橡胶材料在ABAQUS的应用

橡膠材料在ABAQUS中使用

之設定

Alvin Chen

Outline

Elastic Behavior

Compressibility (Hyperelasticity)

Strain energy potentials (Hyperelasticity) Example

Linear elasticity

→Small elastic strains (normally less then 5%)

→Isotropic, orthotropic, or fully anisotropic

→Can have property depend on temperature and/or other field variables Hypoealsticity

→Small elastic strains-the stresses should not be large compared to the elastic modulus of the material

→Load path is monotonic

→If temperature is to be included “UHYPEL”

Hyperfoam

→Isotropic and nonlinear, energy dissipation and stress softening effects →Cellular solids whose porosity permits very large volumetric changes →Deform elastically to large strains, up to 90% strain in compression

→Requires geometric nonlinearity be accounted in analysis step

Porous elasticity

→Small elastic strains (normally less then 5%)

→Nonlinear, isotropic elasticity Isotropic, orthotropic, or fully anisotropic →Can have property depend on temperature and/or other field variables Viscoelasticity

→“viscous” (internal damping) effect, time dependent

→Large-strain problem

Hyperealsticity

→For rubberlike material at finite strain the hyperelastic model provides

a general strain energy potential to describe the material behavior for

nearly incompressible elastomers. This nonlinear elasticity model is

valid for large elastic strains.

The Hyperelastic material model:

→Is isotropic and nonlinear

→Is valid for materials that exhibit instantaneous elastic response up to large strains (such as rubber, solid

propellant, or other elastomeric materials)

→Requires that geometric nonlinearity be accounted for during the analysis step, since it is intended for finite-

strain applications.

Most elastomers (solid, rubberlike materials) have very little compressibility compared to their shear flexibility. In ABAQUS/Standard to assume that the material is fully incompressible.

Another class of rubberlike materials is elastomeric foam, which is elastic but very compressible.

In ABAQUS/Standard the use of hybird (mixed formulation) elements is recommended in both incompressible and almost incompressible cases.

Hyperelastic materials are described in terms of a “strain energy potential”, which defines the strain energy stored in the material per unit of reference volume (volume in the initial configuration) as a function of the strain at that point in the material

→Arruda-Boyce form →Marlow form

→Mooney-Rivlin form →Neo-Hookean form →Ogden form →Polynomial form

→Reduced Polynomial form →Van der Waals form

→Yeoh form