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1、 英文原文Categories of stamping formingMany deformation processes can be done by stamping, the basic processes of the stampingcan be divided into two kinds: cutting and forming.Cutting is a shearing process that one part of the blank is cut form the other .It mainlyincludes blanking, punching, trimming,

2、 parting and shaving, where punching and blanking are themost widely used. Forming is a process that one part of the blank has some displacement form theother. It mainly includes deep drawing, bending, local forming, bulging, flanging, necking, sizingand spinning.In substance, stamping forming is su

3、ch that the plastic deformation occurs in the deformationzone of the stamping blank caused by the external force. The stress state and deformationcharacteristic of the deformation zone are the basic factors to decide the properties of the stampingforming. Based on the stress state and deformation ch

4、aracteristics of the deformation zone, theforming methods can be divided into several categories with the same forming properties and to bestudied systematically.The deformation zone in almost all types of stamping forming is in the plane stress state.Usually there is no force or only small force ap

5、plied on the blank surface. When it is assumed thatthe stress perpendicular to the blank surface equal to zero, two principal stresses perpendicular toeach other and act on the blank surface produce the plastic deformation of the material. Due to thesmall thickness of the blank, it is assumed approx

6、imately that the two principal stresses distributeuniformly along the thickness direction. Based on this analysis, the stress state and thedeformation characteristics of the deformation zone in all kind of stamping forming can bedenoted by the point in the coordinates of the plane principal stress(d

7、iagram of the stamping stress)and the coordinates of the corresponding plane principal stains (diagram of the stamping strain).The different points in the figures of the stamping stress and strain possess different stress stateand deformation characteristics.(1)When the deformation zone of the stamp

8、ing blank is subjected toplanetensile stresses, itcan be divided into two cases, that is 0, =0and 0, =0.In both cases, the stress withttthe maximum absolute value is always a tensile stress. These two cases are analyzed respectivelyas follows.2)In the case that 0and =0, according to the integral the

9、ory, the relationships betweentstresses and strains are: /( - )= /( - )= /( - )=k1.1where, , , are the principal strains of the radial, tangential and thickness directions of themmttmtaxial symmetrical stamping forming; , and are the principal stresses of the radial, tangentialtand thickness directi

10、ons of the axial symmetrical stamping forming; is the average stress, =mm ( + + )/3; k is a constant.tIn plane stress state, Equation 1.13 /(2 - )=3 /(2 - )=3 /-( + )=k 1.2tttSince 0,so 2 - 0 and 0.It indicates that in plane stress state with two axialtensile stresses, if the tensile stress with the

11、 maximum absolute value is , the principal strain inthis direction must be positive, that is, the deformation belongs to tensile forming.In addition, because 0,therefore -( + )0 and 2 , 0;and when 0.The range of is = =0 . In the equibiaxial tensile stress state = ,according toEquation 1.2, = 0 and 0

12、 and =0, according to Equation 1.2 , 2 0 and 0,This result showstthat for the plane stress state with two tensile stresses, when the absoluste value of is the strainin this direction must be positive, that is, it must be in the state of tensile forming.Also because 0,therefore (- + )0 and , 0;and wh

13、en 0.The range of is = =0 .When = , = 0, that is, in equibiaxial tensile stress state,the tensile deformation with the same values occurs in the two tensile stress directions; when =0, =- /2, that is, in uniaxial tensile stress state, the deformation characteristic in this case is thesame as that of

14、 the ordinary uniaxial tensile.This kind of deformation is in the region AON of the diagram of the stamping strain (seeFig.1.1), and in the region GOH of the diagram of the stamping stress (see Fig.1.2).Between above two cases of stamping deformation, the properties of and , and thedeformation cause

15、d by them are the same, only the direction of the maximum stress is different.These two deformations are same for isotropic homogeneous material.(1)When the deformation zone of stamping blank is subjected to two compressivestresses and ( =0), it can also be divided into two cases, which are 0, =0 an

16、d tt0, =0.t1)When 0 and =0, according to Equation 1.2, 2 - 0 与 =0.This result showstthat in the plane stress state with two compressive stresses, if the stress with the maximumabsolute value is 0, the strain in this direction must be negative, that is, in the state of compressive forming.Also becaus

