Numerical investigation of a particle system compared with first and second gradient continua: Deformation and fracture phenomena*

被引：32

作者：

Battista, Antonio ^{[1
]}

Rosa, Luigi ^{[2
]}

dell'Erba, Ramiro ^{[3
]}

Greco, Leopoldo ^{[1
]}

机构：

[1] Univ Aquila, Int Res Ctr, M& MoCS, I-67100 Laquila, Italy

[2] Univ Naples Federico II, Phys Dept, Naples, Italy

[3] ENEA, Tech Unit Technol Energy & Ind, Robot Lab, Kista, Sweden

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 2017年 / 22卷 / 11期

关键词：

Discrete mechanical systems; second gradient continua; fracture; generalized continua; B-SPLINE INTERPOLATION; EDGE CONTACT FORCES; LINEAR ELASTICITY; WAVE-PROPAGATION; VIRTUAL POWER; METAMATERIALS; MODEL; HOMOGENIZATION; TRANSMISSION; REFLECTION;

D O I：

10.1177/1081286516657889

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A discrete system constituted of particles interacting by means of a centroid-based law is numerically investigated. The elements of the system move in the plane, and the range of the interaction can be varied from a more local form (first-neighbours interaction) up to a generalized nth order interaction. The aim of the model is to reproduce the behaviour of deformable bodies with standard (Cauchy model) or generalized (second gradient) deformation energy density. The numerical results suggest that the considered discrete system can effectively reproduce the behaviour of first and second gradient continua. Moreover, a fracture algorithm is introduced and some comparison between first- and second-neighbour simulations are provided.

引用

页码：2120 / 2134

页数：15

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