An Influence of Cyclic Loading on Behaviour of a Hysteretic Interface Damage Model

Article Preview

Abstract:

A computational interface damage model which takes into account crack initiation andgrowth along connections between parts of a multi-domain structure is proposed and is exposed tosituations where cyclic loading and its effects on the structure are noticeable, though the inertial effects are not considered. Modelling of damage takes into account various aspects of damage propagation and invoking of an interface crack. First, the degradation function of the interface layer controls the stressseparation relation on damage evolution. Second, the instant of triggering and cessation of damage propagation may in situations of cyclic loads depend on the actual state of the structure, influencing thus its endurance limit. Finally, the hysteretic character of damage provides together with loadingunloading conditions a fatigue-like character, where the crack appears for smaller magnitude of the cyclic load than for pure uploading. The numerical solution and a short parametric study is provided for a simplified situation of single damageable interface spring.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

275-281

Citation:

Online since:

December 2019

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2020 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] K.L. Roe and T. Siegmund. An irreversible cohesive zone model for interface fatigue crack growth simulation. Eng. Frac. Mech., 70:209-232, (2003).

DOI: 10.1016/s0013-7944(02)00034-6

Google Scholar

[2] J.L. Bouvard, J.L. Chaboche, F. Feyel, and F. Gallerneau. A cohesive zone model for fatigue and creep-fatigue crack growth in single crystal superalloys. Int. J. Fatigue, 31:868-879, (2009).

DOI: 10.1016/j.ijfatigue.2008.11.002

Google Scholar

[3] S. Roth, G. Hütter, and M. Kuna. Simulation of fatigue crack growth with a cyclic cohesive zone model. Int. J. Frac., 188:23-45, (2014).

DOI: 10.1007/s10704-014-9942-8

Google Scholar

[4] M. Raous, L. Cangemi, and M. Cocu. A consistent model coupling adhesion, friction and unilateral contact. Comput. Meth. Appl. Mech. Eng., 177(6):383-399, (1999).

DOI: 10.1016/s0045-7825(98)00389-2

Google Scholar

[5] T. Roubíček, O. Souček, and R. Vodička. A model of rupturing lithospheric faults with reoccurring earthquakes. SIAM J. Appl. Math., 73(4):1460-1488, (2013).

DOI: 10.1137/120870396

Google Scholar

[6] R. Vodička. A quasi-static interface damage model with cohesive cracks: SQP-SGBEM implementation. Eng. Anal. Bound. Elem., 62:123-140, (2016).

DOI: 10.1016/j.enganabound.2015.09.010

Google Scholar

[7] R. Vodička and K. Krajníková. A quasi-static delamination model with rate-dependent interface damage exposed to cyclic loading. Key Engineering Materials., 774:84-89, (2018).

DOI: 10.4028/www.scientific.net/kem.774.84

Google Scholar

[8] R. Vodička and K. Krajníková. A numerical approach to an interface damage model under cyclic loading. In Lecture Notes in Civil Engineering, vol. 20, pp.54-66, Springer, (2019).

DOI: 10.1007/978-981-13-2405-5_5

Google Scholar

[9] R. Vodička, V. Mantič, and T. Roubíček. Energetic versus maximally-dissipative local solutions of a quasi-static rate-independent mixed-mode delamination model. Meccanica, 49(12):2933- 296, 2014.[10] R. Vodička and V. Mantič. An energy based formulation of a quasi-static interface damage model with a multilinear cohesive law. Discrete and Cont. Dynam. Syst.-S, 10(6):1539-1561, (2017).

DOI: 10.1007/s11012-014-0045-4

Google Scholar

[11] Z. Dostál. Optimal Quadratic Programming Algorithms, vol. 23 of Springer Optimization and Its Applications. Springer, Berlin, (2009).

DOI: 10.1007/978-0-387-84806-8_1

Google Scholar

[12] J. Nocedal and S.J. Wright. Numerical Optimization. Springer, (2006).

Google Scholar