Quasistatic delamination problem

Roubicek, T., Scardia, L. and Zanini, C. (2009) Quasistatic delamination problem. Continuum Mechanics and Thermodynamics, 21, pp. 223-235. (doi: 10.1007/s00161-009-0106-4)

Abstract

We study delamination of two elastic bodies glued together by an adhesive that can undergo a unidirectional inelastic rate-independent process. The quasistatic delamination process is thus activated by time-dependent external loadings, realized through body forces and displacements prescribed on parts of the boundary. The novelty of this work consists of considering the glue as infinitesimally thin and ideally rigid in the sense that a crack in the glue cannot be seen before, speaking ``microscopically'', all macromolecular links of the adhesive are fully debonded. The concept of energetic solution is applied and existence of such solutions is proved by showing Gamma-convergence of a suitable approximation that, in addition, allows for a direct computer implementation, unlike the original problem.

• Item Type: Articles
• Additional Information: The original publication is available at www.springerlink.com
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Scardia, Dr Lucia
• Authors: Roubicek, T., Scardia, L., and Zanini, C.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Continuum Mechanics and Thermodynamics
• Publisher: Springer
• ISSN: 0935-1175
• Copyright Holders: Copyright © 2009 Springer
• First Published: First published in Continuum Mechanics and Thermodynamics 21
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher