抛物线模拔速度场的曲线积分问题

文章采用ｖｏｎＫａｒｍａｎ基本假设对模面函数为抛物线（又称喇叭模）的拔制问题设定了运动许可速度场，并经曲线积分与变上限积分得到拔制力的上界解析解。     

抛光垫特性及其对300mm晶圆铜化学机械抛光效果的影响研究

利用扫描电子显微镜和接触式表面形貌仪分析了IC1000/Suba-IV和IC1010两种商用抛光垫的主要特性,并通过自行研制的超低压力化学机械抛光(CMP)试验机、四探针测试仪和三维白光干涉仪等研究了这两种抛光垫对300 mm晶圆铜互连的CMP材料去除率、片内非均匀性、碟形凹陷和腐蚀的影响规律.结果表明:IC1010比IC1000的硬度低、压缩率高、粗糙度大,IC1000为网格状沟槽、沟槽较宽、分布较稀,IC1010为同心圆沟槽、沟槽较细、分布较密;相同条件下IC1010比IC1000的材料去除率大、片内非均匀性好;在相同线宽下IC1000与IC1010的腐蚀几乎一致,IC1010的碟形凹陷比IC1000的略大.     

The problem of parametric integration to the slip line field in the compression of thick workpiece

An integration depending on a parameter to the compression of a thick workpiece has been obtained.For the conventional prevailing numerical formulaa definite functional relationship betweenφand y is found.Therefore a parametric integration can be used to get an analytical solution.Take the slip line field for1/h=0.121 as an example,the analytical solution is basically the same as the prevailing numerical one.It is justified theoretically that for the slip line field a parametric integration is perfectly possible for a satisfactory analytical solution.     

The curvilinear integral problems to velocity field for drawing through parabolic dies

ＴＨＥＣＵＲＶＩＬＩＮＥＡＲＩＮＴＥＧＲＡＬＰＲＯＢＬＥＭＳＴＯＶＥＬＯＣＩＴＹＦＩＥＬＤＦＯＲＤＲＡＷＩＮＧＴＨＲＯＵＧＨＰＡＲＡＢＯＬＩＣＤＩＥＳＺｈａｏＤｅ－ｗｅｎ（赵德文）ＬｉｕＸｉａｎｇ－ｈｕａ（刘相华）ｗａｎｇＧｕｏ－ｄｏｎｇ（王国栋）（...     

The integral as a function of the upper limit and depending on a parameter to solve drawing through idling rolls

The velocity and strain-rate fields which are different from Avitzur’s have been established in Cartesian coordinates. Using the integral as a function of the upper limit and integration depending on a parameter, an analytical upper-bound solution to drawing stress through idling rolls has been obtained in this paper.     

Solution for plane strain forward and backward extrusions with a fractional reductionR=0.5 by the integartion depending on a parameter

A parameter t is introduced to boundary slip line of rigid regions for plane strain and indirect extrusions with a fractional reduction R=0.5. Integration by substitution has been used along the boundary slip line in order to obtain the extrusion pressure. By the integration depending on a parameter, the following results are obtained, and die pressure is 5.14k for backward extrusion; and pad average pressure is 2.57k for forward extrusion. All the results from this method are the same as those of the conventional solution.     

厚板热轧中心气孔缺陷压合临界力学条件的证明与应用

利用上界三角形速度场推导了热轧条件下厚板中心气孔缺陷压合时内部缺陷开裂的判定条件。证明了动态临界几何条件当l／h≥0．518时坯料为压合轧制；当给定轧件入口厚度时，增加道次压下率ε、轧辊半径R、单位宽度轧制力P，将有利于厚板缺陷压合；升温和咬入时加后推力也有利于缺陷压合。此外，还提供实例首次对厚板压下规程的压合条件进行了分析计算，算例表明：特厚板轧制设计道次压下率时，应尽量使道次变形区不存在拉应力区、满足压合条件并避免表面变形，方能使中心区域有效压合，起到提高探伤合格率及改善内部质量的明显效果。本文提出了制定厚板轧制规程需考虑缺陷压合条件的新思路。     

圆模拉拔挤压速度场的一种不同解法

文中对模面为圆的平面变形挤压拉拔设定了直角坐标系运动许可速度场,对此速度场采用曲线积分与变上限积分得到拉拔.挤压应力的上界解析解.     

抛物线模拉拔方棒的上界解析解

本文对采用抛物线模面函数的模具拉拔方形棒、线材设定了三维运动许可速度场；以曲面积分与变上限积分方法得到该场上界解析解．与一维功率微分方程解法的结果进行了比较     

平面变形正向挤压、反向挤压的参变量积分解法(减缩率R=0.5)

对断面收缩率为R=0.5的平面变形正向、反向挤压滑移线场之刚性区边界滑移线引进参变量t进行换元积分,求得垫片或凹模上的挤压力.对反向挤压,应力影响系数p/2k=1.29,凸模压力为5.14k;对正向挤压,垫片平均压力为p=2.57k,p/2k=1.29.参量积分求得的上述结果与目前惯用解法之结果完全相同.