Exact(2)
Deformation of a representative volume of material is generated by mobilizing particle contacts in all orientations.
Using a two-level approach (micro- and macro-), a scalar is constructed where the damage of a representative volume of material is no longer considered as deterministically known, but results from a probabilistic formulation.
Similar(58)
The deformation of a representative volume of the material is generated by mobilizing particle contacts in all orientations.
These force displacement relationships are then used to derive the incremental stiffnesses at the grain-scale, and consequently, obtain the sample-scale stress strain relationship of a representative volume of the material.
Firstly, we make use of symmetry conditions present in a representative volume element of material.
The mechanical response of wood is calculated under tensile loading conditions by means of the computational homogenisation of a representative volume element (RVE) of material.
The derivation of the proposed formula relies on the concept of topological derivative, applied within a variational multi-scale constitutive framework where the macroscopic strain and stress at each point of the macroscopic continuum are volume averages of their microscopic counterparts over a representative volume element (RVE) of material associated with that point.
It is derived by applying the concept of topological derivative within a variational multi-scale framework for steady-state heat conduction where the macroscopic temperature gradient and heat flux are defined as volume averages of their microscopic counterparts over a representative volume element (RVE) of material.
They are obtained by computational homogenization of a representative volume element of the microstructure which was built from the grain size, shape and orientation distributions of the material.
Full three-dimensional crystal plasticity simulations, with material properties determined from micropillar tests, were then used to predict the macroscopic uniaxial stress strain behavior of a representative volume element of martensite.
In the second part of the paper, the homogenized response of a representative volume element (RVE) of the honeycomb cellular polycrystalline material with one or two levels of hierarchy is numerically investigated.
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