Effects of Three-Axial Material Inhomogeneity on Lengthwise Cracks in Non-Linear Elastic Beams
of elasticity varies linearly along the width, height and length of beams. A solution to the strain energy release rate is derived by considering the balance of the energy. The results obtained in the present paper indicate that the three-axial inhomogeneous material properties have a significant influence on the strain energy release rate in non-linear elastic beams.
Tokovyy Yu., Ma C.-C, Axisymmetric stresses in an elastic radially inhomogeneous cylinder under length-varying loadings, ASME Journal of Applied Mechanics, 83(11), 7 pages, 2016, doi: 10.1115/1.4034459, 2016.
Tokovyy Yu.V., Rychahivs’kyi A.V, Analytic solution of the plane problem of the theory of elasticity fora nonuniform strip, Mater Sci., 41(1): 135–138, 2005.
Tokovyy Yu., Ma C.-C, Three-dimensional temperature and thermal stress analysis of an inhomogeneous layer, Journal of Thermal Stresses, 36: 790–808, 2018, doi: 10.1080/01495739.2013.787853.
Gasik M.M., Functionally graded materials: bulk processing techniques, International Journal of Materials and Product Technology, 39: 20–29, 2010.
Bohidar S.K., Sharma R., Mishra P.R., Functionally graded materials: A critical review, International Journal of Research, 1(4): 289–301, 2014.
Al-Huniti N. S., Alahmad S. T., Transient thermo-mechanical response of a functionally graded beam under the effect of a moving heat source, Advances in Materials Research, 6(1): 27–43, 2017.
Rizov V., An analytical solution to the strain energy release rate of a crack in functionally graded beams, European Journal of Mechanics-A/Solids, 65(6): 301–312, 2017.
Rizov V., Fracture analysis of functionally graded beams with considering material non-linearity, Structural Engineering and Mechanics, 64(4): 487–494, 2017.
Rizov V., Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity, Frattura ed Integrità Strutturale, 41: 498–510, 2017.
Lubliner J., Plasticity Theory (Revised edition), University of California, Berkeley, CA, 2006.
Rizov V.I., Delamination in a two-dimensional functionally graded beam, Journal of Applied Mechanics and Technical Physics, 59: 146–152, 2018.
Rizov V. I., Delamination analysis of a layered elastic-plastic beam, International Journal of Structural Integrity, 8(5): 516–529, 2017.
Hsueh C. H., Tuan W. H., Wei W. C. J., Analyses of steady-state interface fracture of elastic multilayered beams under four-point bending, Scripta Materialia, 60: 721–724, 2009.
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