TY  - JOUR
A1  - Zhang, Chao
A1  - Wang, Cuixia
A1  - Lahmer, Tom
A1  - He, Pengfei
A1  - Rabczuk, Timon
T1  - A dynamic XFEM formulation for crack identification
JF  - International Journal of Mechanics and Materials in Design
N2  - A dynamic XFEM formulation for crack identification
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 427
EP  - 448
ER  - 
TY  - JOUR
A1  - Zhang, Chao
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Multiple cracks identification for piezoelectric structures
JF  - International Journal of Fracture
N2  - Multiple cracks identification for piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2017
SP  - 1
EP  - 19
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Silani, Mohammad
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs)
JF  - Computational Materials Science
N2  - A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs)
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
SP  - 520
EP  - 535
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Rafiee, Roham
A1  - Zhuang, Xiaoying
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters
JF  - Composites Part B: Engineering
N2  - Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
SP  - 446
EP  - 464
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
T1  - A software framework for probabilistic sensitivity analysis for computationally expensive models
JF  - Advances in Engineering Software
N2  - A software framework for probabilistic sensitivity analysis for computationally expensive models
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 19
EP  - 31
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Lahmer, Tom
A1  - Zhang, Yancheng
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)
JF  - Composites Part B Engineering
N2  - Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
SP  - 80
EP  - 95
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Lahmer, Tom
A1  - Keitel, Holger
A1  - Zhao, Jun-Hua
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations
JF  - Mechanics of Materials
N2  - Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
SP  - 70
EP  - 84
ER  - 
TY  - THES
A1  - von Butler, Natalie
T1  - Scalarization Methods for Multi-Objective Structural Optimization
N2  - Scalarization methods are a category of multiobjective optimization (MOO) methods. These methods allow the usage of conventional single objective optimization algorithms, as scalarization methods reformulate the MOO problem into a single objective optimization problem. The scalarization methods analysed within this thesis are the Weighted Sum (WS), the Epsilon-Constraint (EC), and the MinMax (MM) method. After explaining the approach of each method, the WS, EC and MM are applied, a-posteriori, to three different examples: to the Kursawe function; to the ten bar truss, a common benchmark problem in structural optimization; and to the metamodel of an aero engine exit module. 
The aim is to evaluate and compare the performance of each scalarization method that is examined within this thesis. The evaluation is conducted using performance metrics, such as the hypervolume and the generational distance, as well as using visual comparison. 
The application to the three examples gives insight into the advantages and disadvantages of each method, and provides further understanding of an adequate application of the methods concerning high dimensional optimization problems.
KW  - Mehrkriterielle Optimierung
KW  - Gestaltoptimierung
KW  - Multiobjective Optimization
KW  - Structural Optimization
KW  - Scalarization Methods
Y1  - 2019
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20191030-40106
ER  - 
TY  - JOUR
A1  - Stein, Peter
A1  - Lahmer, Tom
A1  - Bock, Sebastian
T1  - Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau
BT  - Sonderdruck‐DFG Graduiertenkolleg
JF  - Bautechnik
N2  - Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2011
SP  - 8
EP  - 11
ER  - 
TY  - JOUR
A1  - Nguyen-Vinh, H.
A1  - Bakar, I.
A1  - Msekh, Mohammed Abdulrazzak
A1  - Song, Jeong-Hoon
A1  - Muthu, Jacob
A1  - Zi, Goangseup
A1  - Le, P.
A1  - Bordas, Stéphane Pierre Alain
A1  - Simpson, R.
