Fakultät für Maschinenbau - Rolf Mahnken (Universität Paderborn)

<jats:title>Abstract</jats:title><jats:p>Composite materials, such as fiber reinforced polymers, become increasingly important due to their excellent mechanical and lightweight properties. In this respect, this paper reports the characterization of a unidirectional carbon fiber reinforced polymer composite material. Particularly, the mechanical behavior of the overall composite and of the individual constituents of the composite is investigated. To this end, tensile and shear tests are performed for the composite. As a result, statistics for five transversely isotropic material parameters can be established for the composite. For the description of the mechanical properties of the constituents, tensile tests for the carbon fiber as well as for the polymer matrix are carried out. In addition, the volume fraction of fibers in the matrix is determined experimentally using an ashing technique and Archimedes’ principle. For the Young’s modulus of the fiber, the Young’s modulus and transverse contraction of the matrix, as well as the volume fraction of the constituents, statistics can be concluded. The resulting mechanical properties on both scales are useful for the application and validation of different material models and homogenization methods. Finally, in order to validate the obtained properties in the future, inhomogeneous tests were performed, once a flat plate with a hole and a flat plate with semicircular notches.</jats:p>

Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation

P. Lenz, R. Mahnken, Composite Structures (2023), 116911

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Thermo‐chemo‐mechanical modelling of a curing process combined with mean‐field homogenization methods at large strains

P. Lenz, R. Mahnken, PAMM (2023), 22(1)

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A Non-Linear Mean-Field Debonding Model at Large Strains for the Analysis of Fibre Kinking in Ud Composites

C. Cheng, C. Song, R. Mahnken, Z. Yuan, L. Yu, X. Ju, 2023

A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations

H. Westermann, R. Mahnken, PAMM (2023), 22(1)

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A finite strain gradient theory for viscoplasticity by means of micromorphic regularization

A. Hamdoun, R. Mahnken, PAMM (2023), 22(1)

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Goal‐oriented adaptivity based on a model hierarchy of mean‐field and full‐field homogenization methods in elasto‐plasticity

A. Tchomgue Simeu, R. Mahnken, PAMM (2023), 22(1)

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2022

Multiscale analysis of composite structures with goal-oriented mesh adaptivity and reduced order homogenization

X. Ju, R. Mahnken, Y. Xu, L. Liang, C. Cheng, W. Zhou, Composite Structures (2022), 115699

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Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters

R. Mahnken, Archive of Applied Mechanics (2022), 92(3), pp. 713-754

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<jats:title>Abstract</jats:title><jats:p>Optimized material parameters obtained from parameter identification for verification wrt a certain loading scenario are amenable to two deficiencies: Firstly, they may lack a general validity for different loading scenarios. Secondly, they may be prone to instability, such that a small perturbation of experimental data may ensue a large perturbation for the material parameters. This paper presents a framework for extension of hyperelastic models for rubber-like materials accounting for both deficiencies. To this end, an additive decomposition of the strain energy function is assumed into a sum of weighted strain mode related quantities. We propose a practical guide for model development accounting for the criteria of verification, validation and stability by means of the strain mode-dependent weighting functions and techniques of model reduction. The approach is successfully applied for 13 hyperelastic models with regard to the classical experimental data on vulcanized rubber published by Treloar (Trans Faraday Soc 40:59–70, 1944), showing both excellent fitting capabilties and stable material parameters.</jats:p>

Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua

X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics (2022), 69(3), pp. 847-863

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Physics informed neural networks for continuum micromechanics

A. Henkes, H. Wessels, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2022), 393, 114790

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A statistically based strain energy function for polymer chains in rubber elasticity

R. Mahnken, J. Mirzapour, Archive of Applied Mechanics (2022), 92(11), pp. 3295-3323

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Effects on Process Forces of Individual Milling Tool Edges Depending on the Cutting Angle and Cutting Speed When Milling Cfrp

R. Clemens, E. Barth, E. Uhlmann, Y. Zhan, I. Caylak, R. Mahnken, SSRN Electronic Journal (2022)

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NTFA-enabled goal-oriented adaptive space–time finite elements for micro-heterogeneous elastoplasticity problems

X. Ju, R. Mahnken, Y. Xu, L. Liang, Computer Methods in Applied Mechanics and Engineering (2022), 398, 115199

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A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics

E. Penner, I. Caylak, R. Mahnken, Mathematics and Mechanics of Complex Systems (2022), 10(1), pp. 21-50

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New low order Runge–Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction

R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2022), 401, 115553

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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 (2022)

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https://doi.org/10.1002/srin.202100346 [Titel anhand dieser DOI in Citavi-Projekt übernehmen]

2021

Hybridprofile für Trag- und Crashstrukturen

W. Drossel, M. Bobbert, M. Böhme, C. Dammann, A. Dittes, M. Gießmann, C. Hühne, J. Ihlemann, R. Kießling, T. Lampke, P. Lenz, R. Mahnken, G. Meschut, R. Müller, M. Nier, R. Prussak, M. Riemer, S. Sander, M. Schaper, I. Scharf, M. Scholze, S. Schwöbel, S. Sharafiev, M. Sinapius, D. Stefaniak, T. Tröster, M.F.-. Wagner, Z. Wang, C. Zinn, in: Intrinsische Hybridverbunde für Leichtbautragstrukturen, 2021

