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Asia Pacific Journal on Computational Engineering
Articles
Table 1
Minimization problem:
inf
s
W(s)
From:
Modelling of shear localization in solids by means of energy relaxation
Expression
Scalar minimization problem
inf
s
W
(
s
)
Potential
W
(
s
)=
a
s
2
+
b
s
+
c
|
s
| (
c
>0,
a
>0)
Solution
inf
s
W
(
s
)
=
−
1
4
a
(
b
−
c
)
+
2
Minimizer
s
=
−
1
2
a
(
b
−
c
)
+
sign
(
b
)
Abbreviations
(
b
−
c
)
+
=
0
for
b
≤
c
b
−
c
for
b
>
c
sign
(
b
)
=
b
b
for
b
≠
0
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