Daniel Balzani
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View article: Variationally consistent microstructure evolution and microsphere-based reconvexification for damage with application to arterial tissues
Variationally consistent microstructure evolution and microsphere-based reconvexification for damage with application to arterial tissues Open
View article: Quantification of microstructure‐related uncertainties in structural analysis based on artificial microstructures and the FE2$$ {\mathrm{FE}}^2 $$‐method
Quantification of microstructure‐related uncertainties in structural analysis based on artificial microstructures and the FE2$$ {\mathrm{FE}}^2 $$‐method Open
The characteristics of microstructure morphology of micro‐heterogeneous materials may vary over the macroscopic length scale and thus result in macroscopically distributed, uncertain material properties. Hence, multiscale approaches for th…
View article: Scale-Specific Viscoelastic Characterization of Hydrogels: Integrated AFM and Finite Element Modeling
Scale-Specific Viscoelastic Characterization of Hydrogels: Integrated AFM and Finite Element Modeling Open
Viscoelastic hydrogels mimic the dynamic mechanical properties of native extracellular matrices, making them essential for biomedical applications. However, characterizing their scale-dependent mechanical properties remains challenging, de…
View article: Editorial
Editorial Open
View article: Homeostatic Kinematic Growth Model for Arteries -- Residual Stresses and Active Response
Homeostatic Kinematic Growth Model for Arteries -- Residual Stresses and Active Response Open
A simple kinematic growth model for muscular arteries is presented which allows the incorporation of residual stresses such that a homeostatic in-vivo stress state under physiological loading is obtained. To this end, new evolution equatio…
View article: A Simple Voltage-Modulated Markov Chain Model for the Piezo1 Ion Channel to Investigate Electromechanical Pacing
A Simple Voltage-Modulated Markov Chain Model for the Piezo1 Ion Channel to Investigate Electromechanical Pacing Open
Piezo1 ion channels are voltage-modulated, stretch-activated ion channels involved in a variety of important physiological and pathophysiological processes, as for example cardiovascular development and homeostasis. Since its discovery, it…
View article: Quasiconvex relaxation of planar Biot-type energies and the role of determinant constraints
Quasiconvex relaxation of planar Biot-type energies and the role of determinant constraints Open
We derive the quasiconvex relaxation of the Biot-type energy density $\lVert\sqrt{\operatorname{D}φ^T \operatorname{D}φ}-I_2\rVert^2$ for planar mappings $φ\colon\mathbb{R}^2\to \mathbb{R}^2$ in two different scenarios. First, we consider …
View article: Regularization of softening plasticity models for explicit dynamics using a gradient-enhanced modified Johnson–Holmquist model
Regularization of softening plasticity models for explicit dynamics using a gradient-enhanced modified Johnson–Holmquist model Open
View article: Reliability-Based Design Optimization Incorporating Extended Optimal Uncertainty Quantification
Reliability-Based Design Optimization Incorporating Extended Optimal Uncertainty Quantification Open
Reliability-based design optimization (RBDO) approaches aim to identify the best design of an engineering problem, whilst the probability of failure (PoF) remains below an acceptable value. Thus, the incorporation of the sharpest bounds on…
View article: An efficient mixed finite element formulation for 3D strain gradient elasticity
An efficient mixed finite element formulation for 3D strain gradient elasticity Open
View article: Hierarchical rank-one sequence convexification for the relaxation of variational problems with microstructures
Hierarchical rank-one sequence convexification for the relaxation of variational problems with microstructures Open
View article: Load history dependency of stiffness properties of PTFE-coated glass fibre membranes
Load history dependency of stiffness properties of PTFE-coated glass fibre membranes Open
The aim of this contribution is to investigate whether the order of load ratios applied to a textile structure impacts the biaxial stiffness behaviour of the structural textile itself. These investigations are performed based on biaxial te…
View article: Hierarchical Rank-One Sequence Convexification for the Relaxation of Variational Problems with Microstructures
Hierarchical Rank-One Sequence Convexification for the Relaxation of Variational Problems with Microstructures Open
This paper presents an efficient algorithm for the approximation of the rank-one convex hull in the context of nonlinear solid mechanics. It is based on hierarchical rank-one sequences and simultaneously provides first and second derivativ…
View article: Cell viscosity influences hematogenous dissemination and metastatic extravasation of tumor cells
Cell viscosity influences hematogenous dissemination and metastatic extravasation of tumor cells Open
Metastases arise from a multi-step process during which tumor cells change their mechanics in response to microenvironmental cues. While such mechanical adaptability could influence metastatic success, how tumor cell mechanics directly imp…
View article: On the Cover: Unique Identification of Stiffness Parameters in Hyperelastic Models for Anisotropic, Deformable, Thin Materials Based on a Single Experiment - A Feasibility Study Based on Virtual Full-Field Data
On the Cover: Unique Identification of Stiffness Parameters in Hyperelastic Models for Anisotropic, Deformable, Thin Materials Based on a Single Experiment - A Feasibility Study Based on Virtual Full-Field Data Open
View article: Unique Identification of Stiffness Parameters in Hyperelastic Models for Anisotropic, Deformable, Thin Materials Based on a Single Experiment - A Feasibility Study Based on Virtual Full-Field Data
Unique Identification of Stiffness Parameters in Hyperelastic Models for Anisotropic, Deformable, Thin Materials Based on a Single Experiment - A Feasibility Study Based on Virtual Full-Field Data Open
