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 formPolynomial 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)