The scattering of harmonic elastic anti-plane shear waves by two collinear cracks in the piezoelectric plate by using the non-local theory (original) (raw)
Access this article
Subscribe and save
- Starting from 10 chapters or articles per month
- Access and download chapters and articles from more than 300k books and 2,500 journals
- Cancel anytime View plans
Buy Now
Price excludes VAT (USA)
Tax calculation will be finalised during checkout.
Instant access to the full article PDF.
References
- Deeg WEF. The analysis of dislocation, crack and inclusion problems in piezoelectric solids, [PhD Dissetation], Stanford University. 1980
- Pak YE. Crack extension force in a piezoelectric material.J Appl Mech, 1990, 57: 647–653
MATH Google Scholar - Sosa H. On the fracture mechanics of piezoelectric solids.Int J Solids Structures, 1992, 29: 2613–2622
Article MATH Google Scholar - Suo Z, Kuo CM, Barnett DM, et al. Fracture mechanics for piezoelectric ceramics.J Mech Phys Solids, 1992, 40: 739–765
Article MATH MathSciNet Google Scholar - Park SB, Sun CT. Effect of electric field on fracture of piezoelectric ceramics.Int J Fracture, 1995, 70: 203–216
Article Google Scholar - Zhang TY, Tong P. Fracture mechanics for a mode III crack in a piezoelectric material.Int J Solids Structures, 1996, 33: 343–359
Article MATH Google Scholar - Zhang TY, Qian CF, Tong P. Linear electro-elastic analysis of a cavity or a crack in a piezoelectric material.Int J Solids Structures, 1998, 35: 2121–2149
Article MATH Google Scholar - Gao H, Zhang TY, Tong P. Local and global energy rates for an elastically yielded crack in piezoelectric ceramics.J Mech Phys Solids, 1997, 45: 491–510
Article Google Scholar - McMeeking RM. Towards a fracture mechanics for brittle piezoelectric and dielectric materials.Int J Fracture, 2001, 108: 25–41
Article Google Scholar - Fulton CC, Cao H. Electrical non-linearity in fracture of piezoelectric ceramics.Appl Mech Rev, 1997, 50: 1–8
Article Google Scholar - Narita K, Shindo Y. Anti-plane shear crack growth rate of piezoelectric ceramic body with finite width.Theoret Appl Fracture Mech, 1998, 30: 127–132
Article Google Scholar - Sosa HA, Pak YE. Three-dimensional eigenfunction analysis of a crack in a piezoelectric ceramics.Int J Solids Structures, 1990, 26: 1–15
Article MATH Google Scholar - Zhou ZG, Wang B, Cao MS. Analysis of two collinear cracks in a piezoelectric layer bonded to dissimilar half spaces subjected to anti-plane shear.European J Mech, A/Solids, 2001, 20: 213–226
Article MATH Google Scholar - Eringen AC, Speziale CG, Kim BS. Crack tip problem in non-local elasticity.J Mech Phys Solids, 1977, 25: 339–355
Article MATH MathSciNet Google Scholar - Eringen AC. Linear crack subject to shear.Int J Fracture, 1978, 14: 367–379
Article MathSciNet Google Scholar - Eringen AC. Linear crack subject to anti-plane shear.Eng Fracture Mech, 1979, 12: 211–219
Article Google Scholar - Zhou ZG, Du SY, Wang B. On anti-plane shear behavior of a Griffith permeable crack in piezoelectric materials by use of the non-local theory.Acta Mechanica Sinica, 2003, 19(2): 181–188
Article Google Scholar - Nowinski JL. On non-local aspects of the propagation of love waves.Int J Engng Sci, 1984, 22: 383–392
Article MATH Google Scholar - Nowinski JL. On non-local theory of wave propagation in elastic plates.ASME J Appl Mech, 1984, 51: 608–613
Article Google Scholar - Eringen AC. Non-local elasticity and waves. In: Thoft-Christensen P ed. Continuum Mechanics Aspects of Geodynamics and Rock Fracture Mechanics. Holland: Dordrecht, 1974. 81–105
Google Scholar - Eringen AC. Continuum mechanics at the atomic scale.Crystal Lattice Defects, 1977, 7: 109–130
Google Scholar - Srivastava KN, Palaiya RM, Karaulia DS. Interaction of shear waves with two coplanar Griffith cracks situated in an infinitely long elastic strip.Int J Fracture, 1983, 23: 3–14
Article Google Scholar - Yu SW, Chen ZT. Transient response of a cracked infinite piezoelectric strip under anti-plane impact.Fatigue Engng Materials Structures, 1998, 21: 1381–1388
Article Google Scholar - Eringen AC. On differential equations of non-local elasticity and solutions of screw dislocation and surface waves.J Appl Phys, 1983, 54: 4703
Article Google Scholar - Morse PM, Feshbach H. Methods of Theoretical Physics. Vol. 1, New York: McGraw-Hill, 1958
Google Scholar - Gradshteyn IS, Ryzhik IM. Table of integral, series and products. New York: Academic Press, 1980
Google Scholar - Erdelyi A. Tables of Integral Transforms. Vol. 1, New York: McGraw-Hill, 1954
MATH Google Scholar - Itou S. Three dimensional waves propagation in a cracked elastic solid.ASME J Appl Mech, 1978, 45: 807–811
MATH Google Scholar - Zhou ZG, Wang B, Du SY. Scattering of harmonic anti-plane shear waves by a finite crack by using the non-local theory.Int J Fracture, 1998, 91: 13–22
Article Google Scholar - Zhou ZG, Shen YP. Investigation of the scattering of harmonic shear waves by two collinear cracks using the non-local theory.Acta Mechanica, 1999, 135: 169–179
Article MATH Google Scholar - Eringen AC. Interaction of a dislocation with a crack.J Appl Phys, 1983, 54: 6811
Article Google Scholar