17、e 0 and 0.The strain in the thickness direction of thettblank is positive, and the thickness increases.tThe deformation condition in the tangential direction depends on the values of and .When =2 , =0;when 2 , 0;and when 0.The range of is 0.When = ,it is in equibiaxial tensile stress state, hence =

18、0;when =0,it is in uniaxial tensile stress state, hence =- /2.This kind of deformation condition isin the region EOG of the diagram of the stamping strain (see Fig.1.1), and in the region COD ofthe diagram of the stamping stress (see Fig.1.2).2)When 0and =0, according to Equation 1.2,2 - 0 and 0. Th

19、is result showstthat in the plane stress state with two compressive stresses, if the stress with the maximumabsolute value is , the strain in this direction must be negative, that is, in the state ofcompressive forming.Also because 0 and 0.The strain in the thickness direction ofttthe blank is posit

20、ive, and the thickness increases.tThe deformation condition in the radial direction depends on the values ofand . When =2 , =0; when 2 , 0; and when 0.The range of is = =0 . When = , it is in equibiaxial tensile stress state, hence = 0.This kind ofdeformation is in the region GOL of the diagram of t

21、he stamping strain (see Fig.1.1), and in theregion DOE of the diagram of the stamping stress (see Fig.1.2).(3) The deformation zone of the stamping blank is subjected to two stresses with oppositesigns, and the absolute value of the tensile stress is larger than that of the compressive stress.There

22、exist two cases to be analyzed as follow:1)When 0, | |, according to Equation 1.2, 2 - 0 and 0.This resultshows that in the plane stress state with opposite signs, if the stress with the maximum absolutevalue is tensile, the strain in the maximum stress direction is positive, that is, in the state o

23、f tensileforming.Also because 0, | |, therefore = =- . When =- , then 0, 0, 0, | |, according to Equation 1.2, bytmeans of the same analysis mentioned above, 0, that is, the deformation zone is in the planestress state with opposite signs. If the stress with the maximum absolut e value is tensile st

24、ress ,the strain in this direction is positive, that is, in the state of tensile forming. The strain in the radial direction is negative ( = =- . When =- , then 0, 0, 0, | |, according to Equation 1.2, 2 - 0 and 0 and 0, therefore 2 - 0. The strain in the tensile stressdirection is positive, or in t

25、he state of tensile forming.The range of is 0= =- .When =- , then 0, 0, 0, | |, according to Equation 1.2 and by means of the sameanalysis mentioned above, = =- .When =- , then 0, 0, 0, and =- /2. Such deformation is in the region DOF of the diagram of the stampingstrain (see Fig.1.1), and in the re

26、gion BOC of the diagram of the stamping stress (see Fig.1.2).The four deformation conditions are related to the corresponding stamping forming methods.Their relationships are labeled with letters in Fig.1.1 and Fig.1.2.The four deformation conditions analyzed above are applicable to all kinds of pla

27、ne stressstates, that is, the four deformation conditions can sum up all kinds of stamping forming in to twotypes, tensile and compressive. When the stress with the maximum absolute value in thedeformation zone of the stamping blank is tensile, the deformation along this stress direction mustbe tens

28、ile. Such stamping deformation is called tensile forming. Based on above analysis, thetensile forming occupies five regions MON, AON, AOB, BOC and COD in the diagram of thestamping stain; and four regions FOG, GOH, AOH and AOB in the diagram of the stamping stress.When the stress with the maximum ab

29、solute value in the deformation zone of the stampingblank is compressive, the deformation along this stress direction must be compressive. Such stamping deformation is called compressive forming. Based on above analysis, the compressiveforming occupies five regions LOM, HOL, GOH, FOG and DOF in the

30、diagram of the stampingstrain; and four regions EOF, DOE, COD and BOC in the diagram of the stamping stress.MD and FB are the boundaries of the two types of forming in the diagrams of the stampingstrain and stress respectively. The tensile forming is located in the top right of the boundary, andthe

