You can create a hyperfoam material model to describe a cellular solid whose porosity permits very large volumetric changes. See Hyperelastic behavior in elastomeric foams for more information on hyperfoam materials.
Defining hyperfoam materials Entering material parameters to define a hyperelastic foam material Providing test data to define a hyperelastic foam material model Specifying uniaxial test data for a hyperelastic foam material model Specifying biaxial test data for a hyperelastic foam material model Specifying simple shear test data for a hyperelastic foam material model Specifying planar test data for a hyperelastic foam material model Specifying volumetric test data for a hyperelastic foam material model