Peridynamic States and Constitutive Modeling

Keywords

Peridynamics, Constitutive equation, Generalization, Deformation (meteorology), Solid mechanics

References

• Peridynamic modeling of plain and reinforced concrete structures.Stewart Silling, Walter Gerstle, Nicolás Sau — 2005
• Linear Vector Spaces and Cartesian TensorsJonathan C. Knowles — 1997
• Elastic Media with Microstructure IIIsaak A. Kunin — 1982
• Nonlocal theory of material mediaD. Rogula — 1982
• Peridynamic 3D models of nanofiber networks and carbon nanotube‐reinforced compositesFlorin Bobaru — 2004
• Elastic Media with Microstructure I: One-Dimensional ModelsIsaak A. Kunin — 1982
• Peridynamic modeling of membranes and fibersStewart Silling, Florin Bobaru — 2004
• The effect of long-range forces on the dynamics of a barOlaf Weckner, Rohan Abeyaratne — 2005
• Peridynamic Modeling of Impact DamageStewart Silling, E. Askari — 2004
• Reformulation of Elasticity Theory for Discontinuities and Long-Range ForcesStewart Silling — 2000
• Peridynamic analysis of damage and failure in composites.E. Askari, Jifeng Xu, Stewart Silling — 2006
• Analysis of Brazed Single-Lap Joints Using the Peridynamics TheoryBahattin Kilic, Erdogan Madenci, Damodar Ambur — 2006
• Peridynamic modeling of concrete structuresWalter Gerstle, Nicolás Sau, Stewart Silling — 2007
• Introduction to the mechanics of a continuous mediumL. E. Malvern — 1969
• A meshfree method based on the peridynamic model of solid mechanicsStewart Silling, E. Askari — 2005
• Kinetics of phase transformations in the peridynamic formulation of continuum mechanicsKaushik Dayal, Kaushik Bhattacharya — 2006
• Deformation of a Peridynamic BarStewart Silling, Markus Zimmermann, Rohan Abeyaratne — 2003
• NUMERICAL SIMULATION OF THE DYNAMICS OF A NONLOCAL, INHOMOGENEOUS, INFINITE BAROlaf Weckner, Etienne Emmrich — 2005
• A Non-Ordinary State-Based Peridynamic Method Using an Isotropic Elastic-Plastic Constitutive Model.Stewart Silling, Thomas L. Warren, Abe Askari — 2007
• Dynamic fracture modeling with a meshfree peridynamic codeS. Silling — 2003

Cited by

• A Peridynamic Approach for Coupled FieldsAbigail Agwai — 2011
• Peridynamic Modeling of Ruptures in BiomembranesKatherine Martin — 2016
• Peridigm summary report : lessons learned in development with agile components.Andrew G. Salinger, John Mitchell, David Littlewood — 2011
• ADAPTIVE REFINEMENT AND MULTISCALEMODELING IN 2D PERIDYNAMICSFlorin Bobaru, Youn Doh Ha — 2011
• Dynamic Brittle Fracture Captured with Peridynamics: Crack Branching Angle & Crack Propagation SpeedYoun Doh Ha, Seonho Cho — 2011
• On the similarity of Peridynamics and Smooth-Particle HydrodynamicsGeorg Ganzenmüller, Stefan Hiermaier, Michael May — 2014
• Peridynamic Simulation of ElectromigrationWalter Gerstle, Stewart Silling, David T. Read — 2008
• An Assessment of Peridynamics for Pre and Post Failure DeformationRichard Becker, R.J. Lucas — 2011
• Coupling of Peridynamics and Finite Element Formulation for Multiscale SimulationsJung-Wuk Hong — 2012
• Peridynamic modeling of damage and fracture in EM windows and domesIbrahim Güven, Brian J. Zelinski — 2015
• Peridynamic theory of solids from the perspective of classical statistical mechanicsRezwanur Rahman, John T. Foster — 2015
• Role of impactor properties on the computational simulation of particle impact damage in transparent ceramic windowsRobert W. Schultz, Ibrahim Güven, Brian J. Zelinski — 2015
• Peridynamic simulation of the effects of coatings, substrate properties, incident angle, and tilt on sand impact damage in transparent ceramic windowsShanna Tune, Robert W. Schultz, Ibrahim Güven — 2015
• A non-local vector calculus,non-local volume-constrained problems,and non-local balance lawsQiang Du, Max Gunzburger, Richard B. Lehoucq — 2013
• On the Determination of a Peridynamic Constant in a Linear Constitutive ModelAdair Roberto Aguiar — 2016
• Parallel simulation of reinforced concrete sructures using peridynamicsNavid Sakhavand — 2011
• Parallel simulation of particle dynamics with application to micropolar peridynamic lattice modeling of reinforced concrete StructuresHossein Honarvar Gheitanbaf — 2013
• A non-ordinary state-based peridynamics formulation for thermoplastic fractureJ. Amani, Erkan Oterkus, P. Areias — 2016
• Fracturing patterns of rock-like materials in compression captured with peridynamicsYoun Doh Ha, Jooeun Lee, Jung‐Wuk Hong — 2015
• Impact fracture analysis enhanced by contact of peridynamic and finite element formulationsJooeun Lee, Wenyang Liu, Jung‐Wuk Hong — 2016

Related papers

• Analytical Solution of the Peridynamic Equation of Motion for a 2-Dimensional Rectangular MembraneZhenghao Yang, Chien‐Ching Ma, Erkan Oterkus — 2022
• Coupling Peridynamic Continuum Mechanics with an Analytical SolutionM. Becker, Gerhard Müller — 2019
• Peridynamic Surface Elasticity Formulation Based on Modified Core–Shell ModelSelda Oterkus, Erkan Oterkus — 2022
• Elastic nanobeam modelled using peridynamics - length scale effectsSimon Bourreau, Hugo Roca, Aylin Ahadi — 2014
• Statistical coarse-graining of molecular dynamics into peridynamics.Stewart Silling, Richard B. Lehoucq — 2007
• A morphing approach to couple state-based peridynamics with classical continuum mechanicsFei Han, Gilles Lubineau, Yan Azdoud — 2016
• Open system peridynamicsEmely Schaller, Ali Javili, Paul Steinmann — 2022
• Overall equilibrium in the coupling of peridynamics and classical continuum mechanicsGreta Ongaro, Pablo Seleson, Ugo Galvanetto — 2021
• A Hybrid Local/Nonlocal Continuum Mechanics Modeling and Simulation of Fracture in Brittle MaterialsYongwei Wang, Fei Han, Gilles Lubineau — 2019