A new type of peridynamics: Element-based peridynamics
A new type of peridynamics: Element-based peridynamics
复制标题
新型近场动力学：基于单元的近场动力学
DOI：
10.1016/j.cma.2020.113098
复制
发表时间：
2020-07
影响因子：
7.2
通讯作者：
Bing Wang
中科院分区：
文献类型：
--
作者：
Shuo Liu;Guodong Fang;Jun Liang;Maoqing Fu;Bing Wang
一般的周期动力学理论是利用地平线中粒子的相互作用建立起来的。粒子之间的相互作用可以用弹簧、杆和梁等来连接。本文提出了基于单元的周期动力学(EBPD)，它用水平方向上的单元来表示粒子之间的相互作用，并且完全保留了连续介质力学中的基本单元概念。EBPD的力密度用2节点杆单元描述一维问题，3节点三角形单元描述二维问题，4节点四面体单元描述三维问题。根据最小势能原理推导了EBPD方程。详细介绍了EBPD的表面效应处理、边界条件、破坏准则和求解过程。一维奇异杆、二维定常裂纹尖端解、二维板裂纹扩展和三维立方体算例验证了该方法的有效性。提出的EBPD模型用于弹性力学，并定义了新的非局部应力应变表达式。此外，EBPD不包含泊松比的限制，也不包含零能模。此外，EBPD还具有研究非均匀离散化、变视界、塑性、热力学和各向异性材料的潜力。也便于与有限元耦合，减少计算负担。
The general peridynamic theories are constructed using the interactions of particles in a horizon. The interactions of particles can be connected by using spring, rod and beam, etc. Element-based peridynamics (EBPD) is proposed in the present study, in which the interactions of particles are expressed by using elements in a horizon, and the basic element concepts in the continuum mechanics are reserved exactly. The force density of EBPD is described using 2-node rod elements for one-dimensional (1D) problems, 3-node triangle elements for two-dimensional (2D) problems and 4-node tetrahedron elements for three-dimensional (3D) problems. The EBPD equations are derived from the principle of the minimum potential energy. The treatments of surface effects, boundary conditions, failure criterion and solving process of the EBPD are provided in detail. The examples of the 1D singular bar, 2D stationary crack near-tip solution, 2D plate crack propagation and 3D cubic demonstrate the effectivity of the proposed EBPD. The proposed EBPD model is used for elasticity, and defined new nonlocal stress and strain expressions. In addition, no restriction of Poisson’s ratio and no zero energy modes are included in EBPD. Furthermore, EBPD has the potential to study the nonuniform discretization, varying horizons, plasticity, thermodynamic and anisotropic material. It is also convenient to couple with FEM to reduce the computational burden.
登录
查看更多内容
DOI：
10.1016/j.cma.2017.03.020
发表时间：
2017-06
影响因子：
7.2
作者：
H. Tian;L. Ju;Q. Du
通讯作者：
H. Tian;L. Ju;Q. Du
影响因子：
3.9
作者：
Linjuan Wang;Jifeng Xu;Jianxiang Wang;B. Karihaloo
通讯作者：
Linjuan Wang;Jifeng Xu;Jianxiang Wang;B. Karihaloo
DOI：
10.1016/j.camwa.2017.06.045
发表时间：
2017-10
期刊：
Comput. Math. Appl.
影响因子：
--
作者：
F. Mossaiby;A. Shojaei;M. Zaccariotto;U. Galvanetto
通讯作者：
F. Mossaiby;A. Shojaei;M. Zaccariotto;U. Galvanetto
影响因子：
5.4
作者：
Yile Hu;Hailong Chen;B. Spencer;E. Madenci
通讯作者：
Yile Hu;Hailong Chen;B. Spencer;E. Madenci
DOI：
10.1016/j.jcp.2014.01.027
发表时间：
2014-05
期刊：
J. Comput. Phys.
影响因子：
--
作者：
S. Oterkus;E. Madenci;A. Agwai
通讯作者：
S. Oterkus;E. Madenci;A. Agwai