2015/09/29 by Diego Grandi, Grandi, Diego, Ulisse Stefanelli +1
Engineering · Materials Science · Mathematics · Physics and Astronomy · #49J45 #49S05 #74C15 #Analysis of PDEs (math.AP) #Composite Structure Analysis and Optimization #Elasticity and Material Modeling #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlocal and gradient elasticity in micro/nano structures #math-ph #math.AP #math.MP #msc:49J45 #msc:49S05 #msc:74C15
paper · pdf · doi:10.48550/arxiv.1509.08681
47 pages
arxiv created 2015/09/29 · openalex publication_date 2015/09/29 · arxiv updated 2015/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss a finite-plasticity model based on the symmetric tensor PT P instead of the classical plastic strain P. Such a model structure arises from assuming that the material behavior is invariant with respect to frame transformations of the intermediate configuration. The resulting variational model is lower-dimensional, symmetric, and based solely on the reference configuration. We discuss the existence of energetic solutions both at the material-point level and for the quasistatic boundary-value problem. These solutions are constructed as limits of time discretizations. Eventually, the linearization of the model for small deformations is ascertained via a rigorous evolutive-Γ-convergence argument.