Peridynamic theory of solid mechanics

SA Silling, RB Lehoucq - Advances in applied mechanics, 2010 - Elsevier
Publisher Summary The classical theory of solid mechanics is based on the assumption of a
continuous distribution of mass within a body and all internal forces are contact forces that …

Experimental polymer mechanochemistry and its interpretational frameworks

S Akbulatov, R Boulatov - ChemPhysChem, 2017 - Wiley Online Library
Polymer mechanochemistry is an emerging field at the interface of chemistry, materials
science, physics and engineering. It aims at understanding and exploiting unique reactivities …

Active vertex model for cell-resolution description of epithelial tissue mechanics

DL Barton, S Henkes, CJ Weijer… - PLoS computational …, 2017 - journals.plos.org
We introduce an Active Vertex Model (AVM) for cell-resolution studies of the mechanics of
confluent epithelial tissues consisting of tens of thousands of cells, with a level of detail …

Application of atomic stress to compute heat flux via molecular dynamics for systems with many-body interactions

D Surblys, H Matsubara, G Kikugawa, T Ohara - Physical Review E, 2019 - APS
Although the computation of heat flux and thermal conductivity either via Fourier's law or the
Green-Kubo relation has become a common task in molecular dynamics simulation …

[HTML][HTML] A perspective on the microscopic pressure (stress) tensor: History, current understanding, and future challenges

K Shi, ER Smith, EE Santiso… - The Journal of Chemical …, 2023 - pubs.aip.org
The pressure tensor (equivalent to the negative stress tensor) at both microscopic and
macroscopic levels is fundamental to many aspects of engineering and science, including …

Importance of force decomposition for local stress calculations in biomembrane molecular simulations

JM Vanegas, A Torres-Sánchez… - Journal of chemical …, 2014 - ACS Publications
Local stress fields are routinely computed from molecular dynamics trajectories to
understand the structure and mechanical properties of lipid bilayers. These calculations can …

Thermomechanics of monolayer graphene: Rippling, thermal expansion and elasticity

W Gao, R Huang - Journal of the Mechanics and Physics of Solids, 2014 - Elsevier
Thermomechanical properties of monolayer graphene with thermal fluctuation are studied
by both statistical mechanics analysis and molecular dynamics (MD) simulations. While the …

The glycolipid GM1 reshapes asymmetric biomembranes and giant vesicles by curvature generation

R Dasgupta, MS Miettinen, N Fricke… - Proceedings of the …, 2018 - National Acad Sciences
The ganglioside GM1 is present in neuronal membranes at elevated concentrations with an
asymmetric spatial distribution. It is known to generate curvature and can be expected to …

Application of artificial neural networks for the prediction of interface mechanics: a study on grain boundary constitutive behavior

M Fernández, S Rezaei, J Rezaei Mianroodi… - Advanced modeling and …, 2020 - Springer
The present work aims at the identification of the effective constitutive behavior of Σ 5 Σ 5
aluminum grain boundaries (GB) for proportional loading by using machine learning (ML) …

[HTML][HTML] Peridynamic stress is the static first Piola–Kirchhoff Virial stress

J Li, S Li, X Lai, L Liu - International Journal of Solids and Structures, 2022 - Elsevier
The peridynamic stress formula proposed by Lehoucq and Silling (2008) is cumbersome to
be implemented in numerical computations. In this paper, we show that the peridynamic …