MATERIAL GROWTH IN THERMOELASTIC CONTINUA:
THEORY, ALGORITHMICS, AND SIMULATION
C. Vignes and P. Papadopoulos
Comp. Meth. Appl. Mech. Engrg., 199, pp. 979-996, (2010)
A theoretical formulation of stress-induced volumetric material growth in
thermo\-elastic continua is developed. Material growth is regulated by
a three-surface activation criterion and corresponding flow rules.
A simple model is proposed based on this formulation and its
algorithmic implementation, including a method for solving the
underlying differential/algebraic equations for growth, is examined
in the context of an implicit finite element method.
Selected numerical simulations are presented that showcase the
predictive capacity of the model for both soft and hard biomaterials.
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