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Perspektivenwechsel. Bildinformationen anzeigen

Perspektivenwechsel.

Foto: Universität Paderborn

Prof. Dr. Rolf Mahnken, M.Sc.

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Publikationen
Prof. Dr. Rolf Mahnken, M.Sc.

Institut für Leichtbau mit Hybridsystemen (ILH)

Vorstand - Professor - Vorstand ILH und FK LEM

Profilbereich Nachhaltige Werkstoffe, Prozesse und Produkte

Mitglied - Professor

Fakultät für Maschinenbau > Technische Mechanik

Leiter - Professor

Telefon:
+49 5251 60-2283
Fax:
+49 5251 60-3483
Büro:
P1.2.11.5
Besucher:
Pohlweg 47-49
33098 Paderborn

Liste im Research Information System öffnen

2021

Fuzzy and stochastic approach applied to rubber like materials

E. Penner, I. Caylak, R. Mahnken, A. Dridger, Safety and Reliability (2021), pp. 1-19


Microstructure transformations in a press hardening steel during tailored thermo‐mechanical processing

H. Westermann, A. Reitz, R. Mahnken, M. Schaper, O. Grydin, steel research international (2021)

Microstructure transformation due to thermo-mechanical processing have an acute effect the macroscopic properties of low carbon steels. This effect includes visco-plastic deformation and phase transformations. Hot forming processes such as press hardening are particularly affected. Most engineering applications require a combination of high strength and sufficient residual ductility, which can be achieved by the development of graded microstructures. In the present work, the evolution of phase transformations is investigated by linking experiments and simulations to produce graded microstructures. For this purpose, an extended material model is proposed to represent the evolution of phase transformations under inhomogeneous heating and cooling strategies. On the experimental side, phase transformations are identified during thermo-mechanical treatment of flat steel specimens using digital image correlation and thermal imaging. Based on the experimental results, the material parameters are identified, and the simulation model is validated. On the numerical side an algorithm for the finite-element simulation of phase transformations in low carbon steels is proposed. The evolution of phase transformations is presented for the simulation of tensile specimen employing the finite-element-method.


Non-linear mean-field modelling of UD composite laminates accounting for average asymmetric plasticity of the matrix, debonding and progressive failure

C. Cheng, Z. Wang, Z. Jin, X. Ju, S. Schweizer, T. Tröster, R. Mahnken, Composites Part B: Engineering (2021), 224

As an effective and accurate method for modelling composite materials, mean-field homogenization is still not well studied in modelling non-linear and damage behaviours of UD composites. Investigated micro FE-simulations show that the matrix of UD composites exhibits different average plastic behaviour, named as average asymmetric matrix plasticity (AAMP), when the composite behaves different under shear, longitudinal and transverse loadings. In this study, a non-linear mean-field debonding model (NMFDM) combining a mean-field model and a fibre–matrix interface debonding model, is developed to simulate UD composites under consideration of AAMP, fibre–matrix interface damage and progressive failure. AAMP is considered by using so-called stress mode factor, which is expressed in terms of basic invariants of the matrix deviatoric stress tensor and is used as an indicator for detection of differences in the loading mode. The material behaviour of UD composites with imperfect interface is assumed identical as for perfect interface and stiffness reduced fibres. Progressive failure criteria are established with consideration of fibre breakage and matrix crack for different fibre orientations. As a representative example for the NMFDM, a C30/E201 UD composite is studied. To verify the model, experiments are conducted on polymers, carbon fibres and UD CFRPs. Finally, the model is applied to simulate a perforated CFRP laminate, which shows excellent prediction ability on deformation, debonding and progressive failure.


