Experimental investigations of uniaxial and biaxial cold stretching within PCfilms and bars using optical measurements
A. Hamdoun, R. Mahnken, PAMM (2024).

Multiscale simulation of polymer curing of composites combined mean-field homogenisation methods at large strains
P. Lenz, R. Mahnken, International Journal of Solids and Structures 290 (2024).

Construction of A-stable explicit last-stage diagonal implicit Runge–Kutta (ELDIRK) methods
R. Mahnken, H. Westermann, Computational Mechanics (2024).

A large deformation gradient theory for glassy polymers by means of micromorphic regularization
A. Hamdoun, R. Mahnken, Archive of Applied Mechanics 94 (2024) 1221–1242.

Uniaxial and biaxial experimental investigation of glassy polymers
A. Hamdoun, R. Mahnken, Polymer 299 (2024).

Experimental investigations of uniaxial and biaxial cold stretching within PCfilms and bars using optical measurements
A. Hamdoun, R. Mahnken, PAMM (2024).

Experimental Investigations of Carbon Fiber Reinforced Polymer Composites and Their Constituents to Determine Their Elastic Material Properties and Complementary Inhomogeneous Experiments with Local Strain Considerations
E. Penner, I. Caylak, R. Mahnken, Fibers and Polymers (2023).

Non-local integral-type damage combined to mean-field homogenization methods for composites and its parallel implementation
P. Lenz, R. Mahnken, Composite Structures (2023).

Thermochemomechanical modelling of a curing process combined with meanfield homogenization methods at large strains
P. Lenz, R. Mahnken, PAMM 22 (2023).

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 phasefield approach considering carbide precipitation during phase transformations
H. Westermann, R. Mahnken, PAMM 22 (2023).

A finite strain gradient theory for viscoplasticity by means of micromorphic regularization
A. Hamdoun, R. Mahnken, PAMM 22 (2023).

Goaloriented adaptivity based on a model hierarchy of meanfield and fullfield homogenization methods in elastoplasticity
A. Tchomgue Simeu, R. Mahnken, PAMM 22 (2023).

Derivation of third order Runge–Kutta methods (ELDIRK) by embedding of lower order implicit time integration schemes for local and global error estimation
R. Mahnken, Computational Mechanics (2023).

Mesh- and model adaptivity for elasto-plastic mean-field and full-field homogenization based on downwind  and upwind approximations
A. Tchomgue Simeu, R. Mahnken, in: XI International Conference on Adaptive Modeling and Simulation, CIMNE, 2023.

Numerical investigations of new loworder explicit last stage diagonal implicit Runge–Kutta schemes with the finiteelement method
H. Westermann, R. Mahnken, PAMM 23 (2023).

On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems
H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023).

Multiphase elasto-plastic mean-field homogenisation and its consistent linearisation
P. Lenz, P. Kreutzheide, R. Mahnken, Computers &;amp; Structures 290 (2023).

Downwind and upwind approximations for mesh and model adaptivity of elastoplastic composites
A. Tchomgue Simeu, R. Mahnken, PAMM (2023).

A micropolar model accounting for asymmetric behavior of coldbox sand in relation to tensile and compression tests
A. Börger, R. Mahnken, PAMM (2023).

Polymorphic uncertainty in constitutive modeling of polymer composites at different scales
E. Penner, Polymorphic Uncertainty in Constitutive Modeling of Polymer Composites at Different Scales, Shaker Verlag, 2023.

A finite strain gradient theory for viscoplasticity by means of micromorphic regularization
A. Hamdoun, R. Mahnken, PAMM 22 (2023).

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).

Strain mode-dependent weighting functions in hyperelasticity accounting for verification, validation, and stability of material parameters
R. Mahnken, Archive of Applied Mechanics 92 (2022) 713–754.

Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua
X. Ju, R. Mahnken, Y. Xu, L. Liang, Computational Mechanics 69 (2022) 847–863.

Physics informed neural networks for continuum micromechanics
A. Henkes, H. Wessels, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 393 (2022).

A statistically based strain energy function for polymer chains in rubber elasticity
R. Mahnken, J. Mirzapour, Archive of Applied Mechanics 92 (2022) 3295–3323.

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).

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 398 (2022).

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 10 (2022) 21–50.

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 401 (2022).

Microstructure transformations in a press hardening steel during tailored thermomechanical processing
H. Westermann, A. Reitz, R. Mahnken, M. Schaper, O. Grydin, Steel Research International (2022).

Hybridprofile für Trag- und Crashstrukturen
W.-G. 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.-D. Schwöbel, S. Sharafiev, M. Sinapius, D. Stefaniak, T. Tröster, M.F.-X. Wagner, Z. Wang, C. Zinn, in: Intrinsische Hybridverbunde Für Leichtbautragstrukturen, Berlin, Heidelberg, 2021.

