Study On Macroscopic Constitutive Relation Of Low-density Polyethylene And High Elastic Foam Material And Its Application

The application of low-density foamed polyethylene in packaging is mainly used as a cushion for cushioning packaging.On the one hand,it can play a fixed role to prevent the product from moving in the box;Play a certain buffering effect,so as to avoid damage to the product.The existing literature seldom conducts in-depth research on the constitutive relationship of low-density foamed polyethylene.In this paper,the stress-strain curve of low-density foamed polyethylene is obtained through compression experiments.The first order ogden constitutive model and the second order ogden constitutive model and the simplified tangent nonlinear model are fitted with curves,and the constitutive relation of low-density foamed polyethylene is established;the vibration isolation mechanical analysis of low-density foamed polyethylene is carried out,and the Runge-Kutta method is used for comparison.The acceleration responses of products and wearing parts show that: when the foamed polyethylene is under one-dimensional flat compression loadings,the acceleration responses of products and wearing parts obtained by the first order ogden constitutive model and the tangent nonlinear constitutive model are consistent.The acceleration response of the product obtained by the ABAQUS simulation and the Runge-Kutta method based on the first order ogden hyperelastic constitutive method is also consistent.The research shows that the tangent nonlinear constitutive calculation is faster and more convenient,but it is only suitable for the case where the foamed polyethylene is in one-dimensional flat compression,while the first order and second order ogden models can be used as multi-dimensional finite element scenarios for calculation and analysis,and a more accurate result is obtained.For an accurate conclusion,it is more feasible to make the application of low density foamed polyethylene as a cushion pad.The vibration isolation mechanics analysis of low-density foamed polyethylene is carried out,and the Runge-Kutta method is used to obtain the acceleration response images of products and wearing parts under the tangent nonlinear model and simplified linear model when two resonances occur.The dynamic responses of the two models were compared and analyzed.The research shows that the dynamic response of the two models is very different at the first resonance,because the buffer material enters the nonlinear region,and the buffer material can no longer be equivalent by linearity;at the second resonance,the dynamic responses of the two models are not much different because the buffer material deforms less and can be simplified to a linear buffer material.Therefore,the tangent nonlinear system can obtain satisfactory results under the condition of two resonances.By comparing the dynamic responses of the first order ogden constitutive model and the tangent nonlinear model in two resonances,the study shows that the first order ogden constitutive model can also obtain satisfactory results in the case of two resonances.It shows that the first order ogden constitutive model can be equivalent to a one-dimensional tangent nonlinear constitutive model at the two resonances.Since the ceramic bowl has no wearing parts,the stress can only be used as the evaluation standard.Based on the theoretical support of the ogden constitutive relation of the low-density foamed polyethylene,the simulation drop analysis of the ceramic bowl is performed by ABAQUS,which provides a reasonable solution for the packaging of the cushion pad.Program.