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Iterative penalty method for plate with a crack. (English) Zbl 0896.73079
We deal with the nonpenetration condition on the crack faces stated as an inequality. The problem with the unilateral constraint is described by a variational inequality. We construct approximate solutions using penalty and iterative methods, prove the convergence of the solutions, and give applications to a one-dimensional problem.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
74R99 Fracture and damage
74K20 Plates
49J40 Variational inequalities
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