Significant differences in the mechanical modeling of confined growth predicted by the Lagrangian and Eulerian formulations

This paper presents an Eulerian formulation of growth for general elastic anisotropic response. The constitutive equations model homeostasis, which is the inelastic process causing the elastic deformation measures to tend towards their homeostatic values. The numerical implementation into ABAQUS using robust, strongly objective integration algorithms for the evolution equations is discussed. Differences between the Eulerian and the Lagrangian multiplicative formulations of growth are examined using examples modeling partially unconfined and confined growth.