Morphoelasticity ($\mathbf{F}=\mathbf{AG}$)

The mathematical description of elastic bodies whose stress-free material state changes through growth or remodelling. A multiplicative decomposition of the deformation gradient separates the growth tensor $\mathbf{G}$ from the elastic accommodation $\mathbf{A}$. The relaxed grown configuration need not be globally compatible, so even an unloaded body can develop internal stress.