Constitutive modeling of viscoplasticity including phase transformations for graded thermomechanical processing
H. Westermann, A. Reitz, R. Mahnken, O. Grydin, M. Schaper, PAMM (2021).

Damage simulation of thermochemoelastoplastic fibre reinforced composites using meanfield homogenization methods
P. Lenz, R. Mahnken, PAMM (2021).

An uncertainty model for the curing process of transversely fiber reinforced plastics
E. Penner, I. Caylak, R. Mahnken, PAMM (2021).

Constitutive modeling of dynamic recrystallization coupled to viscoplasticity
H. Westermann, R. Mahnken, PAMM (2021).

A deep learning driven uncertain fullfield homogenization method
A. Henkes, I. Caylak, R. Mahnken, PAMM (2021).

A non-equilibrium thermodynamic framework for viscoplasticity incorporating dynamic recrystallization at large strains
R. Mahnken, H. Westermann, International Journal of Plasticity (2021).

Fuzzy and stochastic approach applied to rubber like materials
E. Penner, I. Caylak, R. Mahnken, A. Dridger, Safety and Reliability (2021) 1–19.

On the Thermodynamics of Dynamic Recrystallization for Viscoplasticity at Large Strains
H. Westermann, R. Mahnken, in: 14th WCCM-ECCOMAS Congress, 2021.

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 224 (2021).

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).

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).

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 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) 3869–3888.

Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity
X. Ju, R. Mahnken, L. Liang, Y. Xu, Computers &; Structures (2021).

Integraltype nonlocal damage simulation of composites using meanfield homogenization methods
P. Lenz, R. Mahnken, PAMM (2021).

Physics informed neural networks for continuum micromechanics
A. Henkes, H. Wessels, R. Mahnken, PAMM (2021).

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).

A possibilistic finite element method for sparse data
A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.

"A possibilistic finite element method for sparse data"
A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.

"Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity"
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2019) 297–329.

"Optimization with constraints considering polymorphic uncertainties"
M. Mäck, I. Caylak, P. Edler, S. Freitag, M. Hanss, R. Mahnken, G. Meschke, E. Penner, GAMM-Mitteilungen (2019).

Goaloriented adaptivity based on a model hierarchy of meanfield and fullfield homogenization methods in linear elasticity
R. Mahnken, X. Ju, International Journal for Numerical Methods in Engineering (2019).

Simulation of a resin transfer molding process using a phase field approach within the theory of porous media
C. Dammann, R. Mahnken, Composites Part A: Applied Science and Manufacturing 120 (2019) 147–160.

"Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells"
X. Ju, R. Mahnken, PAMM 19 (n.d.).

"Damage simulation of fiber reinforced composites using mean-field homogenization methods" 
P. Lenz, R. Mahnken, PAMM 19 (2019).

Optimization with constraints considering polymorphic uncertainties
M. Mäck, I. Caylak, P. Edler, S. Freitag, M. Hanss, R. Mahnken, G. Meschke, E. Penner, GAMM-Mitteilungen (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) 99–129.

A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics
I. Caylak, E. Penner, R. Mahnken, PAMM (2019).

Model adaptivity on meanfield and fullfield homogenization methods considering hierarchical unit cells
X. Ju, R. Mahnken, PAMM (2019).

Damage simulation of fiber reinforced composites using meanfield homogenization methods
P. Lenz, R. Mahnken, PAMM (2019).

Lehrbuch der Technischen Mechanik - Band 2: Elastostatik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin, Heidelberg, 2019.

Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics
K.-U. Widany, Adaptive Finite Element Methods for Direct and Inverse Problems in Nonlinear Solid Mechanics, Shaker, 2019.

Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers
C. Damman, Experimental Characterization and Constitutive Modeling of Reinforced Thermoplastic and Thermosetting Polymers, Shaker, 2019.

Adaptive Methods in the Mechanics of Heterogeneous Materials
X. Ju, Adaptive Methods in the Mechanics of Heterogeneous Materials, 2019.

A multi-mechanism model for cutting simulations combining asymmetric effects and gradient phase transformations
C. Cheng, A Multi-Mechanism Model for Cutting Simulations Combining Asymmetric Effects and Gradient Phase Transformations, 2019.

eA coupled phase field/diffusion model for upper and lower bainitic transformationd
M. Düsing, R. Mahnken, International Journal of Solids and Structures 135 (2018) 172–183.

"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) 2081–2099.

