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| High-precision peridynamics: one dimensional bond-based model |
| Received:April 17, 2020 Revised:July 16, 2020 |
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| DOI：10.7511/jslx20200417001 |
| KeyWord:peridynamics micro-modulus surface effect computational accuracy numerical methods |
| Author | Institution |
| 吴凡 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 段庆林 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| Peridynamics (PD) developed in recent years possesses remarkable superiorities in modelling complicated fracture problems.However,its computational accuracy is unsatisfactory.This is one of the bottleneck issues which limit the further development of this theory.The inaccurate domain integration and surface effect induced by the lack of bonds are the two main reasons which lead to low accuracy.Aiming at one-dimensional bond-based PD model,this paper presents a high-precision PD (hp-PD) method in which the accuracy of domain integration is improved by correcting the micro-modulus and the surface effect is improved by rationally establishing the virtual boundary bonds of fixed and traction boundaries.Numerical results show that,in comparison with the traditional PD method,the proposed method remarkably improves the computational accuracy and for quasi-static constant strain problems the accuracy even reaches the machine precision. |