Research on Neural Network-Based Computational Methods for Elasticity Displacement in Mechanics
Conventional elasticity problems are primarily numerically solved using finite element methods,where mesh partitioning significantly influences computational results,leading to certain limitations in solving mechanical problems.Neural networks,as a versatile numerical approximator,can be employed to solve partial differential equa-tions in elasticity mechanics.This paper establishes a neural network partial differential equation solving model based on physical constraints.Taking the example of common two-dimensional plane compression calculations,the method's solution and validation are implemented,providing new ideas and methods for intelligent elasticity prob-lem-solving.
elasticity mechanicsneural networksnumerical computationsystem of partial differential equa-tions