activity
20202023
most citedAn extended Hamilton principle as unifying theory for coupled problems and dissipative microstructure evolution

40 citations · 49 across the 9 of their papers we have counts for

collaborators

9 papers

math.NA2023

A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods

Daniel Balzani, Alexander Heinlein, Axel Klawonn +5

A computational framework is presented to numerically simulate the effects of antihypertensive drugs, in particular calcium channel blockers, on the mechanical response of arterial…

cs.CE2022

A Simple and Efficient Lagrange Multiplier Based Mixed Finite Element for Gradient Damage

Johannes Riesselmann, Daniel Balzani

A novel finite element formulation for gradient-regularized damage models is presented which allows for the robust, efficient, and mesh-independent simulation of damage phenomena i…

cs.CE2022

Multidimensional rank-one convexification of incremental damage models at finite strains

Daniel Balzani, Maximilian Köhler, Timo Neumeier +2

This paper presents computationally feasible rank-one relaxation algorithms for the efficient simulation of a time-incremental damage model with nonconvex incremental stress potent…

cs.CE2022★ 8 cited

Evolving Microstructures in Relaxed Continuum Damage Mechanics for Strain Softening

Maximilian Köhler, Daniel Balzani

A new relaxation approach is proposed which allows for the description of stress- and strain-softening at finite strains. The model is based on the construction of a convex hull re…

math.NA2022

Simulation of crack propagation through voxel-based, heterogeneous structures based on eigenerosion and finite cells

Dennis Wingender, Daniel Balzani

This paper presents an algorithm for the efficient simulation of ductile crack propagation through heterogeneous structures, as e.g. metallic microstructures, which are given as vo…

cs.CE2021

A new Method for the in vivo identification of material properties of the human eye. Feasibility analysis based on synthetic data

Stefan Muench, Mike Roellig, Daniel Balzani

This paper proposes a new method for in vivo and almost real-time identification of biomechanical properties of the human cornea based on non-contact tonometer data. Further goal i…

cs.CE2021

Efficient and robust numerical treatment of a gradient-enhanced damage model at large deformations

Philipp Junker, Johannes Riesselmann, Daniel Balzani

The modeling of damage processes in materials constitutes an ill-posed mathematical problem which manifests in mesh-dependent finite element results. The loss of ellipticity of the…

cs.CE2020★ 1 cited

A General, Implicit, Large-Strain FE Framework for the Simulation of Dynamic Problems on Two Scales

Erik Tamsen, Daniel Balzani

In this paper we present a fully-coupled, two-scale homogenization method for dynamic loading in the spirit of FE methods. The framework considers the balance of linear momentu…

cond-mat.mtrl-sci2020★ 40 cited

An extended Hamilton principle as unifying theory for coupled problems and dissipative microstructure evolution

Philipp Junker, Daniel Balzani

An established strategy for material modeling is provided by energy-based principles such that evolution equations in terms of ordinary differential equations can be derived. Howev…