31 Publications

Mark all

[31]
2019 | Book | LibreCat-ID: 19326
Lehrbuch der Technischen Mechanik - Band 2: Elastostatik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin, Heidelberg, 2019.
LibreCat | DOI
 
[30]
2019 | Journal Article | LibreCat-ID: 19120 LibreCat | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 19119
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 | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 19424 LibreCat | DOI
 
[27]
2019 | Journal Article | LibreCat-ID: 19122
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 | DOI
 
[26]
2018 | Journal Article | LibreCat-ID: 19307
A multivariate stochastic material model with correlated material parameters
E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.
LibreCat | DOI
 
[25]
2018 | Journal Article | LibreCat-ID: 19124
Possibilistic and stochastic analysis using for rubber‐like materials
E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).
LibreCat | DOI
 
[24]
2018 | Journal Article | LibreCat-ID: 19125
A fuzzy‐stochastic model for transversely fiber reinforced plastics
I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).
LibreCat | DOI
 
[23]
2018 | Journal Article | LibreCat-ID: 19126 LibreCat | DOI
 
[22]
2018 | Journal Article | LibreCat-ID: 19115
Stochastic hyperelastic modeling considering dependency of material parameters
I. Caylak, E. Penner, A. Dridger, R. Mahnken, Computational Mechanics (2018) 1273–1285.
LibreCat | DOI
 
[21]
2018 | Journal Article | LibreCat-ID: 19123 LibreCat | DOI
 
[20]
2018 | Journal Article | LibreCat-ID: 19426
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) 2081–2099.
LibreCat | DOI
 
[19]
2017 | Journal Article | LibreCat-ID: 19423
(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) 295–322.
LibreCat | DOI
 
[18]
2017 | Conference Paper | LibreCat-ID: 19309
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.
LibreCat | DOI
 
[17]
2016 | Journal Article | LibreCat-ID: 19117
A linear elastic Fuzzy Finite Element Method with two fuzzy input parameters
A. Dridger, I. Caylak, R. Mahnken, PAMM (2016) 667–668.
LibreCat | DOI
 
[16]
2016 | Book | LibreCat-ID: 19327
Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 1: Starrkörperstatik, Berlin, Heidelberg, 2016.
LibreCat | DOI
 
[15]
2016 | Journal Article | LibreCat-ID: 19127
SFEM for rubber-like materials at large deformations
E. Penner, I. Caylak, N. Nörenberg, R. Mahnken, PAMM (2016) 675–676.
LibreCat | DOI
 
[14]
2016 | Journal Article | LibreCat-ID: 19128
PC expansion for material parameters using artificial data and statistical methods
I. Caylak, N. Nörenberg, R. Mahnken, PAMM (2016) 191–192.
LibreCat | DOI
 
[13]
2015 | Journal Article | LibreCat-ID: 19131
Non-linear Stochastic Finite Element
I. Caylak, A. Dridger, R. Mahnken, PAMM (2015) 179–180.
LibreCat | DOI
 
[12]
2015 | Journal Article | LibreCat-ID: 19134
Uncertainty quantification for linear elastic bodies with two fluctuating input parameters
A. Dridger, I. Caylak, R. Mahnken, PAMM (2015) 551–552.
LibreCat | DOI
 
[11]
2014 | Journal Article | LibreCat-ID: 19116
Stabilized mixed triangular elements with area bubble functions at small and large deformations
I. Caylak, R. Mahnken, Computers & Structures (2014) 172–182.
LibreCat | DOI
 
[10]
2012 | Journal Article | LibreCat-ID: 19132
Modeling of induced anisotropy at large deformations for polymers
I. Caylak, R. Mahnken, PAMM (2012) 319–320.
LibreCat | DOI
 
[9]
2011 | Journal Article | LibreCat-ID: 19129
Stabilized mixed triangular finite elements at large deformations using area bubble functions
I. Caylak, R. Mahnken, K.-U. Widany, PAMM (2011) 201–202.
LibreCat | DOI
 
[8]
2011 | Journal Article | LibreCat-ID: 19113
Stabilization of mixed tetrahedral elements at large deformations
I. Caylak, R. Mahnken, International Journal for Numerical Methods in Engineering (2011) 218–242.
LibreCat | DOI
 
