Lead: TM1 – Vladimir Dunić

The team members will prepare the analysis of existing phase-field damage models – theory background, and requirements. The list of references (books, scientific articles in top international journals, theory manuals for FEM software, tutorials, PhD thesis) will be given with respect to relevance. The literature will be organized in pdf in a local repository available to all team members. The detailed overview will cover phase-field damage models (brittle and ductile for metals, cohesive for concrete), which include governing equations, approximation of a sharp crack topology, stored energy functional, and energetic degradation function, finite element discretization, and staggered solvers. The PROMINENT team members will prepare algorithms for metals and concrete constitutive models, finite element discretization and staggered solvers. The planned algorithms will be prepared in the form of separate documents, which will include: 1) linear elastic model for brittle fracture of metals, 2) Von Mises plasticity model with Ramberg-Osgood and Simo yield functions for ductile fracture of metals, 3) phase-field regularized cohesive zone model (PF-CZM) for the concrete modeling, 4) concrete damage model based on plasticity for the comparison purpose, 5) multifield 1D, 2D, and 3D finite elements with the nodal displacements and phase-field variables as unknowns, and 6) alternating minimization (AM) scheme , often called a staggered solver, as a robust and flexible solution. In addition, the “Theory manual for PAK-DAM software tool” will be prepared to help understand the theoretical background of the PAK-DAM software tool. The separate documents prepared in Subactivity 1.1 and Subactivity 1.2 of WP1 will be compiled and cross-referenced, enhanced by figures, schemes, tables, and diagrams to offer detailed information on phase-field damage modeling.