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Advances in Peridynamics. Yazar: Madenci, Erdogan

İçindekiler: “…14.9 Numerical Results -- 14.9.1 Lamina under Stretch -- 14.9.2 Progressive Failure -- References -- Chapter 15: Coupling of Bond-Based Peridynamics with Finite Elements in ANSYS -- 15.1 Introduction -- 15.2 Coupling Approach -- 15.3 Internal Force Vectors -- 15.4 Discrete Form of PD Force Vectors -- 15.4.1 Force Vector for BB Interaction -- 15.4.2 Force Vector for PDDO Interaction -- 15.5 Virtual Work in PD Domain due to Internal Forces -- 15.6 Virtual Work in PD Region due to Internal Tractions along the Boundary -- 15.7 Virtual Work in PD Domain due to Inertial Forces -- 15.8 Virtual Work in PD Region due to External Tractions -- 15.9 Virtual Work in PD Region due to Applied Body Loads -- 15.10 Virtual Work in FE Domain due to Internal Forces -- 15.11 Virtual Work in FE Domain due to Inertial Forces -- 15.12 Virtual Work in FE Domain due to Applied External Tractions -- 15.13 Virtual Work in FE Domain due to Applied Body Loads -- 15.14 Assembly of Discretized Coupled PD-FE Equations -- 15.15 ANSYS Implementation with MATRIX27 Element -- 15.15.1 Stiffness Matrix for BB Interactions -- 15.15.2 Stiffness Matrix for PDDO Interactions -- 15.15.3 Stiffness Matrix for PD Internal Tractions along the Boundary -- 15.16 Numerical Results -- 15.16.1 Plate under Quasi-Static Loading -- 15.16.2 Plate under Transient Loading -- References -- Chapter 16: Peridynamics for Physics Informed Neural Network -- 16.1 Introduction -- 16.2 Basics of PINN Framework -- 16.3 Nonlocal PINN Architecture -- 16.4 Governing Equations of Linear Elastic Deformation -- 16.5 Loss Function for Linear Elastic Deformation -- 16.6 Numerical Results -- 16.6.1 Local PINN Results -- 16.6.2 Nonlocal PINN Results -- AD-PDDO-PINN -- PDDO-PINN -- References -- Correction to: Advances in Peridynamics.…”
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