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## 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
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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 507 times in 270 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 376 Authors

 26 Du, Qiang 14 Gunzburger, Max D. 12 Mengesha, Tadele 12 Silling, Stewart A. 10 Foster, John T. jun. 9 Ju, Lili 9 Li, Shaofan 9 Lipton, Robert P. 9 Tian, Xiaochuan 8 Bobaru, Florin 7 Weckner, Olaf 6 Lehoucq, Richard B. 6 Oterkus, Selda 6 Zhou, Xiaoping 5 Aksoylu, Burak 5 Jha, Prashant K. 5 Madenci, Erdogan 5 Scott, James M. 5 Seleson, Pablo 5 Tian, Hao 5 Xu, Jifeng 4 Askari, Ebrahim 4 Galvanetto, Ugo 4 Gu, Xin 4 Ni, Tao 4 Parks, Michael L. 4 Qiao, Pizhong 4 Wang, Hong 4 You, Huaiqian 4 Yu, Yue 4 Zaccariotto, Mirco 4 Zhu, Qi-Zhi 3 Alali, Bacim 3 Bellido, José Carlos 3 Celiker, Fatih 3 Coombs, William M. 3 Epton, Michael A. 3 Fang, Guodong 3 Fu, Maoqing 3 Ha, Youn Doh 3 Hattori, Gabriel 3 Hong, Jung-Wuk 3 Hu, Ping 3 Katiyar, Amit 3 Liang, Jun 3 Liu, Shuo 3 Liu, Wenyang 3 Oterkus, Erkan 3 Ouchi, Hisanao 3 Placidi, Luca 3 Rabczuk, Timon 3 Roy, Pranesh 3 Sharma, Mukul M. 3 Shen, Guozhe 3 Shojaei, Arman 3 Tao, Yunzhe 3 Trask, Nathaniel A. 3 Wang, Linjuan 3 Weißenfels, Christian 3 Wriggers, Peter 3 Xia, Yang 3 Yang, Jiang 3 Zhang, Aman 3 Zhang, Heng 3 Zhang, Hongwu 3 Zhang, Jiwei 3 Zhang, Qing 3 Zhang, Xiaoping 3 Zheng, Chunxiong 3 Zheng, Guojun 3 Zheng, Yonggang 3 Zhou, Kun 2 Abeyaratne, Rohan C. 2 Aguiar, Adair Roberto 2 Askari, Abe 2 Augarde, Charles Edward 2 Bergel, Guy L. 2 Bessa, Miguel A. 2 Beyer, Horst Reinhard 2 Bhowmik, Samir Kumar 2 Bie, Y. H. 2 Burkardt, John V. 2 Buryachenko, Valeriy A. 2 Butt, Sahir N. 2 Chen, Hailong 2 Coclite, Giuseppe Maria 2 Cui, Hao 2 Dayal, Kaushik 2 D’Elia, Marta 2 Emmrich, Etienne 2 Erkip, Albert Kohen 2 Fish, Jacob 2 Fuschi, Paolo 2 Gao, Yan 2 Ghosh, Somnath 2 Guan, Qingguang 2 Han, Fei 2 He, Xiaoqiao 2 Huang, Zaixing 2 Javili, Ali ...and 276 more Authors
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#### Cited in 66 Serials

 72 Computer Methods in Applied Mechanics and Engineering 20 Computational Mechanics 18 Journal of Elasticity 16 Mathematics and Mechanics of Solids 11 Journal of Computational Physics 10 Engineering Analysis with Boundary Elements 7 Journal of the Mechanics and Physics of Solids 7 European Journal of Mechanics. A. Solids 6 Applied Mathematics and Computation 6 International Journal for Numerical Methods in Engineering 5 Computers & Mathematics with Applications 4 Multiscale Modeling & Simulation 3 Acta Mechanica 3 International Journal of Engineering Science 3 SIAM Journal on Numerical Analysis 3 Journal of Scientific Computing 3 Discrete and Continuous Dynamical Systems. Series B 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 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 Journal of Differential Equations 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 Applied Mathematical Modelling 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 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 24 Fields

 210 Mechanics of deformable solids (74-XX) 76 Numerical analysis (65-XX) 49 Partial differential equations (35-XX) 38 Integral equations (45-XX) 21 Fluid mechanics (76-XX) 13 Functional analysis (46-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-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 Statistics (62-XX)