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Table 1 Minimization problem: inf s W(s)

From: Modelling of shear localization in solids by means of energy relaxation

  Expression
Scalar minimization problem infs W(s)
Potential W(s)=a s2+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 forb0