CAJ | 학술논문

基于可动边界变分原理对层合梁脱层扩展进行了分析;考虑了脱层间的接触效应,建立了层合梁在横向线载荷作用下的非线性控制微分方程及相应的定解条件;应用Griffith准则导出了脱层前缘各点处的能量释放率表达式;通过算例讨论了脱层长度、脱层深度、几何尺寸、材料性质等因素对脱层扩展的影响.研究表明:脱层越长、越深、横向载荷越大,脱层越容易扩展;梁的长高比L/h及材料的E_(11)/E_(22)越大,脱层越不易发生扩展.
기우가동변계변분원리대층합량탈층확전진행료분석;고필료탈층간적접촉효응,건립료층합량재횡향선재하작용하적비선성공제미분방정급상응적정해조건;응용Griffith준칙도출료탈층전연각점처적능량석방솔표체식;통과산례토론료탈층장도、탈층심도、궤하척촌、재료성질등인소대탈층확전적영향.연구표명:탈층월장、월심、횡향재하월대,탈층월용역확전;량적장고비L/h급재료적E_(11)/E_(22)월대,탈층월불역발생확전.
Delamination growth may occur in layered beams under transverse pressure to induce a structure failure. Considering the variational principle of moving boundary and the contact effect between delamination regions, the nonlinear governing equations for delaminated beams subjected to transverse linear load are derived, and the corresponding boundary and matching conditions are given. According to the Griffith criterion, the formulas of energy release rate along the delamination front are obtained and the delamination growth is investigated. In the numerical calculation, the effects of delamination sizes and depths, the geometrical parameters and the material properties on delamination growth are discussed. It is shown that the tendence possibility of delamination growth develops with the increasing delamination length, depth and the transverse load, and abates with the increasing ratio of L/hand theE_(11)/E_(22) of materials.