橡胶材料在ABAQUS的材料参数设定

之設定

Alvin Chen

Outline

Elastic Behavior

Compressibility (Hyperelasticity)Strain energy potentials (Hyperelasticity)Example

Page 2

Elastic Behavior

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 effectsCellular solids whose porosity permits very large volumetric changesDeform elastically to large strains, up to 90% strain in compressionRequires geometric nonlinearity be accounted in analysis step

Page 3

Elastic Behavior

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 rubberlikematerial 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.

Page 4

Elastic Behavior

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.

Page 5

Compressibility (Hyperelasticity)

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.

Page 6

Compressibility (Hyperelasticity)

Page 7

Strain energy potentials (Hyperelasticity)

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 formMarlow form

Mooney-Rivlin formNeo-Hookean formOgden form



Polynomial form

Reduced Polynomial formVan der Waals formYeoh form

Page 8

Strain energy potentials (Hyperelasticity)

Page 9

Strain energy potentials (Hyperelasticity)

Page 10

Strain energy potentials (Hyperelasticity)

Page 11

Strain energy potentials (Hyperelasticity)

Page 12

Strain energy potentials (Hyperelasticity)

Page 13