Modeling method of hyperelastic constitutive model for rubber materials

Abstract

The invention provides a hyperelasticity constitutive model modeling method of a rubber material. The method comprises the following steps: firstly, providing an influence model of a polymer molecular chain volume; secondly, improving an eight-chain model and providing a probability density function caused by topological constraints; then, establishing a relation between microscopic deformation and macroscopic deformation of a molecular chain and deducing a strain energy density function of the rubber material accordingly to obtain a non-affine hyperelasticity constitutive model. The established hyperelasticity constitutive model of the rubber material considers the influences on the polymer molecular chain volume, non-affine deformation and the topological constraints and a physical relation between a macroscopic model parameter and a microscopic molecular structure is established, so that the essence of polymer macromolecular mechanic deformation can be more deeply reflected and the hyperelasticity property of the rubber material in a multifunctional structure can be more accurately simulated.

Description

technical field [0001] The invention relates to the technical field of structural mechanics modeling, in particular to a hyperelastic constitutive model modeling method for rubber materials. Background technique [0002] The mechanical properties of rubber materials are very complex. The polymer material in the rubber state is soft and elastic, and it can undergo a large deformation under a small force. After the external force is removed, the stretched polymer molecular chain returns to the original curled state. , no permanent deformation, this characteristic is also called high elasticity or superelasticity of rubber materials. [0003] The stress of the rubber material in the hyperelastic state changes with the strain, which has obvious nonlinear characteristics. At present, there are two main ways to characterize the hyperelastic properties of rubber materials: one is the hyperelastic model based on the phenomenological theory, and the other is the hyperelastic model b...

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Problems solved by technology

However, the existing hyperelastic constitutive model based on molecular network theory cannot simultaneously consider the influence of molecular volume, topological constraints and non-affine deformation.

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