Rajneesh Kumar, Meenakshi Panchal. Effect of Loose Bonding on Reflection and Transmission of Elastic Waves at Interface Between Elastic Solid and Micropolar Porous Cubic Crystal[J]. Applied Mathematics and Mechanics, 2010, 31(5): 573-584. doi: 10.3879/j.issn.1000-0887.2010.05.008
Citation: Rajneesh Kumar, Meenakshi Panchal. Effect of Loose Bonding on Reflection and Transmission of Elastic Waves at Interface Between Elastic Solid and Micropolar Porous Cubic Crystal[J]. Applied Mathematics and Mechanics, 2010, 31(5): 573-584. doi: 10.3879/j.issn.1000-0887.2010.05.008

Effect of Loose Bonding on Reflection and Transmission of Elastic Waves at Interface Between Elastic Solid and Micropolar Porous Cubic Crystal

doi: 10.3879/j.issn.1000-0887.2010.05.008
  • Received Date: 1900-01-01
  • Rev Recd Date: 2010-01-14
  • Publish Date: 2010-05-15
  • The problem of reflection and transmission of plane periodic waves incident on the interface between loosely-bonded elastic solid and micropolar porouscubic crystal half spaces was investigated by assum ing that the in terface behaves like adislocation which preserves the continuity of traction while allowing a finite amount of slip. Amplitude ratios of various reflected and transmitted waves were depicted graphically. Some special cases of in terest also were deduced from the present investigation.
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  • [1]
    Nunziato J W, Cowin S C. A non-linear theory of elastic materials with voids[J]. Archive Rational Mechanics and Analysis, 1979, 72(2): 175-201.
    [2]
    Cowin S C, Nunziato J W. Linear elastic materials with voids[J]. Journal of Elasticity, 1983, 13(2): 125-147. doi: 10.1007/BF00041230
    [3]
    Suhubi E S, Eringen A C. Non-linear theory of simple microelastic solids Ⅱ[J]. International Journal of Engineering Science, 1964, 2: 389-404. doi: 10.1016/0020-7225(64)90017-5
    [4]
    Eringen A C. Microcontinuum Field Theories Ⅰ: Foundations and Solids[M]. New York: Springer-Verlag, 1999.
    [5]
    Mindlin R D. Microstructure in linear elasticity[J]. Archive Rational Mechanics and Analysis, 1964, 16(1): 51-78.
    [6]
    Eringen A C. Linear theory of micropolar elasticity[J]. Journal of Mathematics and Mechanics, 1966, 15(6): 909-923.
    [7]
    Scarpetta E. On the fundamental solutions in micropolar elasticity with voids[J]. Acta Mechanica, 1990, 82(3/4): 151-158. doi: 10.1007/BF01173624
    [8]
    Passarella F. Some results in micropolar thermoelasticity[J]. Mechanics Research Communications, 1996, 23(4): 349-357. doi: 10.1016/0093-6413(96)00032-8
    [9]
    Marin M. Some basic theorems in elastostatics of micropolar materials with voids[J]. Journal of Computational and Applied Mathematics, 1996, 70(1): 115-126. doi: 10.1016/0377-0427(95)00137-9
    [10]
    Minagawa S, Arakawa K, Yamada M. Dispersion curves for waves with reference to estimations of the material constant for diamond[J]. Bulletin of JSME, 1981, 24(187): 22-28. doi: 10.1299/jsme1958.24.22
    [11]
    Atanackovic T M, Guran A. Theory of Elasticity for Scientists and Engineers[M]. Birkhauser, 2000.
    [12]
    Murti G S. Reflection, transmission and attenuation of elastic waves at a loosely-bonded interface of two half spaces[J]. Geophys J R Astr Soc, 1976, 44(2): 389-404. doi: 10.1111/j.1365-246X.1976.tb03663.x
    [13]
    Eringen A C. Plane Waves in nonlocal micropolar elasticity[J]. International Journal of Engineering Science, 1984, 22(8/10): 1113-1121. doi: 10.1016/0020-7225(84)90112-5
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