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    • Biomechanics
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Modelling and simulation of nonlinear electro-thermo-visco-elastic EAPs(Electronic Electro-Active Polymers)
      • Modeling and computation of growth in soft biological matter
    • Contact mechanics
      • Material modelling of sheet-layered lamination stacks
      • Reduced order modelling of non-linear gyroscopic systems in ALE formulation with frictional contact
      • A coupled MD-FE simulation method accounting for interphases in nanoparticle filled thermoplastics.
      • C1: Constitutive friction law for the description and optimization of tailored surfaces
    • Material Mechanics
      • On the Formulation and the Micromechanical Origin of Non-Classical Models of Diffusion
      • Mehrskalenmodellierung und -simulation der Mechanik von Materialien mit Faserstruktur
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • A coupled MD-FE simulation method accounting for interphases in nanoparticle filled thermoplastics.
      • Modelling and simulation of nonlinear electro-thermo-visco-elastic EAPs(Electronic Electro-Active Polymers)
      • Modeling and computation of growth in soft biological matter
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • A coupled MD-FE simulation method accounting for interphases in nanoparticle filled thermoplastics.
      • Teilprojekt P5 – Compressive Failure in Porous Materials
      • Modelling and simulation of nonlinear electro-thermo-visco-elastic EAPs(Electronic Electro-Active Polymers)
      • Modeling and computation of solvent penetration in glassy polymers
      • Modeling and computation of growth in soft biological matter
      • Multi-scale modeling of nano-structured polymeric materials: from chemistry to materials performance
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Fractures across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics/ Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik
      • Kontinuumsmechanische Modellierung und Simulation der Aushärtung und Inelastizität von Polymeren sowie Interphasen in Klebverbunden
      • Bridging scales – from Quantum Mechanics to Continuum Mechanics. A Finite Element approach.
      • Teilprojekt P12 – Postdoctoral Project: Quantum-to-Continuum Model of Thermoset Fracture
      • A hybrid Sampling-Stochastic-Finite-Element-Method for polymorphic, microstructural uncertainties in heterogeneous materials
      • Mikroskalige Charakterisierungsmethoden zur Kalibrierung von Stoffgesetzen für Biomaterialien und Kunststoffe
      • Electronic electro-active polymers under electric loading: Experiment, modeling and simulation
      • Material modelling of sheet-layered lamination stacks
      • Teilprojekt P6 – Fracture in Thermoplastics: Discrete-to-Continuum
      • Teilprojekt P10 – Configurational Fracture/Surface Mechanics
      • Multi-scale, Multi-physics Modelling and Computation of magneto-sensitive POLYmeric materials
      • Identifikation von Interphaseneigenschaften in Nanokompositen
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Material modelling of sheet-layered lamination stacks
      • On the Modelling and Computation of Magneto-Sensitive-Elastomers
      • Mehrskalenmodellierung und -simulation der Mechanik von Materialien mit Faserstruktur
    • Uncertainty Quantification
      • C3: Parameter and shape optimization in finite elastoplasticity
      • Fuzzy-arithmetical modeling of processes with uncertain prarameters
      • A hybrid Sampling-Stochastic-Finite-Element-Method for polymorphic, microstructural uncertainties in heterogeneous materials
      • A hybrid Sampling-Stochastic-Finite-Element-Method for polymorphic, microstructural uncertainties in heterogeneous materials
    • Multiscale mechanics
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • Teilprojekt P6 – Fracture in Thermoplastics: Discrete-to-Continuum
      • Teilprojekt P10 – Configurational Fracture/Surface Mechanics
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • Teilprojekt P6 – Fracture in Thermoplastics: Discrete-to-Continuum
      • Teilprojekt P5 – Compressive Failure in Porous Materials
      • Multi-scale, Multi-physics Modelling and Computation of magneto-sensitive POLYmeric materials
      • Multi-scale modeling of nano-structured polymeric materials: from chemistry to materials performance
      • Identifikation von Interphaseneigenschaften in Nanokompositen
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • Mesoscopic modelling and simulation of properties of additively manufactured metallic parts (C5)
      • Teilprojekt P5 – Compressive Failure in Porous Materials
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Multi-scale, Multi-physics Modelling and Computation of magneto-sensitive POLYmeric materials
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Multi-scale modeling of nano-structured polymeric materials: from chemistry to materials performance
      • Fractures across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics/ Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik
      • Identifikation von Interphaseneigenschaften in Nanokompositen
      • Bridging scales – from Quantum Mechanics to Continuum Mechanics. A Finite Element approach.
      • Teilprojekt P12 – Postdoctoral Project: Quantum-to-Continuum Model of Thermoset Fracture
      • Mikroskalige Charakterisierungsmethoden zur Kalibrierung von Stoffgesetzen für Biomaterialien und Kunststoffe
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Fractures across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics/ Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik
      • Bridging scales – from Quantum Mechanics to Continuum Mechanics. A Finite Element approach.
      • Teilprojekt P12 – Postdoctoral Project: Quantum-to-Continuum Model of Thermoset Fracture
      • Mikroskalige Charakterisierungsmethoden zur Kalibrierung von Stoffgesetzen für Biomaterialien und Kunststoffe
    • Process Simulation
      • Experimentell basierte Modellierung, Simulation und Kompensation thermischer Einflüsse beim Drehen mesoheterogener Werkstoffe aus Al-MMC.
      • Macroscopic modeling, simulation, and optimization of the selective beam melting process (C3)
      • Simulations- und versuchsbasierte Untersuchung der Wechselwirkung zwischen Zerspanprozess und Maschinenstruktur beim Hochleistungsflachschleifen
      • Experimentell basierte Modellierung, Simulation und Kompensation thermischer Einflüsse beim Drehen mesoheterogener Werkstoffe aus Al-MMC. Phase 2
    • Structural dynamics
      • Reduced order modelling of non-linear gyroscopic systems in ALE formulation with frictional contact
      • Vibration reduction by energy transfer using shape adaption
      • Structural dynamics of rotating systems
      • Investigation and reduction of nonlinear oscillation systems using modal approaches
      • Reduced order modelling of non-linear gyroscopic systems in ALE formulation with frictional contact
    • Optimization
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Structural optimization of shape and topology using an embedding domain discretization technique
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Teilprojekt P10 – Configurational Fracture/Surface Mechanics
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Adaptive finite elements based on sensitivities for topological mesh changes
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Teilprojekt P10 – Configurational Fracture/Surface Mechanics
    • Other Projects
      • A numerical model of translational and rotational momentum transfer of small on-spherical rigid particles in fluid dominated two-phase flows
      • Fracture Across Scales and Materials, Processes and Disciplines
      • Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)
      • Numerical and experimental study of the deposition of micro-sized non-spherical solid particles in the nasal cavity
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  4. Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)

Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)

In page navigation: Research
  • Biomechanics
  • Contact mechanics
  • Material Mechanics
  • Uncertainty Quantification
  • Multiscale mechanics
  • Process Simulation
  • Structural dynamics
  • Optimization
  • Other Projects
    • A numerical model of translational and rotational momentum transfer of small on-spherical rigid particles in fluid dominated two-phase flows
    • Fracture Across Scales and Materials, Processes and Disciplines
    • Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)
    • Numerical and experimental study of the deposition of micro-sized non-spherical solid particles in the nasal cavity

Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)

Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)

(Third Party Funds Group – Overall project)

Overall project:
Project leader: Paul Steinmann
Project members: Bernd Meyer, Erik Bitzek, Dirk Zahn, Thorsten Pöschel, Michael Zaiser, Sebastian Pfaller, Paolo Moretti, Julia Mergheim, Sigrid Leyendecker, Paul Steinmann, Michael Stingl, Ana-Suncana Smith
Start date: 1. January 2019
End date: 30. June 2023
Acronym: GRK 2423 FRASCAL
Funding source: DFG / Graduiertenkolleg (GRK)
URL: https://www.frascal.research.fau.eu/

Abstract

The RTG aims to improve understanding of fracture in brittle heterogeneous materials by developing simulation methods able to capture the multiscale nature of failure. With i) its rooting in different scientific disciplines, ii) its focus on the influence of heterogeneities on fracture at different length and time scales as well as iii) its integration of highly specialised approaches into a “holistic” concept, the RTG addresses a truly challenging cross-sectional topic in mechanics of materials. Although various simulation approaches describing fracture exist for particular types of materials and specific time and length scales, an integrated and overarching approach that is able to capture fracture processes in different – and in particular heterogeneous – materials at various length and time resolutions is still lacking. Thus, we propose an RTG consisting of interdisciplinary experts from mechanics, materials science, mathematics, chemistry, and physics that will develop the necessary methodology to investigate the mechanisms underlying brittle fracture and how they are influenced by heterogeneities in various materials. The insights obtained together with the methodological framework will allow tailoring and optimising materials against fracture. The RTG will cover a representative spectrum of brittle materials and their composites, together with granular and porous materials. We will study these at length and time scales relevant to science and engineering, ranging from sub-atomic via atomic and molecular over mesoscale to macroscopic dimensions. Our modelling approaches and simulation tools are based on concepts from quantum mechanics, molecular mechanics, mesoscopic approaches, and continuum mechanics. These will be integrated into an overall framework which will represent an important step towards a virtual laboratory eventually complementing and minimising extensive and expensive experimental testing of materials and components. Within the RTG, young researchers under the supervision of experienced PAs will perform cutting-edge research on challenging scientific aspects of fracture. The RTG will foster synergies in research and advanced education and is intended to become a key element in FAU‘s interdisciplinary research areas “New Materials and Processes” and “Modelling–Simulation–Optimisation”.

Publications

  • Zhao W., Pfaller S.:
    The Capriccio method: a scale bridging approach for polymers extended towards inelasticity
    In: Proceedings in Applied Mathematics and Mechanics 20 (2021)
    ISSN: 1617-7061
    DOI: 10.1002/pamm.202000301
  • Laurien M., Javili A., Steinmann P.:
    Nonlocal interfaces accounting for progressive damage within continuum-kinematics-inspired peridynamics
    In: International Journal of Solids and Structures 290 (2024), p. 1-21
    ISSN: 0020-7683
    DOI: 10.1016/j.ijsolstr.2023.112641
  • Laurien M., Javili A., Steinmann P.:
    Peridynamic modeling of nonlocal degrading interfaces in composites
    In: Forces in Mechanics 10 (2023)
    ISSN: 2666-3597
    DOI: 10.1016/j.finmec.2022.100124

Institute of Applied Mechanics
Friedrich-Alexander-Universität Erlangen-Nürnberg

Egerlandstrasse 5
91058 Erlangen
Germany
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