Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774149 | Journal of Differential Equations | 2017 | 37 Pages |
Abstract
When obstacles are present, the model takes the form of a differential inclusion with state constraints. At each time t, a cone of admissible reactions is determined by the minimization of an elastic deformation energy. The main theorem shows that local solutions exist and can be prolonged globally in time, except when a specific “breakdown configuration” is reached. Approximate solutions are constructed by an operator-splitting technique. Some numerical simulations are provided at the end of the paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Alberto Bressan, Michele Palladino, Wen Shen,