Torsion in Microstructure Hollow Thick-Walled Circular Cylinder Made up of Orthotropic Material
Subject Areas : Engineering
S Yadav
1
(Department of Mathematics, Jaypee Institute of Information Technology, Noida, India)
S Sharma
2
(Department of Mathematics, Jaypee Institute of Information Technology, Noida, India)
Keywords:
Abstract :
[1] Pagano N.J., Sih G.C., 1968, Stress singularities around a crack in a cosserat plate, International Journal of Solids and Structures 4(5): 531-553.
[2] Fatemi J., Onck P.R., Poort G., van Keulen F., 2003, Cosserat moduli of anisotropic cancellous bone: A micromechanical analysis, Journal de Physique IV 105: 273-280.
[3] Eringen A.C., 1966, Linear theory of micropolar elasticity, Journal of Mathematics and Mechanics 15: 909-923.
[4] Eringen A.C., 1999, Microcontinuum Field Theories, Springer, Berlin edition.
[5] Altenbach H., Eremeyev V.A., 2010, Thin-walled structures made of foams, Cellular and Porous Materials in Structures and Processes 2010: 167-242.
[6] Gauthier R.D., Jahsman W.E., 1975, A quest for micropolar elastic constants, Journal of Applied Mechanics 42(2): 369-374.
[7] Merkel A., Tournat V., Gusev V., 2011, Experimental evidence of rotational elastic waves in granular phononic crystals, Physical Review Letters 107(22): 225502.
[8] Kvasov R., Steinberg L., 2013, Numerical modeling of bending of micropolar plates, Thin-Walled Structures 69: 67-78.
[9] Hadjesfandiari A.R., Dargush G.F., 2014, Evolution of generalized couple-stress continuum theories: A critical analysis, Physics 2014:1501.03112.
[10] Hadjesfandiari A.R., Dargush G.F., 2013, Fundamental solutions for isotropic size-dependent couple stress elasticity, International Journal of Solids and Structures 50(9): 1253-1265.
[11] Taliercio A., Veber D., 2009, Some problems of linear elasticity for cylinders in micropolar orthotropic material, International Journal of Solids and Structures 46(22): 3948-3963.
[12] Taliercio A., 2010, Torsion of micropolar hollow circular cylinders, Mechanics Research Communications 37(4): 406-411.
[13] Sharma S., Yadav S., Sharma R., 2015, Thermal creep analysis of functionally graded thick-walled cylinder subjected to torsion and internal and external pressure, Journal of Solid Mechanics 9(2): 302-318.
[14] Taliercio A., Veber D., 2016, Torsion of elastic anisotropic micropolar cylindrical bars, European Journal of Mechanics-A/Solids 55: 45-56.
[15] Smith A., 1970, Torsion and vibrations of cylinders of a micropolar elastic solid, Recent Advances in Engineering Science 5:129-137.
[16] Reddy G.V.K., Venkatasubramanian N.K., 1976, Saint-venant's problem for a micropolar elastic circular cylinder, International Journal of Engineering Science 14(11): 1047-1057.
[17] Eringen A.C., 1968,Theory of Micropolar Elasticity, New York, Academic Press.