"Sequential biaxial stretching of polycarbonate-films for characterization of strain-induced anisotropy"
C. Dammann, I. Caylak, R. Mahnken, GAMM-Mitteilungen (2018).

A multivariate stochastic material model with correlated material parameters
E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.

"Error-controlled homogenization for a class of linear elastic composite problems"
X. Ju, R. Mahnken, PAMM (2018) 601–602.

"A coupled phase transformation and solute diffusion model for bainitic transformation"
M. Düsing, R. Mahnken, PAMM (2018) 505–506.

"A fuzzy finite element method for sparse experimental data based on a possibilistic approach"
A. Dridger, I. Caylak, R. Mahnken, PAMM (2018) 55–56.

"Goal-oriented adaptivity for parameter identification in linear micromorphic elasticity"
X. Ju, R. Mahnken, PAMM (2018).

Goal-oriented adaptivity for linear elastic micromorphic continua based on primal and adjoint consistency analysis
X. Ju, R. Mahnken, International Journal for Numerical Methods in Engineering (2018) 472–473.

"Stochastic hyperelastic modeling considering dependency of material parameters"
I. Caylak, A. Dridger, R. Mahnken, Computational Mechanics 62 (2018) 1273–1285.

eGoal-oriented adaptivity on mean-field and full-field homogenization methods with a view to hierarchical unit cellsc
X. Ju, R. Mahnken, in: 31st International Workshop on Research in Mechnanics of Composite, 2018.

eOn the connection between possibility theory and probability box theory in structural mechanicsc
A. Dridger, I. Caylak, R. Mahnken, E. Penner, in: 13th World Congress in Computational Mechanics , 2018.

"Possibilistic and stochastic analysis using for rubber-like materials"
E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).

"A fuzzy-stochastic model for transversely fiber reinforced plastics"
I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).

"Simulation of upper and lower bainitic transformation with a coupled phase field/diffusion/deformation framework"
M. Düsing, R. Mahnken, PAMM 18 (2018).

A coupled phase field/diffusional/mechanical framework for simulation of upper and lower bainitic transformation
M. Düsing, R. Mahnken, International Journal of Solids and Structures 162 (2018) 45–59.

On the connection between possibility theory and probability box theory in structural mechanics
A. Dridger, I. Caylak, R. Mahnken, E. Penner, in: 13th World Congress in Computational Mechanics , 2018.

Stochastic hyperelastic modeling considering dependency of material parameters
I. Caylak, E. Penner, A. Dridger, R. Mahnken, Computational Mechanics (2018) 1273–1285.

A fuzzystochastic model for transversely fiber reinforced plastics
I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).

A least squares approach for effective shear properties in an                                                                   $$\'76arvecn$$                                                                            n                                                                    -layered sphere model
R. Mahnken, P. Lenz, C. Dammann, Archive of Applied Mechanics (2018) 2081–2099.

Derivation of an n-layered composite sphere model for thermo-chemo-mechanical effective properties
C. Dammann, R. Mahnken, P. Lenz, PAMM (2018) 581–582.

Unschärfe in der Simulation im Kontext von Sicherheitsdiskursen
A. Dridger, R. Mahnken, in: Wissenschaft Im Angesichtf»großer Gesellschaftlicher Herausforderungen«, 2018.

Transformation strains for bainitic variant evolution in steel
U. Ehlenbröker, M. Petersmann, T. Antretter, R. Mahnken, PAMM (2018) 587–588.

The effective shear modulus for ann-layered composite sphere
P. Lenz, C. Dammann, R. Mahnken, PAMM (2018) 609–610.

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) 1–17.

Possibilistic and stochastic analysis using for rubberlike materials
E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).

A multivariate stochastic material model with correlated material parameters
E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.

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) 173–185.

"A variational formulation for fuzzy analysis in continuum mechanics"
R. Mahnken, Mathematics and Mechanics of Complex Systems 5 (2017).

,,Identification of Material Parameters for Constitutive Equations c
R. Mahnken, in: E. Stein, R. de Borst, T.J.R. Hughes (Eds.), Encyclopedia of Computational Mechanics, 2nd ed., John Wiley &; Sons, 2017, p. 1165.

"A POSSIBILISTIC APPROACH FOR LINEAR ISOTROPIC ELASTICITY USING THE FUZZY FINITE ELEMENT METHOD"
A. Dridger, I. Caylak, R. Mahnken, in: Proceedings of the 2nd International Conference on Uncertainty Quantification in Computational Sciences and Engineering (UNCECOMP 2017), 2017.

"A coupled phase field/diffusion model for upper and lower bainitic transformation"
M. Düsing, R. Mahnken, International Journal of Solids and Structures (2017) 172–183.