计算力学学报2025，Vol.42Issue(6)：913-919,7.DOI:10.7511/jslx20240902001
基于近场动力学的单晶冰弹性各向异性表征模型研究
Investigation on the characterization model of elastic anisotropy of single crystal ice based on peridynamics
摘要
Abstract
To accurately describe the elastic anisotropic behavior of single crystals of ice,in this paper,based on peridynamics(PD),the non-spherical influence function was adopted to establish the three-dimensional(3D)elastic anisotropy characterization method for single-crystal ice.Firstly,the mapping relationship between the orientation of a single-crystal in space and Young's modulus was established through the transformation relationship between the global coordinate system and the local coordinate system.Subsequently,the auxiliary coefficients were introduced into the mapping relationship,which was treated as a non-spherical influence function and incorporated into the PD control equation to establish a numerical model for uniaxial deformation of single-crystal ice in PD control.Finally,the Young's modulus of a specific oriented single crystal model was obtained through the stress-strain relationship,and the auxiliary coefficient was iteratively calibrated by comparing it with the theoretical value.After calibrating the auxiliary coefficients,it was found that the maximum error of the Young's modulus represented by the 3D single-crystal ice numerical model at each angle did not exceed 5％,and the characterization error of the two-dimensional(2D)model did not exceed 3％.All other errors were minimal,confirming that this method can be applied to characterize the elastic anisotropy of single-crystal ice in space.Subsequently,the influence of surface correction methods and discretization formats on the characterization of auxiliary coefficients and elastic anisotropy was analyzed by simplifying the model into 2D columnar ice.关键词
弹性各向异性/单晶冰/近场动力学/非球形影响函数/辅助系数Key words
elastic anisotropy/single crystal ice/Peridynamics/non-spherical influence function/auxiliary coefficients分类
数理科学引用本文复制引用
LI Jiabao,WANG Qing,LING Zhengcheng,WANG Yongkui,JING Chongyang,YANG Xuesong..基于近场动力学的单晶冰弹性各向异性表征模型研究[J].计算力学学报,2025,42(6):913-919,7.基金项目
国家自然科学基金(52471279)资助项目. （52471279）
