Citation Link: https://doi.org/10.1002/pamm.202300285
Data‐driven finite element computation of microstructured materials
Publication Type
Article
Author(s)
Subjects
Finite element method
Computation
Isotropy
Material properties
Function (biology)
Computer science
Materials science
Algorithm
Structural engineering
Engineering
Physics
Composite material
Date Issued
2023
Abstract
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 derive suitable material data sets for the different cases of (non‐)linear and (an‐)isotropic material behavior efficiently. The numerical example of a rubber sealing illustrates possible areas of application, and the proposed strategy's versatility.
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