## Weckner, Olaf

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 Author ID: weckner.olaf Published as: Weckner, Olaf; Weckner, O. External Links: MGP
 Documents Indexed: 11 Publications since 2005 Co-Authors: 13 Co-Authors with 11 Joint Publications 165 Co-Co-Authors
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### Co-Authors

 0 single-authored 5 Silling, Stewart A. 4 Emmrich, Etienne 3 Askari, Ebrahim 3 Epton, Michael A. 2 Xu, Jifeng 1 Abeyaratne, Rohan C. 1 Askari, Abe 1 Bobaru, Florin 1 Breitenfeld, M. S. 1 Brunk, Gerd 1 Geubelle, Philippe H. 1 Mohamed, Nik Abdullah Nik 1 Warren, Thomas L.
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### Serials

 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Solids and Structures 1 Journal of the Mechanics and Physics of Solids 1 Applied Mathematics and Computation 1 Journal of Elasticity 1 Mathematics and Mechanics of Solids 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Computational and Applied Mechanics 1 Mathematical Modelling and Analysis 1 Communications in Mathematical Sciences 1 International Journal of Fracture
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### Fields

 11 Mechanics of deformable solids (74-XX) 2 Partial differential equations (35-XX) 2 Integral equations (45-XX) 2 Numerical analysis (65-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

11 Publications have been cited 628 times in 340 Documents Cited by Year
Peridynamic states and constitutive modeling. Zbl 1120.74003
Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E.
2007
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098
Emmrich, Etienne; Weckner, Olaf
2007
The effect of long-range forces on the dynamics of a bar. Zbl 1122.74431
Weckner, Olaf; Abeyaratne, Rohan
2005
Crack nucleation in a peridynamic solid. Zbl 1425.74045
Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F.
2010
A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012
Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng
2009
Non-ordinary state-based peridynamic analysis of stationary crack problems. Zbl 1296.74099
Breitenfeld, M. S.; Geubelle, P. H.; Weckner, O.; Silling, S. A.
2014
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
2007
The peridynamic equation and its spatial discretisation. Zbl 1121.65073
Emmrich, E.; Weckner, O.
2007
Numerical simulation of the dynamics of a nonlocal inhomogeneous infinite bar. Zbl 1097.74036
Weckner, O.; Emmrich, E.
2005
Viscoelastic material models in peridynamics. Zbl 1273.74038
Weckner, Olaf; Mohamed, Nik Abdullah Nik
2013
Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018
Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim
2009
Non-ordinary state-based peridynamic analysis of stationary crack problems. Zbl 1296.74099
Breitenfeld, M. S.; Geubelle, P. H.; Weckner, O.; Silling, S. A.
2014
Viscoelastic material models in peridynamics. Zbl 1273.74038
Weckner, Olaf; Mohamed, Nik Abdullah Nik
2013
Crack nucleation in a peridynamic solid. Zbl 1425.74045
Silling, S. A.; Weckner, O.; Askari, E.; Bobaru, F.
2010
A non-ordinary state-based peridynamic method to model solid material deformation and fracture. Zbl 1236.74012
Warren, Thomas L.; Silling, Stewart A.; Askari, Abe; Weckner, Olaf; Epton, Michael A.; Xu, Jifeng
2009
Green’s functions in non-local three-dimensional linear elasticity. Zbl 1186.74018
Weckner, Olaf; Brunk, Gerd; Epton, Michael A.; Silling, Stewart A.; Askari, Ebrahim
2009
Peridynamic states and constitutive modeling. Zbl 1120.74003
Silling, S. A.; Epton, M.; Weckner, O.; Xu, J.; Askari, E.
2007
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity. Zbl 1133.35098
Emmrich, Etienne; Weckner, Olaf
2007
Analysis and numerical approximation of an integro-differential equation modeling non-local effects in linear elasticity. Zbl 1175.74013
Emmrich, Etienne; Weckner, Olaf
2007
The peridynamic equation and its spatial discretisation. Zbl 1121.65073
Emmrich, E.; Weckner, O.
2007
The effect of long-range forces on the dynamics of a bar. Zbl 1122.74431
Weckner, Olaf; Abeyaratne, Rohan
2005
Numerical simulation of the dynamics of a nonlocal inhomogeneous infinite bar. Zbl 1097.74036
Weckner, O.; Emmrich, E.
2005
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### Cited by 483 Authors

