2015/04/22 by Simona Dinu, Dinu, Simona, Andreea Bejenaru +1
Computer Science · Engineering · #49J20 #70H06 #70H30 #70Q05 #Advanced Numerical Methods in Computational Mathematics #Contact Mechanics and Variational Inequalities #Elasticity and Material Modeling #FOS: Mathematics #Optimization and Control (math.OC)
paper · pdf · doi:10.48550/arxiv.1504.05654
openalex publication_date 2015/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper joins some concepts from Mechanics, Partial Differential Equations and Control Theory in order to solve bi-time optimization problems related to stress tensor in plastic deformations. The main goal is to analyze some optimal control problems constrained by the equilibrium equations of the stress tensor in perfect plastic plane medium. As consequence of this approach, a natural split of the constraints arises, leading to integrability conditions and changes a classical variational problem into an optimal control one. The final outcomes confirm all the expectations related to the physical features of plastic deformations phenomenon.