for nonlocal Poisson's and peridynamic models. The proposed strategy …
volume constraints for nonlocal Poisson's and peridynamic models. The proposed strategy …
OBMeshfree: An optimization-based meshfree solver for nonlocal diffusion and peridynamics models
Abstract We present OBMeshfree, an Optimization-Based Meshfree solver for compactly
supported nonlocal integro-differential equations (IDEs) that can describe material …
supported nonlocal integro-differential equations (IDEs) that can describe material …
Large language models, physics-based modeling, experimental measurements: the trinity of data-scarce learning of polymer properties
Large language models (LLMs) bear promise as a fast and accurate material modeling
paradigm for evaluation, analysis, and design. Their vast number of trainable parameters …
paradigm for evaluation, analysis, and design. Their vast number of trainable parameters …