A1  - Natarajan, S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Extended Finite Element Method for Dynamic Fracture of Piezo-Electric Materials
JF  - Engineering Fracture Mechanics
N2  - We present an extended finite element formulation for dynamic fracture of piezo-electric materials. The method is developed in the context of linear elastic fracture mechanics. It is applied to mode I and mixed mode-fracture for quasi-steady cracks. An implicit time integration scheme is exploited. The results are compared to results obtained with the boundary element method and show excellent agreement.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.engfracmech.2012.04.025
SP  - 19
EP  - 31
ER  - 
TY  - JOUR
A1  - Nguyen-Tuan, Long
A1  - Lahmer, Tom
A1  - Datcheva, Maria
A1  - Stoimenova, Eugenia
A1  - Schanz, Tom
T1  - A novel parameter identification approach for buffer elements involving complex coupled thermo-hydro-mechanical analyses
JF  - Computers and Geotechnics
N2  - A novel parameter identification approach for buffer elements involving complex coupled thermo-hydro-mechanical analyses
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 23
EP  - 32
ER  - 
TY  - CHAP
A1  - Nguyen-Tuan, Long
A1  - Lahmer, Tom
A1  - Datcheva, Maria
A1  - Stoimenova, Eugenia
A1  - Schanz, Tom
ED  - Gürlebeck, Klaus
ED  - Lahmer, Tom
T1  - PARAMETER IDENTIFICATION APPLYING IN COMPLEX THERMO-HYDRO-MECHANICAL PROBLEMS LIKE THE DESIGN OF BUFFER ELEMENTS
T2  - Digital Proceedings, International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering : July 20 - 22 2015, Bauhaus-University Weimar
N2  - This study contributes to the identification of coupled THM constitutive model parameters via back analysis against information-rich experiments. A sampling based back analysis approach is proposed comprising both the model parameter identification and the assessment of the reliability of identified model parameters. The results obtained in the context of buffer elements indicate that sensitive parameter estimates generally obey the normal distribution. According to the sensitivity of the parameters and the probability distribution of the samples we can provide confidence intervals for the estimated parameters and thus allow a qualitative estimation on the identified parameters which are in future work used as inputs for prognosis computations of buffer elements. These elements play e.g. an important role in the design of nuclear waste repositories.
KW  - Angewandte Informatik
KW  - Angewandte Mathematik
KW  - Building Information Modeling
KW  - Computerunterstütztes Verfahren
KW  - Data, information and knowledge modeling in civil engineering; Function theoretic methods and PDE in engineering sciences; Mathematical methods for (robotics and) computer vision; Numerical modeling in engineering; Optimization in engineering applications
Y1  - 2015
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20170314-28162
SN  - 1611-4086
ER  - 
TY  - JOUR
A1  - Nguyen-Tuan, Long
A1  - Lahmer, Tom
A1  - Datcheva, Maria
A1  - Schanz, Tom
T1  - Global and local sensitivity analyses for coupled thermo‐hydro‐mechanical problems
JF  - International Journal for Numerical and Analytical Methods in Geomechanics
N2  - Global and local sensitivity analyses for coupled thermo‐hydro‐mechanical problems
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
ER  - 
TY  - JOUR
A1  - Nguyen-Tuan, Long
A1  - Könke, Carsten
A1  - Bettzieche, Volker
A1  - Lahmer, Tom
T1  - Numerical modeling and validation for 3D coupled-nonlinear thermo-hydro-mechanical problems in masonry dams
JF  - Computers & Structures
N2  - Numerical modeling and validation for 3D coupled-nonlinear thermo-hydro-mechanical problems in masonry dams
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2017
SP  - 143
EP  - 154
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - Detection of material interfaces using a regularized level set method in piezoelectric structures
JF  - Inverse Problems in Science and Engineering
N2  - Detection of material interfaces using a regularized level set method in piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 153
EP  - 176
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - Detection of material interfaces using a regularized level set method in piezoelectric structures
JF  - Inverse Problems in Science and Engineering
N2  - Detection of material interfaces using a regularized level set method in piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Park, Harold S.
A1  - Rabczuk, Timon
T1  - Topology optimization of piezoelectric nanostructures
JF  - Journal of the Mechanics and Physics of Solids
N2  - Topology optimization of piezoelectric nanostructures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 316
EP  - 335
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
JF  - International Journal for Numerical Methods in Engineering
N2  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 960
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
SP  - 98
EP  - 112
ER  - 
TY  - JOUR
A1  - Marzban, Samira
A1  - Lahmer, Tom
T1  - Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects
JF  - Journal of Statistical Theory and Practice
N2  - Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 589
EP  - 611
ER  -