    A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures

    A. Henkes, I. Caylak, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2021)


    A non-equilibrium thermodynamic framework for viscoplasticity incorporating dynamic recrystallization at large strains

    R. Mahnken, H. Westermann, International Journal of Plasticity (2021)


    On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains

    H. Westermann, R. Mahnken, in: 14th WCCM-ECCOMAS Congress, 2021


    Damage simulation of thermo‐chemo‐elasto‐plastic fibre reinforced composites using mean‐field homogenization methods

    P. Lenz, R. Mahnken, PAMM (2021)


    Constitutive modeling of dynamic recrystallization coupled to viscoplasticity

    H. Westermann, R. Mahnken, PAMM (2021)


    An uncertainty model for the curing process of transversely fiber reinforced plastics

    E. Penner, I. Caylak, R. Mahnken, PAMM (2021)


    A deep learning driven uncertain full‐field homogenization method

    A. Henkes, I. Caylak, R. Mahnken, PAMM (2021)


    2020

    Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters

    I. Caylak, E. Penner, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2020)


    2019


    Die technische Biegetheorie

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 2: Elastostatik, 2019


    Energiemethoden der Elastostatik

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 2: Elastostatik, 2019


    A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics

    I. Caylak, E. Penner, R. Mahnken, PAMM (2019)


    Einführung in Hybridstrukturen

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 2: Elastostatik, 2019


    Damage simulation of fiber reinforced composites using mean‐field homogenization methods

    P. Lenz, R. Mahnken, PAMM (2019)


    Schubspannungen in Biegebalken

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 2: Elastostatik, 2019


    A polynomial chaos expanded hybrid fuzzy-stochastic model for transversely fiber reinforced plastics

    E. Penner, I. Caylak, A. Dridger, R. Mahnken, Mathematics and Mechanics of Complex Systems (2019), pp. 99-129


    Model adaptivity on mean‐field and full‐field homogenization methods considering hierarchical unit cells

    X. Ju, R. Mahnken, PAMM (2019)


    Die technische Torsionstheorie

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 2: Elastostatik, 2019


    Mehrdimensionale Spannungs- und Verzerrungszustände

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 2: Elastostatik, 2019


    Einleitung

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 2: Elastostatik, 2019


    Zug und Druck in Stäben

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 2: Elastostatik, 2019


    Flächenmomente 2. Ordnung

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 2: Elastostatik, 2019



    2018

    The effective shear modulus for ann-layered composite sphere

    P. Lenz, C. Dammann, R. Mahnken, PAMM (2018), pp. 609-610


    Transformation strains for bainitic variant evolution in steel

    U. Ehlenbröker, M. Petersmann, T. Antretter, R. Mahnken, PAMM (2018), pp. 587-588


    A multi-mechanism model for cutting simulation: A Ginzburg-Landau type phase gradient and numerical implementations

    C. Cheng, R. Mahnken, International Journal of Solids and Structures (2018), pp. 1-17


    Derivation of an n-layered composite sphere model for thermo-chemo-mechanical effective properties

    C. Dammann, R. Mahnken, P. Lenz, PAMM (2018), pp. 581-582


    A least squares approach for effective shear properties in an n-layered sphere model

    R. Mahnken, P. Lenz, C. Dammann, Archive of Applied Mechanics (2018), pp. 2081-2099


    Unschärfe in der Simulation im Kontext von Sicherheitsdiskursen

    A. Dridger, R. Mahnken, in: Wissenschaft im Angesicht »großer gesellschaftlicher Herausforderungen«, 2018


    2017

    (n)- AND (n + 1)-LAYERED COMPOSITE SPHERE MODELS FOR THERMO-CHEMO-MECHANICAL EFFECTIVE PROPERTIES

    R. Mahnken, C. Dammann, P. Lenz, International Journal for Multiscale Computational Engineering (2017), pp. 295-322


    MULTIDIMENSIONAL STOCHASTIC MATERIAL MODELING AT LARGE DEFORMATIONS CONSIDERING PARAMETER CORRELATIONS

    E. Penner, I. Caylak, R. Mahnken, in: Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2017), 2017


    Thermo-Mechanical Simulation of Hard Turning with Macroscopic Models

    E. Uhlmann, R. Mahnken, I.M. Ivanov, C. Cheng, in: Lecture Notes in Production Engineering, 2017


    2016

    A linear elastic Fuzzy Finite Element Method with two fuzzy input parameters

    A. Dridger, I. Caylak, R. Mahnken, PAMM (2016), pp. 667-668


    Modeling of variant-interaction during bainitic phase transformation

    U. Ehlenbröker, R. Mahnken, M. Petersmann, T. Antretter, IOP Conference Series: Materials Science and Engineering (2016)


    Extension of a multi-mechanism model: Hardness-based flow and transformation induced plasticity for austenitization

