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首页 > 过刊浏览>2022年第50卷第4期 >455-462. DOI:10.11908/j.issn.0253-374x.22077
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扩展键基近场动力学的几何非线性扩展
CSTR:
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作者:
作者单位:

1.河海大学 岩土力学与堤坝工程教育部重点实验室，江苏 南京 210098;2.河海大学 土木与交通学院，江苏 南京 210098

作者简介:

朱其志（1979—），男，教授，博士生导师，主要研究方向为本构关系和数值计算方法。 E-mail： qzhu@hhu.edu.cn

通讯作者:

李惟简（1994—），男，博士生，主要研究方向为非局部数值计算方法。E-mail： weijian_li@hhu.edu.cn

中图分类号:

TU45

基金项目:

中央高校基本科研业务费专项资金（B200203095）；江苏省研究生科研与实践创新计划（KYCX20_0450）


Geometrical Nonlinear Extension of Extended Bond-Based Peridynamic Model
Author:
Affiliation:

1.Key Laboratory of the Ministry of Education for Geomechanics and Embankment Engineering， Hohai University，Nanjing 210098， China;2.College of Civil and Transportation Engineering， Hohai University， Nanjing 210098， China

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    摘要:

    扩展键基近场动力学模型解决了经典模型中固定泊松比的限制问题，但是仅限应用于小变形情况下的模拟。提出了一种计算键变形的实现方法，利用有限变形理论中的描述使模型能够处理几何非线性问题。 通过最小二乘拟合得到物质点的局部位移场，再对位移函数求导得到局部域的变形梯度张量。固体的旋转与拉伸通过对变形梯度张量的极分解分离，从而将扩展键的变形部分从总体位移中提取。随后，通过对变形系统的各个键力进行积分，从而获得系统大变形的正确预测结果。最后，开展了几个基准测试，与非线性有限元结果进行对比并验证了所提出模型的有效性和精确性。

    Abstract:

    The extended bond-based peridynamic （XPD） model resolved the limitation of fixed Poisson’s ratio in the classical model for small deformation problems. In this paper， a novel implementation using the finite deformation formulation is proposed to deal with geometrical nonlinear problems. The rotation of solid is calculated by the polar decomposition of the deformation gradient tensor derived from the least square fitting of the local displacement field. Therefore， the deformed part of the bond deflection can be separated from the general displacements， and then correct large deformation predictions can be obtained by integrating each bond force of the deformed system. Several benchmark studies are presented to demonstrate the predictive ability of the proposed model.

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朱其志,李惟简,尤涛,曹亚军.扩展键基近场动力学的几何非线性扩展[J].同济大学学报(自然科学版),2022,50(4):455~462

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  • 收稿日期:2022-02-27
  • 在线发布日期: 2022-05-06
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