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Constitutive modeling of viscoplasticity including phase transformations for graded thermo‐mechanical processing

H. Westermann, A. Reitz, R. Mahnken, O. Grydin, M. Schaper, PAMM (2021)

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

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

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

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

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Constitutive modeling of dynamic recrystallization coupled to viscoplasticity

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

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A deep learning driven uncertain full‐field homogenization method

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

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

R. Mahnken, H. Westermann, International Journal of Plasticity (2021), 102988

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Fuzzy and stochastic approach applied to rubber like materials

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

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On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains

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

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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, 109209

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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 general framework for mean-field homogenization of multi-layered linear elastic composites subjected to thermal and curing induced strains

P. Lenz, R. Mahnken, International Journal of Solids and Structures (2021), 111266

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A nonuniform transformation field analysis for composites with strength difference effects in elastoplasticity

X. Ju, R. Mahnken, Y. Xu, L. Liang, W. Zhou, International Journal of Solids and Structures (2021), 111103

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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), 114070

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A modified Zerilli–Armstrong model as the asymmetric visco-plastic part of a multi-mechanism model for cutting simulations

C. Cheng, R. Mahnken, Archive of Applied Mechanics (2021), pp. 3869-3888

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Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity

X. Ju, R. Mahnken, L. Liang, Y. Xu, Computers & Structures (2021), 106671

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Integral‐type non‐local damage simulation of composites using mean‐field homogenization methods

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

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Physics informed neural networks for continuum micromechanics

A. Henkes, H. Wessels, R. Mahnken, PAMM (2021)

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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), 113439

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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

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

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

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

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

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

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

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Lehrbuch der Technischen Mechanik - Band 2: Elastostatik

R. Mahnken, 2019

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2018

A least squares approach for effective shear properties in an $${{\varvec{n}}}$$ n -layered sphere model

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

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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

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Unschärfe in der Simulation im Kontext von Sicherheitsdiskursen

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

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Transformation strains for bainitic variant evolution in steel

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

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The effective shear modulus for ann-layered composite sphere

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

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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

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Possibilistic and stochastic analysis using for rubber‐like materials

E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018)

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A multivariate stochastic material model with correlated material parameters

E. Penner, I. Caylak, R. Mahnken, PAMM (2018), pp. 67-68

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Shear strength and failure behaviour of laser nano-structured and conventionally pre-treated interfaces in intrinsically manufactured CFRP-steel hybrids

C. Zinn, M. Bobbert, C. Dammann, Z. Wang, T. Tröster, R. Mahnken, G. Meschut, M. Schaper, Composites Part B: Engineering (2018), pp. 173-185

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2017

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

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(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

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Thermo-chemo-mechanical Effective Properties for Homogeneous and Heterogeneous n -Phase Mixtures with Application to Curing

C. Dammann, P. Lenz, R. Mahnken, Procedia CIRP (2017), pp. 51-56

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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

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Effective meso properties for fibre reinforced polymer curing

R. Mahnken, 2017

2016

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)

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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.

Modeling of variant-interaction during bainitic phase transformation

U. Ehlenbröker, R. Mahnken, M. Petersmann, T. Antretter, IOP Conference Series: Materials Science and Engineering (2016), 012016

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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

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

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

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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

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

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

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

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

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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

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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

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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

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An NTFA-based homogenization framework considering softening effects

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

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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

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PC expansion for material parameters using artificial data and statistical methods

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

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

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

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SFEM for rubber-like materials at large deformations

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

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Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik

R. Mahnken, 2016

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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

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Influences of interface and surface pretreatment on the mechanical properties of metal-CFRP hybrid structures manufactured by resin transfer moulding

T. Tröster, M. Schaper, G. Meschut, R. Mahnken, M. Bobbert, C. Lauter, C. Zinn, Z. Wang, C. Dammann, International Journal of Automotive Composites (2016), 2, pp. 272-298

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Intrinsische Herstellung hybrider Strukturkomponenten in einen modifizierte RTM-Prozess

M. Bobbert, C. Dammann, Z. Wang, C. Zinn, R. Mahnken, M. Schaper, T. Tröster, 2016

Laserbehandlung intrinsisch gefertigter Hybride - strukturelle, mechanische und korrosive Eigenschaften

C. Zinn, M. Bobbert, C. Dammann, Z. Wang, M. Schaper, G. Meschut, R. Mahnken, T. Tröster, 2016

Influences of interface and surface pretreatment on the mechanical properties of metal-CFRP hybrid structures manufactured by resin transfer moulding

T. Tröster, M. Schaper, G. Meschut, R. Mahnken, M. Bobbert, C. Lauter, C. Zinn, Z. Wang, C. Dammann, International Journal of Automotive Composites (2016), 272

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2015

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

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Comparison of hyperelastic micromorphic, micropolar and microstrain continua

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

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MESOSCOPIC MODELING OF THE RTM PROCESS FOR HOMOGENIZATION

R. Mahnken, C. Dammann, 2015

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https://upcommons.upc.edu/handle/2117/191290

