TY  - JOUR
A1  - Zhang, Yongzheng
T1  - Nonlocal dynamic Kirchhoff plate formulation based on nonlocal operator method
JF  - Engineering with Computers
N2  - In this study, we propose a nonlocal operator method (NOM) for the dynamic analysis of (thin) Kirchhoff plates. The nonlocal Hessian operator is derived based on a second-order Taylor series expansion. The NOM does not require any shape functions and associated derivatives as ’classical’ approaches such as FEM, drastically facilitating the implementation. Furthermore, NOM is higher order continuous, which is exploited for thin plate analysis that requires C1 continuity. The nonlocal dynamic governing formulation and operator energy functional for Kirchhoff plates are derived from a variational principle. The Verlet-velocity algorithm is used for the time discretization. After confirming the accuracy of the nonlocal Hessian operator, several numerical examples are simulated by the nonlocal dynamic Kirchhoff plate formulation.
KW  - Angewandte Mathematik
KW  - nonlocal operator method
KW  - nonlocal Hessian operator
KW  - operator energy functional
KW  - dual-support
KW  - variational principle
Y1  - 2022
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220209-45849
UR  - https://link.springer.com/article/10.1007/s00366-021-01587-1
VL  - 2022
SP  - 1
EP  - 35
PB  - Springer
CY  - London
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  - 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  - Achenbach, Marcus
A1  - Lahmer, Tom
A1  - Morgenthal, Guido
T1  - Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire - A Comparison of Methods
JF  - 14th International Probabilistic Workshop
N2  - Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire—A Comparison of Methods
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2017
SP  - 97
EP  - 106
ER  - 
TY  - JOUR
A1  - Göbel, Luise
A1  - Lahmer, Tom
A1  - Osburg, Andrea
T1  - Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics
JF  - European Journal of Mechanics-A/Solids
N2  - Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2017
ER  - 
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  - 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  - 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  - 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  - Ghorashi, Seyed Shahram
A1  - Lahmer, Tom
A1  - Bagherzadeh, Amir Saboor
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials
JF  - Engineering Geology
N2  - A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
ER  -