Background Characterizing material properties of thin sheets for design or manufacturing purposes is an essential concern in many engineering applications. This task is particularly challenging for materials with a pronounced anisotropic a…
View article: An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology
An explicit local space-time adaptive framework for monodomain models in cardiac electrophysiology Open
We present a new explicit local space–time adaptive framework to decrease the time required for monodomain simulations for cardiac electrophysiology. Based on the localized structure of the steep activation wavefront in solutions to monodo…
View article: A computational framework for pharmaco‐mechanical interactions in arterial walls using parallel monolithic domain decomposition methods
A computational framework for pharmaco‐mechanical interactions in arterial walls using parallel monolithic domain decomposition methods Open
A computational framework is presented to numerically simulate the effects of antihypertensive drugs, in particular calcium channel blockers, on the mechanical response of arterial walls. A stretch‐dependent smooth muscle model by Uhlmann …
View article: An Explicit Local Space-Time Adaptive Framework for Monodomain Models
An Explicit Local Space-Time Adaptive Framework for Monodomain Models Open
We present a new explicit local space-time adaptive framework to decrease the time required for monodomain simulations for cardiac electrophysiology. Based on the localized structure of the steep activation wavefront in solutions to monodo…
View article: A procedure for the experimental identificationof the strain gradient characteristic length
A procedure for the experimental identificationof the strain gradient characteristic length Open
The aim of this paper is to propose an experimental procedure for determining the characteristic length of a strain gradient model. The identification problem is studied through a virtual pull-out test of a rigid bar along the symmetry axi…
View article: Influence of hard phase size and spacing on the fatigue crack propagation in tool steels—Numerical simulation and experimental validation
Influence of hard phase size and spacing on the fatigue crack propagation in tool steels—Numerical simulation and experimental validation Open
In this study, the fatigue crack growth rate in four different tool steel microstructures (hot rolled, powdermetallurgically processed, as‐cast, and carbide‐free) is experimentally measured and correlated with hard phase size and spacing, …
View article: A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods
A computational framework for pharmaco-mechanical interactions in arterial walls using parallel monolithic domain decomposition methods Open
A computational framework is presented to numerically simulate the effects of antihypertensive drugs, in particular calcium channel blockers, on the mechanical response of arterial walls. A stretch-dependent smooth muscle model by Uhlmann …
View article: Multidimensional rank-one convexification of incremental damage models at finite strains
Multidimensional rank-one convexification of incremental damage models at finite strains Open
This paper presents computationally feasible rank-one relaxation algorithms for the efficient simulation of a time-incremental damage model with nonconvex incremental stress potentials in multiple spatial dimensions. While the standard mod…
View article: Comparison of arterial wall models in fluid–structure interaction simulations
Comparison of arterial wall models in fluid–structure interaction simulations Open
View article: Relaxed Incremental Formulations for Damage at Finite Strains Including Strain Softening
Relaxed Incremental Formulations for Damage at Finite Strains Including Strain Softening Open
Relaxation is a promosing technique to overcome mesh‐dependency in computational damage mechanics originating from the non‐convexity of an underlying incremental variational formulation. This technique does not require an internal length s…
View article: Enhancement in the Numerical Simulation of Textile Fabrics by Local Calculation of Stress‐Ratio‐Dependent Material Parameters
Enhancement in the Numerical Simulation of Textile Fabrics by Local Calculation of Stress‐Ratio‐Dependent Material Parameters Open
In the structural analysis of tensile membranes, the linear elastic model is still a favorable choice for design engineers due to its simplicity and straightforward interpretation of parameters. However, it is well known that such an over …
View article: Continuum Mechanical Modeling of the Inelastic Response of Woven Textile Membranes
Continuum Mechanical Modeling of the Inelastic Response of Woven Textile Membranes Open
This work discusses the derivation and numerical implementation of an elastoplastic model of textile membranes at finite strains. The mechanical model accounts for the anisotropic hyperelastic response [1], reached in the saturation region…
View article: Chemo-mechanical modeling of smooth muscle cell activation for the simulation of arterial walls under changing blood pressure
Chemo-mechanical modeling of smooth muscle cell activation for the simulation of arterial walls under changing blood pressure Open
View article: Application of Statistically Similar Representative Volume Elements of Metal Matrix Composites for the Efficient Simulation of Crack Propagation on the Microscale
Application of Statistically Similar Representative Volume Elements of Metal Matrix Composites for the Efficient Simulation of Crack Propagation on the Microscale Open
The efficiency of various drilling and cutting processes is strongly determined by the wear resistance of the applied tools. For example in mechanized tunnel drilling, metal matrix composites, used as reinforcements on the chisels, are pri…
View article: First steps towards modeling the interaction of cardiovascular agents and smooth muscle activation in arterial walls
First steps towards modeling the interaction of cardiovascular agents and smooth muscle activation in arterial walls Open
Numerical simulation of the response of healthy and pathological arteries to cardiovascular agents can provide valuable information to the physician in the treatment of diseases such as hypertension, atherosclerosis, and the Marfan syndrom…