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| Numerical method of quasi-static simulations using state-based peridynamics |
| Received:December 08, 2020 Revised:February 05, 2021 |
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| DOI：10.7511/jslx20201208002 |
| KeyWord:state-based peridynamics shell buckling stability dynamic relaxation method convergence criteria |
| Author | Institution |
| 孙璐妍 |
上海飞机设计研究院, 上海 |
| 余音 |
上海交通大学 航空航天学院, 上海 |
| 郑晓玲 |
上海飞机设计研究院, 上海 |
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| Abstract: |
| Peridynamics (PD) is a method describing mechanical behavior by a spatial integral equation,and has a great potential for solving discontinuous problems.A numerical method of quasi-static simulations using state-based PD theory is developed: relation between nodes and structural stiffness matrix is derived;dynamic relaxation method is modified on the basis of what Kilic used in bond-based PD theory and is introduced into state-based PD theory;modified convergence criteria are derived from the combination of absolute and relative criterion.This method is applied to simulating the stability of a thin metallic panel under axial compression,the panel is proposed to discretized into nodes that represents square plate lattices to reduce the calculation scale and improve calculation efficiency.The initial buckling,secondary bifurcation buckling and tertiary snap-through buckling are successfully captured in the simulation,and the result shows a good agreement among empirical formula,test result,etc,in the present research. |
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