35 Publications

Mark all

[35]
2022 | Journal Article | LibreCat-ID: 34075
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.
LibreCat | DOI
 
[34]
2021 | Journal Article | LibreCat-ID: 24392 LibreCat | DOI
 
[33]
2021 | Journal Article | LibreCat-ID: 24397
A deep learning driven uncertain full‐field homogenization method
A. Henkes, I. Caylak, R. Mahnken, PAMM (2021).
LibreCat | DOI
 
[32]
2021 | Journal Article | LibreCat-ID: 24376
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 | DOI
 
[31]
2021 | Journal Article | LibreCat-ID: 21681
Fuzzy and stochastic approach applied to rubber like materials
E. Penner, I. Caylak, R. Mahnken, A. Dridger, Safety and Reliability (2021) 1–19.
LibreCat | DOI
 
[30]
2020 | Journal Article | LibreCat-ID: 24374
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 | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 19120 LibreCat | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 19297
A possibilistic finite element method for sparse data
A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.
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]
2019 | Journal Article | LibreCat-ID: 19300
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
 
[25]
2018 | Conference Paper | LibreCat-ID: 19306
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.
LibreCat
 
[24]
2018 | Journal Article | LibreCat-ID: 19308
Stochastic hyperelastic modeling considering dependency of material parameters
I. Caylak, E. Penner, A. Dridger, R. Mahnken, Computational Mechanics (2018) 1273–1285.
LibreCat | DOI
 
[23]
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
 
[22]
2018 | Journal Article | LibreCat-ID: 19303
A fuzzy‐stochastic model for transversely fiber reinforced plastics
I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).
LibreCat | DOI
 
[21]
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
 
[20]
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
 
[19]
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
 
[18]
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
 
[17]
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
 
[16]
2016 | Journal Article | LibreCat-ID: 24644
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).
LibreCat | DOI
 
[15]
2015 | Journal Article | LibreCat-ID: 19131
Non-linear Stochastic Finite Element
I. Caylak, A. Dridger, R. Mahnken, PAMM (2015) 179–180.
LibreCat | DOI
 
[14]
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
 
[13]
2014 | Journal Article | LibreCat-ID: 24707
Experimental Investigation of PC-Films Using Optical Measurements
C. Dammann, I. Caylak, R. Mahnken, International Polymer Processing (2014) 260–271.
LibreCat | DOI
 
[12]
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
 
[11]
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
 
[10]
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
 
[9]
2011 | Dissertation | LibreCat-ID: 19187
Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions
I. Caylak, Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions, Shaker, 2011.
LibreCat
 
[8]
2011 | Journal Article | LibreCat-ID: 25088
Mixed finite element formulations with volume bubble functions for triangular elements
I. Caylak, R. Mahnken, Computers & Structures (2011) 1844–1851.
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 | 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
 
[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: 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
 
[1]
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
 

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35 Publications

Mark all

[35]
2022 | Journal Article | LibreCat-ID: 34075
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.
LibreCat | DOI
 
[34]
2021 | Journal Article | LibreCat-ID: 24392 LibreCat | DOI
 
[33]
2021 | Journal Article | LibreCat-ID: 24397
A deep learning driven uncertain full‐field homogenization method
A. Henkes, I. Caylak, R. Mahnken, PAMM (2021).
LibreCat | DOI
 
[32]
2021 | Journal Article | LibreCat-ID: 24376
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 | DOI
 
[31]
2021 | Journal Article | LibreCat-ID: 21681
Fuzzy and stochastic approach applied to rubber like materials
E. Penner, I. Caylak, R. Mahnken, A. Dridger, Safety and Reliability (2021) 1–19.
LibreCat | DOI
 
[30]
2020 | Journal Article | LibreCat-ID: 24374
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 | DOI
 
[29]
2019 | Journal Article | LibreCat-ID: 19120 LibreCat | DOI
 
[28]
2019 | Journal Article | LibreCat-ID: 19297
A possibilistic finite element method for sparse data
A. Dridger, I. Caylak, R. Mahnken, E. Penner, Safety and Reliability (2019) 58–82.
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]
2019 | Journal Article | LibreCat-ID: 19300
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
 
[25]
2018 | Conference Paper | LibreCat-ID: 19306
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.
LibreCat
 
[24]
2018 | Journal Article | LibreCat-ID: 19308
Stochastic hyperelastic modeling considering dependency of material parameters
I. Caylak, E. Penner, A. Dridger, R. Mahnken, Computational Mechanics (2018) 1273–1285.
LibreCat | DOI
 
[23]
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
 
[22]
2018 | Journal Article | LibreCat-ID: 19303
A fuzzy‐stochastic model for transversely fiber reinforced plastics
I. Caylak, E. Penner, A. Dridger, R. Mahnken, PAMM (2018).
LibreCat | DOI
 
[21]
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
 
[20]
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
 
[19]
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
 
[18]
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
 
[17]
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
 
[16]
2016 | Journal Article | LibreCat-ID: 24644
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).
LibreCat | DOI
 
[15]
2015 | Journal Article | LibreCat-ID: 19131
Non-linear Stochastic Finite Element
I. Caylak, A. Dridger, R. Mahnken, PAMM (2015) 179–180.
LibreCat | DOI
 
[14]
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
 
[13]
2014 | Journal Article | LibreCat-ID: 24707
Experimental Investigation of PC-Films Using Optical Measurements
C. Dammann, I. Caylak, R. Mahnken, International Polymer Processing (2014) 260–271.
LibreCat | DOI
 
[12]
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
 
[11]
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
 
[10]
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
 
[9]
2011 | Dissertation | LibreCat-ID: 19187
Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions
I. Caylak, Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions, Shaker, 2011.
LibreCat
 
[8]
2011 | Journal Article | LibreCat-ID: 25088
Mixed finite element formulations with volume bubble functions for triangular elements
I. Caylak, R. Mahnken, Computers & Structures (2011) 1844–1851.
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 | 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
 
[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: 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
 
[1]
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
 

Search

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