A finite-strain model for incomplete damage in elastoplastic materials
| Autor: | Joachim Schöberl, Michael Neunteufel, Ulisse Stefanelli, David Melching |
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| Rok vydání: | 2020 |
| Předmět: |
FOS: Computer and information sciences
Computer science Multiphysics Constitutive equation Computational Mechanics General Physics and Astronomy 010103 numerical & computational mathematics 01 natural sciences Computational Engineering Finance and Science (cs.CE) Mathematics - Analysis of PDEs FOS: Mathematics Mathematics - Numerical Analysis Boundary value problem 0101 mathematics Computer Science - Computational Engineering Finance and Science Flexibility (engineering) Finite element software Mechanical Engineering 74C15 (Primary) 74A45 65N30 35Q74 49J40 (Secondary) Mechanics Numerical Analysis (math.NA) Computer Science Applications 010101 applied mathematics Mechanics of Materials Finite strain theory Dissipative system Quasistatic process Analysis of PDEs (math.AP) |
| DOI: | 10.48550/arxiv.2005.04965 |
| Popis: | We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of {\it generalized standard materials}, the constitutive model results from the balance of conservative and dissipative forces. Material response is rate-independent and associative and damage evolution is unidirectional. We assess the model features and performance on both uniaxial and non-proportional biaxial tests. The constitutive model is then complemented with the quasistatic equilibrium system and initial and boundary conditions. We produce numerical simulations with the help of the powerful multiphysics finite element software NETGEN/NGSolve. We show the flexibility of the implementation and run simulations for various 2D and 3D settings under different choices of boundary conditions and possibly in presence of pre-damaged regions. |
| Databáze: | OpenAIRE |
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