  This paper presents a model-free data-driven strategy for linear and
non-linear finite element computations of open-cell foam. Employing sets of
material data, the data-driven problem is formulated as the minimization of a
distance function subjected to the physical constraints from the kinematics and
the balance laws of the mechanical problem.
  The material data sets of the foam are deduced here from representative
microscopic material volumes. These volume elements capture the stochastic
characteristics of the open-cell microstructure and the properties of the
polyurethane material. Their computation provides the required stress-strain
data used in the macroscopic finite element computations without postulating a
specific constitutive model. The paper shows how to efficiently derive suitable
material data sets for the different (non-)linear and (an-)isotropic material
behavior cases.
  Exemplarily, we compare data-driven finite element computations with
linearized and finite deformations and show that a linear kinematic is
sufficiently accurate to capture the material's non-linearity up to 50% of
straining. The numerical example of a rubber sealing illustrates possible areas
of application, the expenditure, and the proposed strategy's versatility.