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

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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

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Uncertainty quantification for linear elastic bodies with two fluctuating input parameters

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

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

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

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Transition from hyperelastic micromorphic to micropolar and microstrain continua

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

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Non-linear Stochastic Finite Element

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

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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

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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

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

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

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Parameter identification for rubber materials with artificial spatially distributed data

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

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Intrinsische Herstellung hybrider Strukturkomponenten in einem modifizierten RTM-Prozess

M. Bobbert, C. Dammann, Z. Wang, C. Zinn, R. Mahnken, G. Meschut, M. Schaper, T. Tröster, 2015

2014

Approximation of the dual problem for error estimation in inelastic problems

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

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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

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

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

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Experimental Investigation of PC-Films Using Optical Measurements

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

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<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>

Self-Reinforced Thermoplastic Composites - Composite Materials (Part 1)

H.. Heim, A.. Ries, V. Sch {\ "o} ppner, A.. Wibbeke,, S.. Turek, .H. Damanik, R. Mahnken, C.. Dammann, .O. W {\ "u} nsch, A. Al-Baldawi, .B.{.o.r. Rohde, A. Br {\ "u} ckner-Foit, J.{.u.r. Gausemeier, .I. Gr { \ "a} {\ ss} ler, M. Petersen, Kunststoffe international} (2014), 104, pp. 31-35

Abstract

With self-reinforced thermoplastics, it is possible to produce composite systems that, unlike traditional fiber composite materials, do not contain any foreign fibers for reinforcement. Instead, thermoplastic fibers or tapes, for example made of PP or PE, are used in an identical matrix. This opens up a high potential for lightweight construction and, at the same time, very good recyclability.

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

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On the simulation of strain induced anisotropy for polymers

C. Dammann, R. Mahnken, 2014

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Parameter identification for rubber materials with artificial higher dimensional data

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

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

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

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Self-Reinforced Thermoplastic Composites - Composite Materials (Part 2)

H.. Heim, A.. Ries, V. Sch {\ "o} ppner, A.. Wibbeke, S.. Turek, H.. Damanik, R. Mahnken, .C.. Dammann, .O.. W {\ "u} nsch, A.. Al-Baldawi, B.{.o.r.. Rohde, A. Br {\ "u} ckner-Foit, J.{.u.r. Gausemeier, .I.. Gr { \ "a} {\ ss} ler, M. Petersen, Kunststoffe international (2014)

Abstract

Based on research results from the Collaborative Research Center Transregio 30, it is shown how composites made of self-reinforced, partially crystalline or highly stretched amorphous foils and fabrics for lightweight construction applications can be produced and which properties can be achieved. A locally differential, thermo-mechanical process control can be varied very efficiently, and thus graded properties can be set in the sense of functionalization.

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

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

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Prof. Dr.-Ing. habil. Rolf Mahnken wurde im November 2002 auf den Lehrstuhl für Technische Mechanik der Fakultät für Maschinenbau an der Universität Paderborn berufen.
Nach dem Ingenieurstudium an der Universität Hannover hat er an der Universität Uxbridge, England im Jahre 1986 den Master Abschluss im Fach Numerical Analysis erworben. Von 1986 bis 1997 war er als wissenschaftlicher Mitarbeiter an der Universität Hannover und am Division of Solid Mechanics, Chalmers University of Göteborg, Schweden tätig.
In den Jahren 1997-1999 übernahm er eine Vertretungsprofessur für Materialwissenschaft an der Universität Hannover, und war danach in der Abteilung für Berechnung und Entwicklung bei der Firma Alstom in der Schweiz im Gasturbinenbau beschäftigt.
Ein wesentliches Arbeitsgebiet ist die Computersimulation komplexen Materialverhaltens. Simulationsverfahren gewinnen in vielen Bereichen, vom Maschinen- und Fahrzeugbau bis hin zur Mikroelektronik, immer mehr an Bedeutung. Als Beispiel sei der Autocrash im Fahrzeugbau genannt, der bei der Neu- und Weiterentwicklung von Automobilen unumgänglich ist. Berücksichtigt man, dass die im Prüfstand zu Schrott gefahrenen Autos mit hohen Kosten verbundene Einzelanfertigungen sind, so werden durch Simulationsverfahren enorme Kosteneinsparungen für die Firmen möglich.
In der Lehre wird den Studierenden des Grundstudiums das Handwerkszeug für eine sichere Beherrschung der physikalischen Gesetze in Kinematik, Statik und Kinetik bereitgestellt. Im Hauptstudium werden weiterführende Methoden zur Modellierung komplexen Materialverhaltens vermittelt, wobei, unter Ausnutzung der immer noch zunehmenden Leistungsfähigkeiten von Computern, vertiefte Kenntnisse über Simulationsverfahren im Vordergrund stehen. Mit der Verknüpfung von Ausbildung, Simulation, Experiment und Anwendung wird der angehende Ingenieur somit mehrschichtig auf die in der Industrie ständig steigenden Herausforderungen bei der Berechnung von Bauteilen vorbereitet.