کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
786553 | 1465674 | 2009 | 24 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Exact integration of the von Mises elastoplasticity model with combined linear isotropic-kinematic hardening Exact integration of the von Mises elastoplasticity model with combined linear isotropic-kinematic hardening](/preview/png/786553.png)
The main purpose of this work is to present two semi-analytical solutions for the von Mises elastoplasticity model governed by combined linear isotropic-kinematic hardening. The first solution (SOLε) corresponds to strain-driven problems with constant strain rate assumption, whereas the second one (SOLσ) is proposed for stress-driven problems using constant stress rate assumption. The formulas are derived within the small strain theory Besides the new analytical solutions, a new discretized integration scheme (AMε) based on the time-continuous SOLε is also presented and the corresponding algorithmically consistent tangent tensor is provided. A main advantage of the discretized stress updating algorithm is its accuracy; it renders the exact solution if constant strain rate is assumed during the strain increment, which is a commonly adopted assumption in the standard finite element calculations. The improved accuracy of the new method (AMε) compared with the well-known radial return method (RRM) is demonstrated by evaluating two simple examples characterized by generic nonlinear strain paths.
Journal: International Journal of Plasticity - Volume 25, Issue 6, June 2009, Pages 1083–1106