Study On Disturbance Models And Its Effect On Mechanical Behavior Prediction

Elastic plastic problem is the most common problem in engineering field.Elastic plastic theory is used to solve the problem of elastic plastic,and the process of solving the problem is complicated.For some plastic problems,the efficiency is low.It is still an important subject to establish a convenient and effective mechanical model.Theory of Duality Disturbance provides a new mechanical system to simulate the complex mechanical behavior(including the elastic plasticity,strengthening,softening and damage).The relationship between the disturbance and plastic strain is important.A simple and effective method for solving the elasto-plastic problem based on the concept of two elements is a practical application of the theory of two elements perturbation.The main work of this paper is as follows:(1)Based on the uniaxial stress-strain relationship,the linear and nonlinear relative non-disturbance state model is established,and the four main relative perturbation state model is combined.The results show that the disturbance modes of different relative to the non-disturbance state are included in the model,which also has the ability to predict the mechanical behavior.(2)The stress-strain curve of elastic plastic softening material is predicted by using the linear and nonlinear perturbation model,and the plastic strain curve is fitted.The fitted perturbation and plastic strain curves have the same trend,and the predicted stress-strain curves agree with the experimental results.It is concluded that the perturbation function of different relative disturbance States is different,but the influence of the similar trend is on the accuracy of the prediction results.(3)A new method based on the two element perturbation theory is established to solve the elastoplastic problem.By using the method of analysis by bending concrete cantilever beam.The numerical example shows that the method is convenient and effective to solve the problem of elastic plastic strengthening of the Mises strength criterion..