کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
497873 | 862947 | 2014 | 41 صفحه PDF | دانلود رایگان |
A continuation problem for finding successive solutions of discretised abstract first-order evolution problems is proposed and a general piecewise C1C1 continuation problem is studied. A condition ensuring local existence and uniqueness of its solution curves is given. An analogy of the first-order system of smooth problems is derived and results of existence and uniqueness of its solutions are stated. Possibility of continuation of a solution curve along directions solving the first-order system is discussed. A technique for numerical continuation of the solution curves is developed. Furthermore, an application of the abstract continuation problem is presented for plane quasi-static contact problems with friction. Various formulations of the first-order system are derived for this case so that the analysis from the abstract frame can be developed and supplemented. Finally, the proposed numerical continuation is tested on model examples.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 280, 1 October 2014, Pages 222–262