    C. Cheng, R. Mahnken, International Journal of Solids and Structures (2016), pp. 127-141


    An NTFA-based homogenization framework considering softening effects

    X. Ju, R. Mahnken, Mechanics of Materials (2016), pp. 106-125


    Schwerpunkte

    R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik, 2016



    A three-scale framework for fibre-reinforced-polymer curing Part I: Microscopic modeling and mesoscopic effective properties

    R. Mahnken, C. Dammann, International Journal of Solids and Structures (2016), pp. 341-355


    Two accuracy improvements on nonuniform transformation field analysis for plasticity coupled to softening

    X. Ju, R. Mahnken, PAMM (2016), pp. 527-528



    Macromodelling of Transformation Induced Plasticity combined with Viscoplasticity for Low-Alloy Steels

    A. Schneidt, R. Mahnken, steel research international (2016), pp. 116-123


    A Stochastic Finite Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor

    R. Mahnken, I. Caylak, A. Dridger, A Stochastic Finite Element Method with a Deviatoric-volumetric Split for the Stochastic Linear Isotropic Elasticity Tensor (2016)

    This paper presents a numerical method for solution of a stochastic partial differential equation (SPDE) for a linear elastic body with stochastic coefficients (random variables and/or random fields). To this end the stochastic finite element method (SFEM) is employed, which uses W IENER’S polynomial chaos expansion in order to decompose the coefficients into deterministic and stochastic parts. As a special case, we consider isotropic material behavior with two fluctuating parameters. Computational approaches involving GALERKIN projection are applied to reduce the SPDE into a system of deterministic PDEs. Furthermore, we consider normally distributed random variables, which are assumed to be stochastically independent, and which establish the number of stochastic dimensions. Subsequently, the resulting finite element equation is solved iteratively. Finally, in a representative example for a plate with a ring hole we study the influence of different variances for material parameters on the variances for the finite element results.


      A three-scale framework for fibre-reinforced-polymer curing part II: Mesoscopic modeling and macroscopic effective properties

      R. Mahnken, C. Dammann, International Journal of Solids and Structures (2016), pp. 356-375


      Kinematik von Starrkörpersystemem in der Ebene

      R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik, 2016


      Axiome, Gesetze und Idealisierungen

      R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik, 2016


      On the Design, Characterization and Simulation of Hybrid Metal-Composite Interfaces

      R. Kießling, J. Ihlemann, M. Pohl, M. Stommel, C. Dammann, R. Mahnken, M. Bobbert, G. Meschut, F. Hirsch, M. Kästner, Applied Composite Materials (2016), pp. 251-269


      SFEM for rubber-like materials at large deformations

      E. Penner, I. Caylak, N. Nörenberg, R. Mahnken, PAMM (2016), pp. 675-676


      A thermodynamic framework for coupled multiphase Ginzburg-Landau/Cahn-Hilliard systems for simulation of lower bainitic transformation

      M. Düsing, R. Mahnken, Archive of Applied Mechanics (2016), pp. 1947-1964


      A thermodynamic framework for coupled multiphase field and diffusion models for lower bainite transformation

      M. Düsing, R. Mahnken, PAMM (2016), pp. 321-322


      Gleichgewicht von Balkentragwerken

      R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik, 2016


      Einleitung

      R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik, 2016


      PC expansion for material parameters using artificial data and statistical methods

      I. Caylak, N. Nörenberg, R. Mahnken, PAMM (2016), pp. 191-192


      On the Design, Characterization and Simulation of Hybrid Metal-Composite Interfaces

      R. Kießling, J. Ihlemann, M. Pohl, M. Stommel, C. Dammann, R. Mahnken, M. Bobbert, G. Meschut, F. Hirsch, M. Kästner, Applied Composite Materials (2016), pp. 251-269


      The concept of generalized stresses for computational manufacturing and beyond

      R. Mahnken, C. Cheng, M. Düsing, U. Ehlenbröker, T. Leismann, GAMM-Mitteilungen (2016), pp. 229-265


      Determination of effective properties for CFRP curing coupled to viscoleasticity based on a three-scale framework

