Figure 2.

Graphical illustration of the multiplicative decomposition of the deformation gradient F = ∇_Xφ = F^e · F^g into a reversible elastic part F^e and an irreversible growth part F^g. The local mass density ρ_t = j ρ₀ and ρ_g = j ρ₀ are transformations of the referential density ρ₀ in terms of the Jacobians j = det(F⁻¹) and j^g = det(F^g−1).