[7]
2011 | Book Chapter | LibreCat-ID: 19133
Optical Measurements for a Cold-Box Sand and Aspects of Direct and Inverse Problems for Micropolar Elasto-Plasticity
R. Mahnken, I. Caylak, in: Advances in Extended and Multifield Theories for Continua, Berlin, Heidelberg, 2011.
LibreCat | DOI
 
[6]
2011 | Book | LibreCat-ID: 19328
Lehrbuch der Technischen Mechanik - Dynamik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Dynamik, Berlin, Heidelberg, 2011.
LibreCat | DOI
 
[5]
2010 | Journal Article | LibreCat-ID: 19118
Stabilized Mixed Tetrahedrals with Volume and Area Bubble Functions at Large Deformations
K.-U. Widany, I. Caylak, R. Mahnken, PAMM (2010) 227–228.
LibreCat | DOI
 
[4]
2010 | Journal Article | LibreCat-ID: 19138
Thermomechanical characterisation of cold box sand including optical measurements
I. Caylak, R. Mahnken, International Journal of Cast Metals Research (2010) 176–184.
LibreCat | DOI
 
[3]
2008 | Journal Article | LibreCat-ID: 19130 LibreCat | DOI
 
[2]
2007 | Journal Article | LibreCat-ID: 19112
Two mixed finite element formulations with area bubble functions for tetrahedral elements
R. Mahnken, I. Caylak, G. Laschet, Computer Methods in Applied Mechanics and Engineering (2007) 1147–1165.
LibreCat | DOI
 
[1]
2007 | Journal Article | LibreCat-ID: 19114
Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions
R. Mahnken, I. Caylak, International Journal for Numerical Methods in Engineering (2007) 377–413.
LibreCat | DOI
 

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31 Publications

Mark all

[31]
2019 | Book | LibreCat-ID: 19326
Lehrbuch der Technischen Mechanik - Band 2: Elastostatik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 2: Elastostatik, Berlin, Heidelberg, 2019.
LibreCat | DOI
 
[30]
2019 | Journal Article | LibreCat-ID: 19120 LibreCat | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 19119
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 | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 19424 LibreCat | DOI
 
[27]
2019 | Journal Article | LibreCat-ID: 19122
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 | DOI
 
[26]
2018 | Journal Article | LibreCat-ID: 19307
A multivariate stochastic material model with correlated material parameters
E. Penner, I. Caylak, R. Mahnken, PAMM (2018) 67–68.
LibreCat | DOI
 
[25]
2018 | Journal Article | LibreCat-ID: 19124
Possibilistic and stochastic analysis using for rubber‐like materials
E. Penner, I. Caylak, A. Dridger, R. Mahnken, PAMM (2018).
LibreCat | DOI
 
[24]
2018 | Journal Article | LibreCat-ID: 19125
A fuzzy‐stochastic model for transversely fiber reinforced plastics
I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).
LibreCat | DOI
 
[23]
2018 | Journal Article | LibreCat-ID: 19126 LibreCat | DOI
 
[22]
2018 | Journal Article | LibreCat-ID: 19115
Stochastic hyperelastic modeling considering dependency of material parameters
I. Caylak, E. Penner, A. Dridger, R. Mahnken, Computational Mechanics (2018) 1273–1285.
LibreCat | DOI
 
[21]
2018 | Journal Article | LibreCat-ID: 19123 LibreCat | DOI
 
[20]
2018 | Journal Article | LibreCat-ID: 19426
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) 2081–2099.
LibreCat | DOI
 
[19]
2017 | Journal Article | LibreCat-ID: 19423
(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) 295–322.
LibreCat | DOI
 
[18]
2017 | Conference Paper | LibreCat-ID: 19309
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.
LibreCat | DOI
 
[17]
2016 | Journal Article | LibreCat-ID: 19117
A linear elastic Fuzzy Finite Element Method with two fuzzy input parameters
A. Dridger, I. Caylak, R. Mahnken, PAMM (2016) 667–668.
LibreCat | DOI
 
