橡胶材料在ABAQUS的材料参数设定

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橡膠材料在

ABAQUS中使用之設定

Alvin Chen

Page 2Outline

Elastic Behavior

Compressibility (Hyperelasticity)

Strain energy potentials (Hyperelasticity)

Example

Page 3Elastic 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 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

Page 4Elastic 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 5Elastic 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 6Compressibility (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 7Compressibility (Hyperelasticity)

Page 8Strain 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 form

Marlow form

Mooney-Rivlin form

Neo-Hookean form

Ogden formPolynomial form

Reduced Polynomial form

Van der Waals form

Yeoh form

Page 9Strain energy potentials (Hyperelasticity)

Page 10Strain energy potentials (Hyperelasticity)

Page 11Strain energy potentials (Hyperelasticity)

Page 12Strain energy potentials (Hyperelasticity)

Page 13Strain energy potentials (Hyperelasticity)