Abstract
Edwards’s equilibrium theory of rubber elasticity is used to study the effect on the network elasticity of the consecutive addition and removal of cross-links under different strains. The treatment is compared with those of Flory, Scanlan and others based on classical rubber elasticity theory. For a composite network made by first introducing (
v
1
+
v
0
1
) links in an isotropic state, then adding
v
2
at deformation λ, and finally removing
v
0
1
of the
original
group, the strain-dependent free energy at some subsequent deformation ξ (relative to the initial unstrained state) is shown under certain conditions to be
F
(ξ) = ½
kT
[(
v
1
+ ф
v
2
) Ʃ
i
ξ
2
i
+ (
v
2
- ф
v
2
) Ʃ
i
(ξ
i
/λ
i
)
2
], where ф = ф{
v
1
,
v
0
1
,
v
2
). A similar equation has been obtained by Flory. When
v
0
1
= 0, ф = 0, confirming the familar ‘two -network’ theory for this case. The ‘memory’ effects which occur when
v
0
1
is non-zero are discussed.
Reference13 articles.
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