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J. Wang a, V. Levkovitch a, F. Reusch a, B. Svendsen a,*,
J. Hue´tink b, M. van Riel b

On the modeling of hardening in metals during non-proportional loading

International Journal of Plasticity 24 (2008) 1039¨C1070

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ÆäÖеĵÚ1042Ò³£¬ÌرðÌáµ½Á˵ÚÈýÖÖ¼ÓÔØÂ·¾¶¶Ô±äÐεÄÓ°Ï죬ʵÑé²ÄÁÏ£ºmild steel DC06£¬Ê×ÏÈÑØ×ÅRD·½ÏòÀ­É죬±äÐÎÁ¿£º10%ºÍ20%£¬È»ºó´¹Ö±ÓÚÔ­±äÐη½Ïò¼ôÇУ¬ÊÔÑé½á¹û·¢ÏÖ£ºÕâÖÖ¼ÓÔØÂ·¾¶Ê¹µÃÇü·þÓ¦Á¦Ìá¸ß£¬½Ð£ºcross-hardening£¬µ«ÊÇÇü·þºóÊ×ÏȳöÏÖÒ»¸öÈí»¯¹ý³Ì£¬È»ºóÓÖÓÐÓ²»¯¹ý³Ì£»
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3. Orthogonal loading: here, monotonic (pre-)loading in a given direction is followed by
monotonic loading in a direction perpendicular to the original direction. For example,
this could be a change from tension to shear loading. Such a change may occur continuously
in the inelastic range of the material, or be affected by release and then reloading
in the orthogonal direction. In either case, the result is a change in strain type in the
material, e.g., from extension to shear. As shown in Fig. 1 (right) for DC06, such loading
results in an increase of the yield stress after the loading-path change, something
known as cross-hardening. This behavior can be explained by the fact that the (oriented
planar) dislocation structures (e.g., walls) which develop during pre-loading in a given
direction act as obstacles to slip on systems activated in the orthogonal direction after
the change of loading direction. Note in Fig. 1 (right) the softening observed at the
beginning of the second stage. This is attributed to deformation localization in theso-called microbands accompanying the breakdown of dislocation structures associated
with latent slip systems. In addition, the experiments also show that this softening
becomes more pronounced as the level of pre-strain increases. After softening, further
hardening takes place due to the formation of new dislocation structures.


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Originally posted by cqustone at 2010-10-24 23:05:36:



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J. Wang a, V. Levkovitch a, F. Reusch a, B. Svendsen a,*,
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