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particles.sizeRange = BBRangeMake(6, 6); particles.lifeRange = BBRangeMake(2.5, 0.0); particles.decayRange = BBRangeMake(0.5, 0.1); // start with a nice pure yellow particles.startR = 1.0; particles.startG = 1.0; particles.startB = 0.0; particles.startA = 1.0; // end with a dark red particles.endR = 0.5; particles.endG = 0.0; particles.endB = 0.0; particles.endA = 1.0; particles.animateColor = YES;

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(32.22)

Of course, W is also equal to the applied load LW divided by the actual crosssectional area of the specimen AW. If the preceding tensile specimen were immediately unloaded after reading LW, the cross-sectional area would increase to AW from AW because of the elastic recov ery or springback that occurs when the load is removed. This elastic recovery is insignificant for engineering calculations with regard to the strength or stresses on a part. If the tensile specimen that has been stretched to a cross-sectional area of AW is now reloaded, it will deform elastically until the load LW is approached. As the load is increased above LW, the specimen will again deform plastically. This unloadingreloading cycle is shown graphically in Fig. 32.20. The yield load for this previously cold-worked specimen before the reloading is AW . Therefore, the yield strength of the previously cold-worked (stretched) specimen is approximately (Sy)W = But since AW = AW, then (Sy)W = LW AW LW AW

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And by substituting this last relationship into Eq. (32.22), we get (Sy)W = 0( W)m (32.23)

Thus it is apparent that the plastic portion of the curve is approximately the locus of yield strengths for a material as a function of the amount of cold work. This relationship is valid only for the axial tensile yield strength after tensile deformation or for the axial compressive yield strength after axial deformation.

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And finally, you set the start color to a pure yellow and your end color to a dark red. Don t forget to set animateColor to YES:

32.11.5 Tensile Strength and Cold Work It is believed by materials and mechanical-design engineers that the only relationships between the tensile strength of a cold-worked material and the amount of cold work given it are the experimentally determined tables and graphs that are provided by the material manufacturers and that the results are different for each family of materials. However, on the basis of the concepts of the tensile test presented here, two relations are derived in Ref. [32.1] between tensile strength and percent cold work that are valid when the prior cold work is tensile. These relations are derived on the basis of the load-deformation characteristics of a material as represented in Fig. 32.20. This model is valid for all metals that do not strain age. Here we designate the tensile strength of a cold-worked material as (Su)W, and we are interested in obtaining the relationship to the percent cold work W. For any

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specimen that is given a tensile deformation such that AW is equal to or less than Au, we have, by definition, that (Su)W = And also, by definition, Lu = A0(Su)0 where (Su)0 = tensile strength of the original non-cold-worked specimen and A0 = its original area. The percent cold work associated with the deformation of the specimen from A0 to AW is W= where w = W/100. Thus AW = A0(1 w) By substitution into the first equation, (Su)W = A0(Su)0 (S ) = u0 A0(1 w) 1 w (32.24) A0 AW (100) A0 or w= A0 AW A0 Lu AW

Of course, this expression can also be expressed in the form (Su)W = (Su)0 exp ( ) (32.25)

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// this will make it a rectangular emission volume //particles.sphericalEmissionVolume = NO; particles.emit = YES; [particles setParticle:@"whiteBlur"];

Thus the tensile strength of a material that is prestrained in tension to a strain less than its ultimate load strain is equal to its original tensile strength divided by 1 minus the fraction of cold work. This relationship is valid for deformations less than the deformation associated with the ultimate load, that is, for AW Au or W u

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