CAJ | 학술논문

基于Gurtin的表面弹性理论，综合考虑板的表面弹性和残余表面应力的影响，建立了微纳米尺度下薄板承受横向分布载荷的力学模型。然后以周边固支的圆板承受横向均布载荷为例，求得了残余表面应力为零、取正值和取负值时的挠曲线。最后对板的位移解进行了分析，阐明了残余表面应力对于其变形的影响。这些计算和分析丰富了传统固体力学的研究范畴，并且为研制微型传感器、微机电系统等提供了一定的参考。
기우Gurtin적표면탄성이론，종합고필판적표면탄성화잔여표면응력적영향，건립료미납미척도하박판승수횡향분포재하적역학모형。연후이주변고지적원판승수횡향균포재하위례，구득료잔여표면응력위령、취정치화취부치시적뇨곡선。최후대판적위이해진행료분석，천명료잔여표면응력대우기변형적영향。저사계산화분석봉부료전통고체역학적연구범주，병차위연제미형전감기、미궤전계통등제공료일정적삼고。
Based upon Gurtin’ s theory of surface elasticity,the surface elasticity and residual surface stress were both considered. As a result,the mechanical model of a thin plate under the action of the transverse dis-tributed load at micro/nanoscale was established. As a typical example,a circular plate under the action of the transverse distributed load was analyzed,and the delfection curves when the redisual surface stress is zero,pos-itive and negative were solved respectively. Finally,these displacement solutions were discussed in detail,and the effect of the residual surface stress on the deformation was addressed. These calculations and analyses have enriched the scople of classical solid mechanics,and provided some references for the design of microsensors and MEMS,etc.