A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth
Fig 2
Local coordinate system on the surface patch.
s1 is the direction of surface growth due to mantle extension, s2 is the direction of volume growth along the mantle margin, and s3 = s1 × s2 is the normal to the local surface patch. The calcified shell edge after time τ1 forms the generating curve Γτ1 for the time step, [τ1, τ2]; the leading edge of the grown and deformed mantle strip then forms the generating curve, Γτ2 for the next time step.