Abstract
The influence of the smoothly changing beam height on delamination in multilayered inhomogeneous beam configurations consisting of longitudinal vertical layers is investigated. A solution to the strain energy release rate is obtained for a delamination crack located arbitrarily between the layers, assuming a linear change in the height over the beam length. The solution obtained is verified by considering the energy balance. The strain energy release rate is also analyzed for the cases of parabolic and tangent changes in the height over the beam length.
Similar content being viewed by others
REFERENCES
M. Finot and S. Suresh, “Small and Large Deformation of Thick and Thin-Film Multilayers: Effect of Layer Geometry and Compositional Gradients," J. Mech. Phys. Solids 44, 683–721 (1996).
J. Malzbender, “Mechanical and Thermal Stresses in Multilayered Materials," J. Appl. Phys. 95, 1780–1782 (2003).
J.-H. Yu, S. Guo, and D. A. Gillard, “Bimaterial Curvature Measurements for CTE of Adhesives: Optimization and Modelling," J. Adhes. Sci. Technol. 17, 149–164 (2003).
J. S. Kim, K. W. Paik, and S. H. Oh, “The Multilayer-Modified Stoney’s Formula for Laminated Polymer Composites on a Silicon Substrate," J. Appl. Phys. 86, 5474–5479 (1999).
F. G. Guadette, A. E. Giannapoulos, and S. Suresh, “Interfacial Cracks in Layered Materials Subjected to a Uniform Temperature Change," Int. J. Fracture 28, 5620–5629 (2001).
J. A. Narin, “On the Calculation of Energy Release Rates for Cracked Laminates with Residual Stresses," Int. J. Fracture139, 267–293 (2006).
C. H. Hsueh, W. H. Tuan, and W. C. J. Wei, “Analyses of Steady-State Interface Fracture of Elastic Multilayered Beams under Four-Point Bending," Scripta Mater. 60, 721–724 (2009).
V. I. Rizov, “An Analytical Solution to the Strain Energy Release Rate of a Crack in Functionally Graded Beams," Europ. J. Mech. A. Solids 65, 301–312 (2017).
V. I. Rizov, “Delamination in a Two-Dimensional Functionally Graded Beam," J. Appl. Mech. Tech. Phys. 59 (1), 146–152 (2018).
V. I. Rizov, “Nonlinear Delamination Analysis of Multilayered Functionally Graded Circular Shafts in Torsion," Prikl. Mekh. Tekh. Fiz. 59 (6), 165–173 (2018) [J. Appl. Mech. Tech. Phys. 59 (6), 1104–1110 (2018)].
M. Kishkilov and R. Apostolov, Introduction to Theory of Plasticity (UACEG, Sofia, 1994).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 1, pp. 55–62. https://doi.org/10.15372/PMTF20210106.
Rights and permissions
About this article
Cite this article
Rizov, V.I. DELAMINATION STUDY OF MULTILAYERED INHOMOGENEOUS BEAMS WITH A SMOOTHLY CHANGING HEIGHT. J Appl Mech Tech Phy 62, 49–56 (2021). https://doi.org/10.1134/S0021894421010065
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894421010065