Peridynamics review

A Javili, R Morasata, E Oterkus… - … and Mechanics of …, 2019 - journals.sagepub.com
Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …

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 …

[PDF][PDF] 近场动力学方法及其应用

黄丹, 章青, 乔丕忠, 沈峰 - 力学进展, 2010 - lxjz.cstam.org.cn
近场动力学方法及其应用* Page 1 第40 卷第4 期 力学进展 Vol. 40 No. 4 2010 年7 月25 日
ADVANCES IN MECHANICS July 25, 2010 近场动力学方法及其应用* 黄丹1,2,† 章青1,2 乔丕忠 …

Dual‐horizon peridynamics

H Ren, X Zhuang, Y Cai… - International Journal for …, 2016 - Wiley Online Library
In this paper, we develop a dual‐horizon peridynamics (DH‐PD) formulation that naturally
includes varying horizon sizes and completely solves the 'ghost force'issue. Therefore, the …

At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: an underestimated and still topical contribution of Gabrio …

F Dell'Isola, U Andreaus… - … and Mechanics of Solids, 2015 - journals.sagepub.com
Gabrio Piola's scientific papers have been underestimated in mathematical physics
literature. Indeed, a careful reading of them proves that they are original, deep and far …

An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis

D Huang, G Lu, P Qiao - International Journal of Mechanical Sciences, 2015 - Elsevier
An extended bond-based peridynamic (PD) approach is presented for quasi-static
mechanical behavior and brittle failure analysis of materials and structures. A local artificial …

The peridynamic formulation for transient heat conduction

F Bobaru, M Duangpanya - International Journal of Heat and Mass Transfer, 2010 - Elsevier
In bodies where discontinuities, like cracks, emerge and interact, the classical equations for
heat and mass transfer are not well suited. We propose a peridynamic model for transient …

An energy based failure criterion for use with peridynamic states

JT Foster, SA Silling, W Chen - International Journal for …, 2011 - dl.begellhouse.com
Peridynamics is a continuum reformulation of the standard theory of solid mechanics. Unlike
the partial differential equations of the standard theory, the basic equations of peridynamics …

An energy-based peridynamic model for fatigue cracking

CT Nguyen, S Oterkus, E Oterkus - Engineering Fracture Mechanics, 2021 - Elsevier
Fatigue design assessment is a crucial step in the design process of ships and offshore
structures. To date, the stochastic approach is commonly used to calculate the total lifetime …

A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities

F Bobaru, M Duangpanya - Journal of Computational Physics, 2012 - Elsevier
We introduce a multidimensional peridynamic formulation for transient heat-transfer. The
model does not contain spatial derivatives and uses instead an integral over a region …