[16]
2016 | Book | LibreCat-ID: 19327
Lehrbuch der Technischen Mechanik - Band 1: Starrkörperstatik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Band 1: Starrkörperstatik, Berlin, Heidelberg, 2016.
LibreCat | DOI
 
[15]
2016 | Journal Article | LibreCat-ID: 19127
SFEM for rubber-like materials at large deformations
E. Penner, I. Caylak, N. Nörenberg, R. Mahnken, PAMM (2016) 675–676.
LibreCat | DOI
 
[14]
2016 | Journal Article | LibreCat-ID: 19128
PC expansion for material parameters using artificial data and statistical methods
I. Caylak, N. Nörenberg, R. Mahnken, PAMM (2016) 191–192.
LibreCat | DOI
 
[13]
2015 | Journal Article | LibreCat-ID: 19131
Non-linear Stochastic Finite Element
I. Caylak, A. Dridger, R. Mahnken, PAMM (2015) 179–180.
LibreCat | DOI
 
[12]
2015 | Journal Article | LibreCat-ID: 19134
Uncertainty quantification for linear elastic bodies with two fluctuating input parameters
A. Dridger, I. Caylak, R. Mahnken, PAMM (2015) 551–552.
LibreCat | DOI
 
[11]
2014 | Journal Article | LibreCat-ID: 19116
Stabilized mixed triangular elements with area bubble functions at small and large deformations
I. Caylak, R. Mahnken, Computers & Structures (2014) 172–182.
LibreCat | DOI
 
[10]
2012 | Journal Article | LibreCat-ID: 19132
Modeling of induced anisotropy at large deformations for polymers
I. Caylak, R. Mahnken, PAMM (2012) 319–320.
LibreCat | DOI
 
[9]
2011 | Journal Article | LibreCat-ID: 19129
Stabilized mixed triangular finite elements at large deformations using area bubble functions
I. Caylak, R. Mahnken, K.-U. Widany, PAMM (2011) 201–202.
LibreCat | DOI
 
[8]
2011 | Journal Article | LibreCat-ID: 19113
Stabilization of mixed tetrahedral elements at large deformations
I. Caylak, R. Mahnken, International Journal for Numerical Methods in Engineering (2011) 218–242.
LibreCat | DOI
 
[7]
2011 | Book Chapter | LibreCat-ID: 19133
Optical Measurements for a Cold-Box Sand and Aspects of Direct and Inverse Problems for Micropolar Elasto-Plasticity
R. Mahnken, I. Caylak, in: Advances in Extended and Multifield Theories for Continua, Berlin, Heidelberg, 2011.
LibreCat | DOI
 
[6]
2011 | Book | LibreCat-ID: 19328
Lehrbuch der Technischen Mechanik - Dynamik
R. Mahnken, Lehrbuch Der Technischen Mechanik - Dynamik, Berlin, Heidelberg, 2011.
LibreCat | DOI
 
[5]
2010 | Journal Article | LibreCat-ID: 19118
Stabilized Mixed Tetrahedrals with Volume and Area Bubble Functions at Large Deformations
K.-U. Widany, I. Caylak, R. Mahnken, PAMM (2010) 227–228.
LibreCat | DOI
 
[4]
2010 | Journal Article | LibreCat-ID: 19138
Thermomechanical characterisation of cold box sand including optical measurements
I. Caylak, R. Mahnken, International Journal of Cast Metals Research (2010) 176–184.
LibreCat | DOI
 
[3]
2008 | Journal Article | LibreCat-ID: 19130 LibreCat | DOI
 
[2]
2007 | Journal Article | LibreCat-ID: 19112
Two mixed finite element formulations with area bubble functions for tetrahedral elements
R. Mahnken, I. Caylak, G. Laschet, Computer Methods in Applied Mechanics and Engineering (2007) 1147–1165.
LibreCat | DOI
 
[1]
2007 | Journal Article | LibreCat-ID: 19114
Stabilization of bi‐linear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions
R. Mahnken, I. Caylak, International Journal for Numerical Methods in Engineering (2007) 377–413.
LibreCat | DOI
 

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