Abstract
The problem of shape perturbation for the variational inequality describing solids with cracks under the nonpenetration condition is considered. There are used the iteration-penalty and finite-element methods to calculate numerically an approximate solution of the variational inequality. From the shape sensitivity analysis we deduce energetic characteristics of a solution in the general form. Applying analytical formulas, we describe the quasistatic propagation of a crack under the linear loading applied. The numerical example is presented, when a penetration between the crack faces occur.
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References
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Kovtunenko, V.A. (2003). Quasistatic Propagation of Cracks. In: Wendland, W., Efendiev, M. (eds) Analysis and Simulation of Multifield Problems. Lecture Notes in Applied and Computational Mechanics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36527-3_26
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DOI: https://doi.org/10.1007/978-3-540-36527-3_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05633-8
Online ISBN: 978-3-540-36527-3
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