郭帅,焦学健,李丽君,冷杨松,孙丰山,单海瑞.基于近场动力学理论的单层板损伤分析方法[J].计算力学学报,2019,36(3):352~357 |
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基于近场动力学理论的单层板损伤分析方法 |
Damage analysis method of lamina based on peridynamic theory |
投稿时间:2018-01-04 修订日期:2018-03-04 |
DOI:10.7511/jslx20180104001 |
中文关键词: 近场动力学理论 复合材料 载荷 裂纹扩展模式 本构方程 |
英文关键词:peridynamic composite load propagation mode of crack the constitutive equation |
基金项目:国家自然科学基金(51505261);山东省自然科学基金(ZR2015AM013)资助项目. |
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中文摘要: |
基于键基近场动力学理论(PD)构建复合材料的单层板模型,在本构方程中引入连续变化的键刚度,以表示复合材料中与纤维夹角相关的力学性能的变化。推导了与复合材料主方向热膨胀系数相关的任意方向的热膨胀系数,为热载荷的施加提供理论支持,将热载荷和力学载荷统一于本构方程中。最后,对预先存在裂纹的单层板进行裂纹扩展模式的仿真,得到预期的仿真结果,并与已有实验结果对比验证模型的有效性。 |
英文摘要: |
Based on the theory of bond-based peridynamics (PD),the lamina model of a composite material was constructed,and a continuously changing bond stiffness is introduced into the constitutive equation of the model to represent the change of its mechanical properties.The thermal expansion coefficient related to the main direction of the composite material was derived,which provides a theoretical support for the inclusion of a thermal load.The thermal and mechanical loads are unified in the constitutive equation.Finally,through the simulation of a crack growth mode of the lamina with a pre-existing crack,numerical results are obtained,and compared with the existing experimental results to verify the validate of the model. |
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