固体力学学报
固體力學學報
고체역학학보
ACTA MECHANICA SOLIDA SINICA
2009年
5期
450-458
,共9页
电磁弹性材料%双周期分布%界面层%应力集中%有效性质
電磁彈性材料%雙週期分佈%界麵層%應力集中%有效性質
전자탄성재료%쌍주기분포%계면층%응력집중%유효성질
electro-magneto-elastic composites%doubly periodic parallelogrammic array%interphase%stress concentration%effective properties
研究带界面层的双周期排列电磁弹性纤维复合材料在远场反平面机械载荷和面内电磁载荷作用下的电-磁-弹性响应,结合本征广义应变(本征应变、本征电场、本征磁场)的概念和双准周期Rimann边值问题理论为其发展了一个严格的解析分析方法.解答可用于对胞元内电磁弹性场量进行精细分析,也可对复合材料有效电磁弹性模量做出准确预测.以纯弹性环氧树脂涂层为例,分析了涂层对应力集中系数和有效电磁弹性模量的影响.本文结果可作为一个"基准",用以评价有限元等数值与近似方法的精度.
研究帶界麵層的雙週期排列電磁彈性纖維複閤材料在遠場反平麵機械載荷和麵內電磁載荷作用下的電-磁-彈性響應,結閤本徵廣義應變(本徵應變、本徵電場、本徵磁場)的概唸和雙準週期Rimann邊值問題理論為其髮展瞭一箇嚴格的解析分析方法.解答可用于對胞元內電磁彈性場量進行精細分析,也可對複閤材料有效電磁彈性模量做齣準確預測.以純彈性環氧樹脂塗層為例,分析瞭塗層對應力集中繫數和有效電磁彈性模量的影響.本文結果可作為一箇"基準",用以評價有限元等數值與近似方法的精度.
연구대계면층적쌍주기배렬전자탄성섬유복합재료재원장반평면궤계재하화면내전자재하작용하적전-자-탄성향응,결합본정엄의응변(본정응변、본정전장、본정자장)적개념화쌍준주기Rimann변치문제이론위기발전료일개엄격적해석분석방법.해답가용우대포원내전자탄성장량진행정세분석,야가대복합재료유효전자탄성모량주출준학예측.이순탄성배양수지도층위례,분석료도층대응력집중계수화유효전자탄성모량적영향.본문결과가작위일개"기준",용이평개유한원등수치여근사방법적정도.
The electro-magneto-elastic composites containing a doubly periodic parallelogrammic array of fibers with interphase are dealt with under antiplane shear load coupled with inplane electromagnetic load,a rigorous analytical method is developed by using the generalized eigenstrain (eigenstrain,eigen-elec-tric-field and eigen-magnetic-field) concepts integrated with the doubly quasiperiodic Riemann boundary value problem theory. The present solution can be used to analyze electro-magneto-elastic fields in unit cell and predict the macroscopic electro-magneto-elastic effective moduli of composites exactly. Illustrative examples show the effects of epoxy coating on the stress concentration factor and electro-magneto-elastic effective moduli. The present method can provide benchmark results for other numerical and approximate methods.