      C. Dammann, R. Mahnken, PAMM (2016), pp. 517-518


      Arbeit, Potenzial und Stabilität

      R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik, 2016


      Gleichgewicht von Fachwerken

      R. Mahnken, in: Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik, 2016


      2015

      Non-linear Stochastic Finite Element

      I. Caylak, A. Dridger, R. Mahnken, PAMM (2015), pp. 179-180


      Stabilität elastischer Stäbe

      R. Mahnken, in: Lehrbuch der Technischen Mechanik - Elastostatik, 2015


      Evaluation of different approaches for modeling phase transformations in machining simulation

      V. Schulze, E. Uhlmann, R. Mahnken, A. Menzel, D. Biermann, A. Zabel, P. Bollig, I.M. Ivanov, C. Cheng, R. Holtermann, T. Bartel, Production Engineering (2015), pp. 437-449


      Simulation of lower bainitic transformation with the phase-field method considering carbide formation

      M. Düsing, R. Mahnken, Computational Materials Science (2015), pp. 91-100


      A Novel Finite Element Approach to Modeling Hard Turning in Due Consideration of the Viscoplastic Asymmetry Effect

      E. Uhlmann, R. Mahnken, I.M. Ivanov, C. Cheng, Procedia CIRP (2015), pp. 471-476


      A multi-mechanism model for cutting simulations based on the concept of generalized stresses

      C. Cheng, R. Mahnken, Computational Materials Science (2015), pp. 144-158


      Comparison of hyperelastic micromorphic, micropolar and microstrain continua

      T. Leismann, R. Mahnken, International Journal of Non-Linear Mechanics (2015), pp. 115-127


      A coupled phase-field - Cahn-Hilliard model for lower bainitic transformation

      M. Düsing, R. Mahnken, PAMM (2015), pp. 285-286


      Uncertainty quantification for linear elastic bodies with two fluctuating input parameters

      A. Dridger, I. Caylak, R. Mahnken, PAMM (2015), pp. 551-552


      Adaptive FEM with goal-oriented error estimation and an approximation of the dual problem for inelastic problems

      K. Widany, R. Mahnken, PAMM (2015), pp. 607-608


      Transition from hyperelastic micromorphic to micropolar and microstrain continua

      T. Leismann, R. Mahnken, PAMM (2015), pp. 329-330


      Dual-based adaptive FEM for inelastic problems with standard FE implementations

      K. Widany, R. Mahnken, International Journal for Numerical Methods in Engineering (2015), pp. 127-154


      Parameter identification for rubber materials with artificial spatially distributed data

      N. Nörenberg, R. Mahnken, Computational Mechanics (2015), pp. 353-370


      Die technische Torsionstheorie

      R. Mahnken, in: Lehrbuch der Technischen Mechanik - Elastostatik, 2015


      2014

      Multi-scale modeling of bainitic phase transformation in multi-variant polycrystalline low alloy steels

      R. Mahnken, A. Schneidt, T. Antretter, U. Ehlenbröker, M. Wolff, International Journal of Solids and Structures (2014), pp. 156-171


      A macroscopic consitutive model on induced anisotropy for polymers with weighting functions

      C. Dammann, R. Mahnken, PAMM (2014), pp. 387-388



      Experimental Investigation of PC-Films Using Optical Measurements

      C. Dammann, I. Caylak, R. Mahnken, International Polymer Processing (2014), pp. 260-271

      <jats:title>Abstract</jats:title> <jats:p>The alignment of polymer chains is a well known microstructural evolution effect due to straining of polymers. This has a drastic influence on the macroscopic properties of the initially isotropic material. In this work, cold forming is performed at room temperature on a tensile testing machine. Polycarbonate films are examined in two loading phases. In the first phase, the specimen is loaded to induce anisotropy, and in the second, it is re-loaded, while the material direction is varied. The investigations are supported by an optical measurement system to gain knowledge about the inhomogeneous material behavior in the initial loading phase and about the anisotropic homogeneous behavior during the re-loading phase. Two dimensional strain contours are obtained from the test data. Additionally, we propose a method for approximation of the macroscopic true stress and compare the results with a common approach based on volume consistency. In the future, the test data will set a basis for parameter identification of constitutive equations taking into account a combination of inhomogenous and homogenous material behavior, exhibiting strain induced anisotropy.</jats:p>


