What Is Tissue Homogenization?

The homogenization method is developed from the study of partial differential equations with fast-changing factors. It is based on two assumptions. One is that the field is attributed to the existence of the microstructure according to the change of the multi-level spatial scale, and the other is that the microstructure has spatial periodicity.

Homogenization method

In order to more comprehensively and scientifically study the field response of this special composite material of skeletal tissue, it is necessary to start from the meso-scale and study the field properties under the meso-local part to further obtain the macro-equivalent properties. Therefore, this requires a combination of macro-scale and meso-scale analysis. Based on the homogenization theory, starting from the meso-scale, a representative volume unit RVE (Representative Volume Element) composed of skeletal tissue is taken to introduce the meso-characteristic function that characterizes RVE shape and geometric arrangement information of components. The meso-characteristic function is obtained by solving, and the equivalent elastic modulus and Poisson's ratio are obtained by solving and evaluating the macroscopic equivalent elastic modulus by means of the macroscopic equilibrium equation.