Crack Surface Frictional Contact Modelling in Piezoelectric Materials


Article Preview

Piezoelectric materials exhibit an electromechanical coupling which allows for their use assensors or energy harvesting devices (direct piezoelectric effect) or actuators and shape control de-vices (inverse piezoelectric effect). They are applied in many technological sectors of current interestsuch as the aerospace and automotive industries, and they are generally constructed in block form orin a thin laminated composite. The study of the integrity of such materials in their various forms andsmall sizes is still a challenge nowadays. To gain a better understanding of these systems, this workpresents a crack surface contact formulation which makes it possible to study the integrity of theseadvanced materials under more realistic crack surface multifield operational conditions. The formu-lation uses the BEM for computing the elastic influence coefficients and contact operators over theaugmented Lagrangian to enforce contact constraints on the crack surface, in the presence of electricfields. The capabilities of this methodology are illustrated solving a benchmark problem.



Edited by:

Luis Rodríguez-Tembleque, Jaime Domínguez and Ferri M.H. Aliabadi




L. Rodríguez-Tembleque et al., "Crack Surface Frictional Contact Modelling in Piezoelectric Materials", Key Engineering Materials, Vol. 774, pp. 607-612, 2018

Online since:

August 2018




* - Corresponding Author

[1] E. Pan: Eng. Anal. Boundary Elements Vol 23 (1999) p.67.

[2] E. Pan, B. Amadei: Eng. Anal. Boundary Elements Vol 23 (1999) p.683.

[3] F. Garc´ıa-S´anchez, A. S´aez, J. Dom´ınguez: Comput. Struct. Vol. 83 (2005), p.804.

[4] M.M. Mu˜noz-Reja, F.C. Buroni, A. S´aez, F. Garc´ıa-S´anchez: Appl. Math. Model. Vol. 40 (2016), p.2897.

[5] M. W¨unsche, Ch. Zhang, F. Garc´ıa-S´anchez, A. S´aez, J. Sladek, V. Sladek: Comput. Methods Appl. Mech. Engrg. Vol. 200 (2011), p.2848.

[6] F. Garc´ıa-S´anchez, R. Rojas-D´ıaz, A. S´aez, Ch. Zhang: Theor. Appl. Fract. Mec. Vol. 47 (2007), p.192.

[7] R. Rojas-D´ıaz, M. Denda, F. Garc´ıa-S´anchez, A. S´aez: Eur. J. Mech. A Solids. Vol. 31 (2012), p.152.

[8] A.-V. Phan, J.A.L. Napier, L.J. Gray, T. Kaplan: Int. J. Numer. Meth. Engng. Vol. 57 (2003) p.835.

[9] L. Rodr´ıguez-Tembleque, F.C. Buroni, A. S´aez: Comput. Mech. Vol. 56 (2015) p.491.

[10] L. Rodr´ıguez-Tembleque, A. S´aez, M.H. Aliabadi: Int. J. Eng. Sci. Vol 107 (2016) p.36.

[11] D.M. Barnett, J. Lothe: Phys. Stat. Sol. (b) Vol 67 (1975) p.105.