CAJ | 학술논문

考虑物质点的偶极效应，基于 Cosserat 连续体介质力学模型，把球形微颗粒推广到方形微颗粒，推导出方形微颗粒对应的偶应力和曲率应变之间的线弹性关系，并提出了一种能考虑微颗粒倾覆破坏的广义屈服准则。编写了基于 Cosserat 连续体介质力学模型的有限元分析程序，进行了混凝土试样单轴压缩试验和土体边坡稳定性分析的数值模拟。研究结果表明，物质点的偶极效应确实存在，且是材料发生应变局部化的直接原因。
고필물질점적우겁효응，기우 Cosserat 련속체개질역학모형，파구형미과립추엄도방형미과립，추도출방형미과립대응적우응력화곡솔응변지간적선탄성관계，병제출료일충능고필미과립경복파배적엄의굴복준칙。편사료기우 Cosserat 련속체개질역학모형적유한원분석정서，진행료혼응토시양단축압축시험화토체변파은정성분석적수치모의。연구결과표명，물질점적우겁효응학실존재，차시재료발생응변국부화적직접원인。
Within the framework of the Cosserat continuum medium mechanics model, the spherical micro particle is extended and transformed into a square micro particle with consideration of the dipole effect of material points. Based on the Cosserat continuum medium mechanics model, a linear elastic relationship between the couple stress and the curvature strain for the square micro particle is derived, and a generalized yield criterion that can consider the overturning failure of micro particles is put forward. With the finite element analysis program based on the Cosserat continuum medium mechanics model, a numerical simulation was performed in order to analyze the concrete specimens under uniaxial compression and the soil slope stability. The results show that the dipole effect of material points indeed exists, and it is a direct cause of strain localization of materials.