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A Neuro-Finite Element Analysis of Partial Differential Equations of Solid Mechanics


Affiliations
1 Barkatullah University, Bhopal - 462 003, India
2 Advanced Material and Processes Reasearch Institue (CSIR), Bhopal - 462 026, India
3 Government Science and Arts College, Benazir, Bhopal - 462 003, India
 

Numerical analysis of Partial Differential Equations (PDE's) of the solid mechanics using Finite Element Method (FEM) is very popular. One issue which is haunting the finite element solution is the computer time. Finite Element Analysis (FEA) using fine mesh and large number of nodes consumes lot of solution time. To overcome this difficulty, a hybrid Neuro-FEM is proposed. FEM solutions considering coarse mesh is used for training neural networks which is further employed for finer predictions. The proposed methodology is successfully employed on a cantilever beam problem.

Keywords

Stress, Displacement, Finite Element, Neuro-Finite Element.
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  • A Neuro-Finite Element Analysis of Partial Differential Equations of Solid Mechanics

Abstract Views: 245  |  PDF Views: 3

Authors

Sangeeta Yadav
Barkatullah University, Bhopal - 462 003, India
K. K. Pathak
Advanced Material and Processes Reasearch Institue (CSIR), Bhopal - 462 026, India
Rajesh Shrivastava
Government Science and Arts College, Benazir, Bhopal - 462 003, India

Abstract


Numerical analysis of Partial Differential Equations (PDE's) of the solid mechanics using Finite Element Method (FEM) is very popular. One issue which is haunting the finite element solution is the computer time. Finite Element Analysis (FEA) using fine mesh and large number of nodes consumes lot of solution time. To overcome this difficulty, a hybrid Neuro-FEM is proposed. FEM solutions considering coarse mesh is used for training neural networks which is further employed for finer predictions. The proposed methodology is successfully employed on a cantilever beam problem.

Keywords


Stress, Displacement, Finite Element, Neuro-Finite Element.