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).
LibreCat: /record/27774
DOI: 10.1016/j.ijsolstr.2021.111266

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).
LibreCat: /record/29088
DOI: 10.1016/j.ijsolstr.2021.111103

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).
LibreCat: /record/24376
DOI: 10.1016/j.cma.2021.114070

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.
LibreCat: /record/29085
DOI: 10.1007/s00419-021-01982-6

Goal-oriented mesh adaptivity for inverse problems in linear micromorphic elasticity
X. Ju, R. Mahnken, L. Liang, Y. Xu, Computers &; Structures (2021).
LibreCat: /record/29092
DOI: 10.1016/j.compstruc.2021.106671

Integraltype nonlocal damage simulation of composites using meanfield homogenization methods
P. Lenz, R. Mahnken, PAMM (2021).
LibreCat: /record/29090
DOI: 10.1002/pamm.202100081

Physics informed neural networks for continuum micromechanics
A. Henkes, H. Wessels, R. Mahnken, PAMM (2021).
LibreCat: /record/29091
DOI: 10.1002/pamm.202100040

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).
LibreCat: /record/24374
DOI: 10.1016/j.cma.2020.113439

"A possibilistic finite element method for sparse data"
A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.
LibreCat: /record/13431
DOI: 10.1080/09617353.2018.1552477

"Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity"
X. Ju, R. Mahnken, Computer Methods in Applied Mechanics and Engineering (2019) 297–329.
LibreCat: /record/13432
DOI: 10.1016/j.cma.2019.01.031

"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).
LibreCat: /record/13434
DOI: 10.1002/gamm.201900005

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).
LibreCat: /record/13805
DOI: 10.1002/nme.6209

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.
LibreCat: /record/13806
DOI: 10.1016/j.compositesa.2019.02.022

"Goal-oriented adaptivity on mean-field and full-field homogenization methods considering hierarchical unit cells"
X. Ju, R. Mahnken, PAMM 19 (n.d.).
LibreCat: /record/13807

"Damage simulation of fiber reinforced composites using mean-field homogenization methods" 
P. Lenz, R. Mahnken, PAMM 19 (2019).
LibreCat: /record/13813

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.
LibreCat: /record/19122
DOI: 10.2140/memocs.2019.7.99

A fuzzy uncertainty model for analytical and numerical homogenization of transversely fiber reinforced plastics
I. Caylak, E. Penner, R. Mahnken, PAMM (2019).
LibreCat: /record/19120
DOI: 10.1002/pamm.201900356

Model adaptivity on meanfield and fullfield homogenization methods considering hierarchical unit cells
X. Ju, R. Mahnken, PAMM (2019).
LibreCat: /record/24429
DOI: 10.1002/pamm.201900177

Damage simulation of fiber reinforced composites using meanfield homogenization methods
P. Lenz, R. Mahnken, PAMM (2019).
LibreCat: /record/19424
DOI: 10.1002/pamm.201900370

Lehrbuch der Technischen Mechanik - Band 2: Elastostatik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin, Heidelberg, 2019.
LibreCat: /record/19326
DOI: 10.1007/978-3-662-58166-7