Consideration of strength differential effect in sheet metals with symmetric yield functions

2013 ◽  
Vol 66 ◽  
pp. 214-223 ◽  
Author(s):  
Yanshan Lou ◽  
Hoon Huh ◽  
Jeong Whan Yoon
2016 ◽  
Vol 23 (2) ◽  
pp. 159-180
Author(s):  
Farzad Moayyedian ◽  
Mehran Kadkhodayan

The objective of the current research is the investigation into possible non-linear influence of hydrostatic pressure on yielding of asymmetric (exhibiting the so-called “strength-differential effect”) anisotropic sheet metals. To reach this aim, two yield functions are developed, called here “non-linear pressure sensitive criteria I and II,” (NPC-1 and NPC-2). In addition, the non-associated flow rules are employed for these new criteria. The yield functions are defined as non-linearly dependent on hydrostatic pressure, while the plastic potential functions are introduced to be pressure insensitive. To calibrate these criteria, the yield functions need 10 directional experimental yield stresses and the plastic potential functions need eight Lankford coefficients data points. Four well-known anisotropic sheet metals with different structures, namely AA 2008-T4, a Face Centered Cubic material (FCC), AA 2090-T3, a Face Centered Cubic material (FCC), AZ31, a hexagonal closed packed material (HCP) and high-purity [Formula: see text]-titanium (HCP) are considered as case studies. Finally, it is observed that NPC-1 and NPC-2 are more successful than previous criteria in anticipating directional strength and mechanical properties.


2017 ◽  
Vol 99 ◽  
pp. 144-161 ◽  
Author(s):  
Jens Kristian Holmen ◽  
Bjørn Håkon Frodal ◽  
Odd Sture Hopperstad ◽  
Tore Børvik

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