湖南工程学院学报:自然科学版
湖南工程學院學報:自然科學版
호남공정학원학보:자연과학판
Journal of Hunan Institute of Engineering(Natural Science Edition)
2012年
1期
45-49
,共5页
准晶材料%螺型位错%圆形夹杂
準晶材料%螺型位錯%圓形夾雜
준정재료%라형위착%원형협잡
quasicrystals%dislocation%circular-inhomogeneity
研究了一维六方准晶材料中螺型位错与圆形夹杂的干涉效应。利用复变函数方法,得到了由复势函数表示的边界条件以及应力场和位错力的解析表达式。并详细讨论了位错位置和材料差异对位错力及平衡位置的影响。结果表明,当两种准晶材料常数满足一定条件时,夹杂附近存在一个位错平衡位置。另外,位错力受到夹杂相位子场弹性常数和声子场一相位子场耦合弹性常数的强烈影响,相位子场弹性常数和声子场一相位子场耦合弹性常数均存在可以改变位错力方向的临界值。解答的特殊情况与已有文献一致。
研究瞭一維六方準晶材料中螺型位錯與圓形夾雜的榦涉效應。利用複變函數方法,得到瞭由複勢函數錶示的邊界條件以及應力場和位錯力的解析錶達式。併詳細討論瞭位錯位置和材料差異對位錯力及平衡位置的影響。結果錶明,噹兩種準晶材料常數滿足一定條件時,夾雜附近存在一箇位錯平衡位置。另外,位錯力受到夾雜相位子場彈性常數和聲子場一相位子場耦閤彈性常數的彊烈影響,相位子場彈性常數和聲子場一相位子場耦閤彈性常數均存在可以改變位錯力方嚮的臨界值。解答的特殊情況與已有文獻一緻。
연구료일유륙방준정재료중라형위착여원형협잡적간섭효응。이용복변함수방법,득도료유복세함수표시적변계조건이급응력장화위착력적해석표체식。병상세토론료위착위치화재료차이대위착력급평형위치적영향。결과표명,당량충준정재료상수만족일정조건시,협잡부근존재일개위착평형위치。령외,위착력수도협잡상위자장탄성상수화성자장일상위자장우합탄성상수적강렬영향,상위자장탄성상수화성자장일상위자장우합탄성상수균존재가이개변위착력방향적림계치。해답적특수정황여이유문헌일치。
The interaction between a dislocation and circular inhomogeneity in 1D hexagonal quasicrystals is investigated. By using the complex variable method, the boundary conditions are rewritten and the ex- plicit solutions of complex potentials are obtained. The image force acting on the dislocation is (also) de- rived. The influence of the location of the dislocation and the material elastic dissimilarity upon the equilib- rium position of the dislocation are discussed in detail. The results show that an equilibrium point of the dislocation near the quasicrystal inclusion is found for certain combinations of materials constants. Moreo- ver, the force on the dislocation is strongly affected by the phonon-phason coupling elastic constant and the phason field elastic constant of the quasicrystal inclusion. An appropriate critical value of the phonon-pha- son coupling elastic constant and the phason field elastic constant may be found to change the direction of the force on the dislocation. The present solutions contain previous results as the special cases.