Study of three-dimensional Euler-Bernoulli beam structures using element-based peridynamic model

被引：25

作者：

Liu, Shuo ^{[1
]}

Fang, Guodong ^{[1
]}

Liang, Jun ^{[2
]}

Fu, Maoqing ^{[1
]}

Wang, Bing ^{[1
]}

Yan, Xiangqiao ^{[1
]}

机构：

[1] Harbin Inst Technol, Sci & Technol Adv Composites Special Environm Key, Harbin 150001, Peoples R China

[2] Beijing Inst Technol, Inst Adv Struct Technol, Beijing 100081, Peoples R China

来源：

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS | 2021年 / 86卷

基金：

中国国家自然科学基金;

关键词：

Element-based; Peridynamics; Damage; Euler-Bernoulli beam; NONORDINARY; SIMULATION; DEFORMATION;

D O I：

10.1016/j.euromechsol.2020.104186

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

An element-based peridynamic (EBPD) model is developed to represent the Euler-Bernoulli beam. The force density is described by the two-node beam elements with three displacement and three rotation freedom degrees. The dynamic and static problems of the EBPD beam model are derived from Lagrangian formalism and variation principle, respectively. The Newmark and Gauss elimination methods are used to solve dynamic and static problems. The damage criterion expressed by the critical strain energy density is extended to the EBPD beam. Moreover, two different schemes of boundary conditions are discussed. Finally, various benchmark cases subjected to different loading and boundary conditions are used to validate the proposed EBPD beam model.

引用

页数：17

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