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Fig. A2.1. Two-dimensional illustration of the analogy between the three-dimensional shrinkage of a layer and a sample of an arbitrary shape. (a) The current specific volume
of a layer with dotted initial upper surface (corresponding to
l =
=
o) is equal to the current specific volume (
) of a soil matrix (shaded area) plus the current specific crack volume (
cr.l) (black strips; vertical cracks are only shown for simplicity).
,
o, and
l are connected by Eq. [A2.1]. (b) The current specific volume (
s) of a sample of an arbitrary shape with dotted initial surface (corresponding to
s =
=
o) is equal to the current specific volume (
) of a soil matrix (shaded area) plus the current specific crack volume (
cr.s) (black strips).
,
o, and
s are connected by Eq.[A2.2], which is similar to Eq.[A2.1]. The M factor is the generalization of the rs factor for a sample of an arbitrary shape.