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Effective hyperelastic material parameters from microstructures constructed using the planar Boolean model
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DOI：10.1007/s00466-022-02142-5.png)
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Abstract
En 中文
We construct two-dimensional, two-phase random heterogeneous microstructures by stochastic simulation using the planar Boolean model, which is a random collection of overlapping grains. The structures obtained are discretized using finite elements. A heterogeneous Neo-Hooke law is assumed for the phases of the microstructure, and tension tests are simulated for ensembles of microstructure samples. We determine effective material parameters, i.e., the effective Lame moduli lambda* and mu*, on the macroscale by fitting a macroscopic material model to the microscopic stress data, using stress averaging over many microstructure samples. The effective parameters lambda* and mu* are considered as functions of the microscale material parameters and the geometric parameters of the Boolean model including the grain shape. We also consider the size of the Representative Volume Element (RVE) given a precision and an ensemble size. We use structured and unstructured meshes and also provide a comparison with the FE2 method.
Keywords:
Boolean model
Homogenization
Representative volume element (RVE)
Finite strain elasticity
Parameter identification
Stress recovery
Equilibrium gap method
Effective parameters
Hyperelasticity
Neo-Hooke
Journal
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3.8
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3.2K
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9.0K