31、compressive forming is located in the bottom left of the boundary.Because the stress produced by the plastic deformation of the material is related to the straincaused by the stress, there also exist certain relationships between the diagrams of the stampingstress and strain. There are corresponding

32、 locations in the diagrams of the stamping stress andstrain for every stamping deformation. According to the state of stress or strain in the deformationzone of the forming blank, and using the boundary line in the diagram of the stamping stress MDor the boundary line in the diagram of the stamping

33、strain FB, it is easy to know the properties andcharacteristics of the stamping forming.The locations in the diagrams of the stamping stress and strain for various stress states andthe corresponding relationships of the two diagrams are listed in Table 1.1.It shows that thegeometrical location for e

34、very region are different in the diagrams of the stamping stress and strain,but their sequences in the two diagrams are the same. One key point is that the boundary linebetween the tensile and the compressive forming is an inclined line at 45 to the coordinate axis.The characteristics of the stampin

35、g technique for tensile and compressive forming are listed inTable 1.2.Table 1.2 clearly shows that in the deformation zone of the blank, the characteristics of theforce and deformation, and the patterns relevant to the deformation for each stamping method arethe same. Therefore, in addition to the

36、research on the detail stamping method, it is feasible tostudy stamping systematically and comprehensively. The characteristic of the systematic researchis to study the common principle of all different types of stamping methods. The results of thesystematic research are applicable to all stamping m

37、ethods. The research on the properties andlimit of the sheet metal stamping has been carried out in certain extent. The contents of theresearch on the stamping forming limit by using systematic method are shown in Fig.1.3.State of stressLocation in Location inthe diagram the diagramTypesofthedeforma

38、tionstampingstrain BiaxialTensileTensiletensile stressstateBiaxialCompressivcompressivestress state 0, 0 =0和 t 0, =0。再这两种情况下,绝对值最大的应力都是拉应力。以下对这两种情况进行t分析。1)当 0 且 =0 时,安全量理论可以写出如下应力与应变的关系式:t(1-1) /( - )= /( - )= /( - )=kmmtmt式中 , , 分别是轴对称冲压成形时的径向主应变、切向主应变和厚度方向上t的主应变; , , 分别是轴对称冲压成形时的径向主应力、切向主应力和厚度方向上的

39、主t应力; 平均应力, =( + + )/3;mmtk常数。在平面应力状态,式(11)具有如下形式:3 /(2 - )=3 /(2 - )=3 /-( + )=k (12)ttt因为 0,所以必定有 2 - 0 与 0。这个结果表明:在两向拉应力的平面应力状态时,如果绝对值最大拉应力是 ,则在这个方向上的主应变一定是正应变,即是伸长变形。又因为 0,所以必定有-( + )0 与 2 时, 0;当 0。 的变化范围是 = =0 。在双向等拉力状态时, = ,有式(12)得 = 0 及 0 且 =0 时,有式(12)可知:因为 0,所以t(2)定有 2 0 与 0。这个结果表明:对于两向拉应力的平

40、面应力状态,当的绝对值最大时,则在这个方向上的应变一定时正的,即一定是伸长变形。又因为 0,所以必定有-( + )0 与 , 0;当 0。 的变化范围是 = =0 。当 = 时, = 0,也就是在双向等拉力状态下,在两个拉应力方向上产生数值相同的伸长变形;在受单向拉应力状态时,当=0 时, =-/2,也就是说,在受单向拉应力状态下其变形性质与一般的简单拉伸是完全一样的。这种变形与受力情况,处于冲压应变图中的 AOC 范围内(见图 11);而在冲压应力图中则处于 AOH 范围内(见图 12)。上述两种冲压情况,仅在最大应力的方向上不同,而两个应力的性质以及它们引起的变形都是一样的。因此,对于各向同性的均质材料,这两种变形是完全相同的。(1)冲压毛坯变形区受两向压应力的作用,这种变形也分两种情况分析,即 =0 和 0, =0。tt1)当 0 且 =0 时,有式(12)可知:因为 0,一定有 2 - 0t与 0。这个结果表明:在两向压应力的平面应力状态时,如果绝对

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