Damage model for plastic materials at finite strains. Issue 9 (3rd July 2019)

• Record Type: Journal Article
• Authors: Melching, David; Scala, Riccardo; Zeman, Jan
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 99:Issue 9(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-07-03
• Subjects: damage -- energetic solution -- finite plasticity -- nonlinear -- quasistatic evolution -- 74A45 -- 74C15 -- 49J40 -- 49J45; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201800032
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract: We introduce a model for elastoplasticity at finite strains coupled with damage. The internal energy of the deformed elastoplastic body depends on the deformation, the plastic strain, and the unidirectional isotropic damage. The main novelty is a dissipation distance allowing the description of coupled dissipative behavior of damage and plastic strain. Moving from time‐discretization, we prove the existence of energetic solutions to the quasistatic evolution problem. Abstract : We introduce a model for elastoplasticity at finite strains coupled with damage. The internal energy of the deformed elastoplastic body depends on the deformation, the plastic strain, and the unidirectional isotropic damage. The main novelty is a dissipation distance allowing the description of coupled dissipative behavior of damage and plastic strain. Moving from time‐discretization, we prove the existence of energetic solutions to the quasistatic evolution problem.