Abstract
In this paper, the problem of an infinite row of parallel cracks in a piezoelectric material strip is analyzed under static mechanical and transient thermal loadings. The crack faces are supposed to be completely insulated. By using the Laplace and Fourier transforms, the thermoelectromechanical problem is reduced to a singular integral equation, which is solved numerically. The stress intensity factors for both the embedded and edge cracks are computed. The results for the crack contact problem are also included
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
S.S. Rao, M. Sunar, Piezoelectricity and Its Use in Disturbance Sensing and Control of Flexible Structures: A Survey, Applied Mechanics Review, Vol.47, pp.113–123, 1994.
T.R. Tauchert, Piezothermoelastic Behavior of a Laminated Plate, Journal of Thermal Stresses, Vol.15, pp.25–37, 1992.
N. Noda, S. Kimura, Deformation of a Piezothermoelectric Composite Plate Considering the Coupling Effect, Journal of Thermal Stresses, Vol.21, pp.359–379, 1998.
F. Ashida and T.R. Tauchert, Transient Response of a Piezothermoelastic Circular Disk Under Axisymmetric Heating, Acta Mechanica, Vol.128, pp.1–14, 1998.
Y. Ootao, Y. Tanigawa, Three-Dimensional Transient Piezothermoelasticity in Functionally Graded Rectangular Plate Bonded to a Piezoelectric Plate, International Journal of Solids and Structures, Vol.37, pp.4377–4401, 2000.
B.L. Wang and Y.-W. Mai, A Cracked Piezoelectric Material Strip under Transient Thermal Loading, Transactions of the ASME, Journal of Applied Mechanics, Vol.69, pp.539–546, 2002.
O.P. Niraula and N. Noda, Thermal Stress Analysis in Thermopiezoelastric Strip with an Edge Crack, Journal of Thermal Stresses, Vol.25, pp.389–405, 2002.
S. Ueda, Thermally Induced Fracture of a Piezoelectric Laminate with a Crack Normal to Interfaces, Journal of Thermal Stresses, Vol.26, pp.311–331, 2003.
B.L. Wang and N. Noda, The Exact Thermoelectroelasticity Solution for a Penny-Shaped Crack in Piezoelectric Materials, Journal of Thermal Stresses, Vol.27, pp.241– 251, 2004.
S. Ueda, Thermal Stress Intensity Factors for a Normal Crack in a Piezoelectric Strip, Journal of Thermal Stresses, Vol.29, pp.1107–1126, 2006.
S. Ueda, The Crack Problem in Piezoelectric Strip under Thermoelectric Loading, Journal of Thermal Stresses, Vol.29, pp.295–316, 2006.
S. Ueda, Transient Response of a Cracked Piezoelectric Strip under Thermoelectric Loading, Journal of Thermal Stresses, Vol.29, pp.973–994, 2006.
Z.T. Chen and M.J. Worswich, Antiplane Mechanical and Inplane Electric Time-Dependent Load Applied to Two coplanar Cracks in Piezoelectric Ceramic Material, Theoretical and Applied Fracture Mechanics, Vol.33, pp.173–184, 2000.
S. Ueda and K. Ikawa, Thermoelectromechanical Interaction between Two Parallel Cracks in a Piezoelectric Strip, Journal of Thermal Stresses, Vol.31, pp.311–330, 2008.
S. Ueda and S. Tani, Thermal Stress Intensity Factors for Two Coplanar Cracks in a Piezoelectric Strip, Journal of Thermal Stresses, Vol.31, pp.403–415, 2008.
B.L. Wang and Y.W. Mai, Impermeable Crack and Permeable Crack Assumptions, Which One is More Realistic? Transactions of the ASME, Journal of Applied Mechanics, Vol.71, pp.575–578, 2004.
S. Ueda, Effects of Crack Surface Conductance on Intensity Factors for a Cracked Functionally Graded Piezoelectric Material under Thermal load, Journal of Thermal Stresses, Vol.30, pp.731–752, 2007.
S. Ueda, A Cracked Functionally Graded Piezoelectric Material Strip Under Transient Thermal Loading, Acta Mechanica, Vol.199, pp.53–70, 2008.
I.N. Sneddon and M. Lowengrub, Crack Problems in the Classical Theory of Elasticity, John Wiley & Sons, Inc., New York, 1969.
F. Erdogan and B.H. Wu, Crack Problems in FGM Layers Under Thermal Stresses, Journal of Thermal Stresses, Vol.19, pp.237–265, 1996.
F. Erdogan, G.D. Gupta and T.S. Cook, Methods of Analysis and Solution of Crack Problems(Edited by G.C. Sih), Noordhoff, Leyden, 1972.
S. Ueda, Thermal Intensity Factors for a Parallel Crack in a Functionally Graded Piezoelectric Strip, Journal of Thermal Stresses, Vol.30, pp.321–342, 2007.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag/Wien
About this chapter
Cite this chapter
Ueda, S. (2010). Infinite Row of Parallel Cracks in a Piezoelectric Material Strip under Mechanical and Transient Thermal Loadings. In: Irschik, H., Krommer, M., Watanabe, K., Furukawa, T. (eds) Mechanics and Model-Based Control of Smart Materials and Structures. Springer, Vienna. https://doi.org/10.1007/978-3-211-99484-9_20
Download citation
DOI: https://doi.org/10.1007/978-3-211-99484-9_20
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-99483-2
Online ISBN: 978-3-211-99484-9
eBook Packages: EngineeringEngineering (R0)