A Flexible Scheme For Numerical Homogenisation In Linear Elasticity

A. Gerisch[1], S. Tiburtius[1], Q. Grimal[2], and K. Raum[3]
[1]Technische Universität Darmstadt, Germany
[2]Université Pierre et Marie Curie Paris VI, France
[3]Charité-Universitätsmedizin Berlin, Germany
Published in 2010

Musculoskeletal mineralised tissues (MMTs), like bone or tendon, are a prime example of naturally occuring, hierarchically structured material. They display a great variety in mechanical function but are all based on essentially the same building block: the mineralised collagen fibril (100 nanometer in diameter). This building block is arranged in various spatial structures across many length scales up to the macro scale (centimeter). In this contribution we describe our numerical homogenisation environment for the static equations of linear elasticity. We follow a representative volume element (RVE) approach. The microstructure is captured in the RVE by spatially varying elastic coefficients.

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