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).

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).