 28 Du, Qiang 15 Silling, Stewart A. 14 Gunzburger, Max D. 12 Li, Shaofan 12 Mengesha, Tadele 11 Foster, John T. jun. 11 Tian, Xiaochuan 10 Lipton, Robert P. 10 Zhou, Xiaoping 9 Bobaru, Florin 9 Ju, Lili 9 Madenci, Erdogan 9 Yu, Yue 8 Oterkus, Selda 7 Galvanetto, Ugo 7 Seleson, Pablo 7 Weckner, Olaf 7 You, Huaiqian 7 Zaccariotto, Mirco 6 Lehoucq, Richard B. 6 Rabczuk, Timon 6 Wang, Hong 6 Zhang, Aman 6 Zhang, Jiwei 5 Aksoylu, Burak 5 Gu, Xin 5 Javili, Ali 5 Jha, Prashant K. 5 Ni, Tao 5 Oterkus, Erkan 5 Qiao, Pizhong 5 Ren, Huilong 5 Scott, James M. 5 Tian, Hao 5 Trask, Nathaniel A. 5 Xu, Jifeng 5 Zhuang, Xiaoying 4 Alali, Bacim 4 Askari, Ebrahim 4 D’Elia, Marta 4 Ha, Youn Doh 4 Liu, Wenyang 4 Parks, Michael L. 4 Roy, Debasish 4 Shojaei, Arman 4 Steinmann, Paul 4 Zhang, Heng 4 Zhang, Qing 4 Zheng, Chunxiong 4 Zhou, Kun 4 Zhu, Qizhi 3 Bellido, José Carlos 3 Celiker, Fatih 3 Chen, Hailong 3 Coombs, William M. 3 Epton, Michael A. 3 Fang, Guodong 3 Fu, Maoqing 3 Han, Fei 3 Hattori, Gabriel 3 Hong, Jung-Wuk 3 Hu, Ping 3 Kan, Xingyu 3 Katiyar, Amit 3 Lai, Xin 3 Liang, Jun 3 Liu, Shuo 3 McBride, Andrew T. 3 Ouchi, Hisanao 3 Peng, Yuxiang 3 Placidi, Luca 3 Qian, Qihu 3 Reddy, Junuthula Narasimha 3 Roy, Pranesh 3 Sharma, Mukul M. 3 Shen, Guozhe 3 Sun, Yuqi 3 Tanaka, Satoyuki 3 Tao, Yunzhe 3 Wang, Linjuan 3 Weißenfels, Christian 3 Wriggers, Peter 3 Xia, Yang 3 Yan, Jiale 3 Yang, Jiang 3 Yu, Haitao 3 Zhang, Hongwu 3 Zhang, Xiaobing 3 Zhang, Xiaoping 3 Zheng, Guojun 3 Zheng, Yonggang 2 Abeyaratne, Rohan C. 2 Aguiar, Adair Roberto 2 Askari, Abe 2 Augarde, Charles Edward 2 Behzadinasab, Masoud 2 Bekar, Ali Can 2 Bergel, Guy L. 2 Bessa, Miguel A. 2 Beyer, Horst Reinhard ...and 383 more Authors
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### Cited in 74 Serials

 100 Computer Methods in Applied Mechanics and Engineering 27 Computational Mechanics 18 Journal of Elasticity 17 Mathematics and Mechanics of Solids 16 Journal of Computational Physics 16 Engineering Analysis with Boundary Elements 9 Journal of the Mechanics and Physics of Solids 8 European Journal of Mechanics. A. Solids 6 Acta Mechanica 6 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 6 International Journal for Numerical Methods in Engineering 5 Journal of Scientific Computing 4 Applied Mathematical Modelling 4 Multiscale Modeling & Simulation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 International Journal of Engineering Science 3 SIAM Journal on Numerical Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications on Applied Mathematics and Computation 2 Computer Physics Communications 2 International Journal of Solids and Structures 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Applied Numerical Mathematics 2 Continuum Mechanics and Thermodynamics 2 SIAM Journal on Scientific Computing 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Communications in Contemporary Mathematics 2 Lobachevskii Journal of Mathematics 2 International Journal of Fracture 2 Communications in Computational Physics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 International Journal of Heat and Mass Transfer 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physica A 1 Reports on Mathematical Physics 1 Applied Mathematics and Optimization 1 Calcolo 1 Journal of Differential Equations 1 Meccanica 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 Journal of Integral Equations and Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Physical Review E. Third Series 1 Communications on Pure and Applied Analysis 1 Advances in Difference Equations 1 Numerical Mathematics: Theory, Methods and Applications 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Theoretical Biology 1 East Asian Journal on Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 30 Fields

 265 Mechanics of deformable solids (74-XX) 93 Numerical analysis (65-XX) 54 Partial differential equations (35-XX) 43 Integral equations (45-XX) 38 Fluid mechanics (76-XX) 20 Statistical mechanics, structure of matter (82-XX) 14 Functional analysis (46-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Mechanics of particles and systems (70-XX) 6 Operator theory (47-XX) 6 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 4 Quantum theory (81-XX) 3 Real functions (26-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)