کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1705915 | 1012444 | 2010 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Mathematical modelling of plastic deformation instabilities with two delays Mathematical modelling of plastic deformation instabilities with two delays](/preview/png/1705915.png)
In this paper we present a new model describing the temporal evolution for multi-instabilities of plastic deformation of stressed monocrystal. This model generalizes that with a single delay presented in [12] and [13]. The plastic instability is due to the increase in dislocation density and the mutual interaction between dislocations, and can be explained by a phase shift, characterized by a time delay between the nucleation and the propagation of dislocations. Here, we consider the general case when several deformation-mechanisms are active, leading to several delays. Using a linear analysis, we deduce a differential equation with two delays. We present some results on existence and stability of the solution according to the characteristics of material and the two delays. Numerical examples for stability and instability of material close to a mean stress using the MATLAB software are also investigated.
Journal: Applied Mathematical Modelling - Volume 34, Issue 9, September 2010, Pages 2484–2492