        Macroscopic and mesoscopic modeling based on the concept of generalized stresses for cutting simulation

        C. Cheng, R. Mahnken, E. Uhlmann, I.M. Ivanov, PAMM (2014), pp. 419-420


        Parameter identification for rubber materials with artificial higher dimensional data

        R. Mahnken, N. Nörenberg, PAMM (2014), pp. 427-428


        Approximation of the dual problem for error estimation in inelastic problems

        K. Widany, R. Mahnken, PAMM (2014), pp. 273-274


        Stabilized mixed triangular elements with area bubble functions at small and large deformations

        I. Caylak, R. Mahnken, Computers & Structures (2014), pp. 172-182


        Bainitic variant evolution in a low-alloyed steel including numerical aspects

        U. Ehlenbröker, R. Mahnken, PAMM (2014), pp. 381-382


        2013

        Parameter Identification in Continuum Mechanics: From Hand-Fitting to Stochastic Modelling

        R. Mahnken, in: The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering, 2013


        A multi-mechanism model for cutting simulations combining visco-plastic asymmetry and phase transformation

        R. Mahnken, M. Wolff, C. Cheng, International Journal of Solids and Structures (2013), pp. 3045-3066


        A Multi-Mechanism Model for Cutting Simulations Combining Visco-plastic Asymmetry and Phase Transformation

        C. Cheng, R. Mahnken, E. Uhlmann, I.M. Ivanov, PAMM (2013), pp. 149-150


        Thermodynamic consistent modeling of polymer curing coupled to visco–elasticity at large strains

        R. Mahnken, International Journal of Solids and Structures (2013), pp. 2003-2021


        Experimental Investigations on the Induced Anisotropy of Mechanical Properties in Polycarbonate Films

        A. Wibbeke, V. Schöeppner, R. Mahnken, ISRN Materials Science (2013), pp. 1-8

        <jats:p>The prime aim of this paper is to investigate, with the help of experiments, the induced anisotropy of mechanical properties in polycarbonate films. It is known that a molecular orientation in polymer materials occurs through cold-forming. In this study, cold forming is performed at room temperature on a tensile testing machine. The polycarbonate films are examined in two phases. In the first phase, the specimen is loaded, while the prestrain is varied, and in the second, it is loaded, while the material direction is varied. The main findings are that the prestrain has virtually no influence on the anisotropy and that the material direction does exert a major influence. Furthermore, this paper summarizes comparisons of anisotropic characteristic data, maximum stresses, elasticity moduli and failure strain.</jats:p>


          Goal-oriented adaptive refinement for phase field modeling with finite elements

          R. Mahnken, International Journal for Numerical Methods in Engineering (2013), pp. 418-440


          Simulation of strain-induced anisotropy for polymers with weighting functions

          R. Mahnken, C. Dammann, Archive of Applied Mechanics (2013), pp. 21-41


          2012

          Multi-phase transformations at large strains – Thermodynamic framework and simulation

          R. Mahnken, M. Wolff, A. Schneidt, M. Böhm, International Journal of Plasticity (2012), pp. 1-26


          Modeling of induced anisotropy at large deformations for polymers

          I. Caylak, R. Mahnken, PAMM (2012), pp. 319-320


          Finite elasto-viscoplastic modeling of polymers including asymmetric effects

          R. Mahnken, A. Shaban, Archive of Applied Mechanics (2012), pp. 53-71


          Adaptive FEM with Stabilized Elements for Parameter Identification of Incompressible Hyperelastic Materials

          K. Widany, R. Mahnken, PAMM (2012), pp. 213-214


          A stochastic model for the direct and inverse problem of adhesive materials

          N. Nörenberg, R. Mahnken, PAMM (2012), pp. 317-318


          Micromechanical modeling of bainitic phase transformation

          A. Schneidt, T. Antretter, R. Mahnken, PAMM (2012), pp. 341-342


          A stochastic model for parameter identification of adhesive materials

          N. Nörenberg, R. Mahnken, Archive of Applied Mechanics (2012), pp. 367-378


          Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements

          K. Widany, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2012), pp. 117-131


          2011

          Stabilized mixed triangular finite elements at large deformations using area bubble functions

          I. Caylak, R. Mahnken, K. Widany, PAMM (2011), pp. 201-202


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