In 1978, Pierre Suquet introduced the space of vector fields with bounded deformation[2][3] and established certain properties (existence of internal and external traces on any surface, compact injection...).
It shows that the evolution problem for a perfectly plastic elastic body admits a solution in speed (of displacement) in this space under a safe loading condition.
[4][5] The framework of generalized standard environments, due to Helphen and Nguyen Quoc Son, allows an easy writing of the laws of macroscopic behaviour.
In 1983, Pierre Suquet[9] gave a first upper bound of the resistance domain of a heterogeneous medium by solving a boundary analysis problem on a base cell.
In 1994, H. Moulinec and P. Suquet[14][15][16][17] introduced a numerical method using massively the Fast Fourier Transform (FFT) using only a pixelized image of the study microstructure (without mesh size).