Rotating Variable-Thickness Inhomogeneous Cylinders: Part II—Viscoelastic Solutions and Applications

References

[1] I. E. Troyanovskii and M. A. Koltunov, “Temperature Stresses in a Long Hollow Viscoelastic Cylinder with Variable Inner Boundary,” Mekhanika Polimerov, Vol. 5, No. 2, 1969, pp. 219-226.

[2]
M. A. Koltunov and I. E. Troyanovskii, “State of Stress of a Hollow Viscoelastic Cylinder Whose Material Properties Depend on Temperature,” Mechanics of Composite Materials, Vol. 6, No. 1, 1970, pp. 72-79.

[3]
E. C. Ting and J. L. Tuan, “Effect of Cyclic Internal Pressure on the Temperature Distribution in a Viscoelastic Cylinder,” International Journal of Mechanical Sciences, Vol. 15, No. 11, 1973, pp. 861-871.

[4]
L. Kh. Talybly, “Deformation of a Viscoelastic Cylinder Fastened to a Housing under Non-Isothermal Dynamic Loading,” Journal of Applied Mathematics and Mechanics, Vol. 54, No. 1, 1990, pp. 74-82.

[5]
W. W. Feng, T. Hung and G. Chang, “Extension and Torsion of Hyperviscoelastic Cylinders,” International Journal of Non-Linear Mechanics, Vol. 27, No. 3, 1992, pp. 329-335.

[6]
V. G. Karnaukhov and I. K. Senchenkov, “ThermomeChanical Behavior of a Viscoelastic Finite Circular Cylinder under Harmonic Deformations,” Journal of Engineering Mathematics, Vol. 46, No. 3-4, 2003, pp. 299-312.

[7]
D. Bland, “The Linear Theory of Viscoelasticity,” Pergamon Press, New York, 1960.

[8] D. Abolinsh, “Elasticity Tensor for Unidirectionally Reinforced Elastic Material,” Polymer Mechanics, Vol. 4, No. 1, 1965, pp. 25-59.

[9]
A. A. Illyushin and B. E. Pobedria, “Foundations of Ma-
thematical Theory of Thermo-Viscoelasticity,” in Russian, Nauka, Moscow, 1970.

[10]
M. N. M. Allam and P. G. Appleby, “On the Plane Deformation of Fiber-Reinforced Viscoelastic Plates,” Applied Mathematical Modelling, Vol. 9, No. 5, 1985, pp. 341-346.

[11]
M. N. M. Allam and P. G. Appleby, “On the Stress Concentrations around a Circular Hole in a Fiber-Reinforced Viscoelastic Plate,” Res Mechanica, Vol. 19, No. 2, 1986,
pp. 113-126.

[12]
M. N. M. Allam and A. M. Zenkour, “Bending Response of a Fiber-Reinforced Viscoelastic Arched Bridge Model,” Applied Mathematical Modelling, Vol. 27, No. 3, 2003, pp. 233-248.

[13]
A. M. Zenkour and M. N. M. Allam, “Stresses around Filled and Unfilled Circular Holes in a Fiber-Reinforced Viscoelastic Plate under Bending,” Mechanics of Advanced Materials and Structures, Vol. 12, No. 6, 2005, pp. 379-389.

[14]
A. M. Zenkour and M. N. M. Allam, “On the Rotating Fiber-Reinforced Viscoelastic Composite Solid and Annular Disks of Variable Thickness,” International Journal for Computational Methods in Engineering Science and Mechanics, Vol. 7, No. 1, 2006, pp. 21-31.

[15]
M. N. M. Allam, A. M. Zenkour and H. F. El-Mekawy, “Stress Concentrations in a Viscoelastic Composite Plate Weakened by a Triangular Hole,” Composite Structures, Vol. 79, No. 1, 2007, pp. 1-11.

[16] A. M. Zenkour, K. A. Elsibai and D. S. Mashat, “Elastic and Viscoelastic Solutions to Rotating Functionally Graded Hollow and Solid Cylinders,” Applied Mathematics and Mechanics - English Edition, Vol. 29, No. 12, 2008, pp. 1601-1616.

[17]
A. E. Bogdanovich and C. M Pastore, “Mechanics of Textile and Laminated Composites with Applications to Structural Analysis,” Chapman and Hall, New York, 1996.

[18]
B. E. Pobedria, “Structural Anisotropy in Viscoelasticity,” Mechanics of Composite Materials, Vol. 12, No. 4, 1976, pp. 557-561.

[19]
A. M. Zenkour, “Thermal Effects on the Bending Response of Fiber-Reinforced Viscoelastic Composite Plates using a Sinusoidal Shear Deformation Theory,” Acta Mechanica, Vol. 171, No. 3-4, 2004, pp. 171-187.

[20] M. N. M. Allam and B. E. Pobedria, “On the Solution of Quasi-Statical Problems of Anisotropic Viscoelasticity,” Izv. Acad. Nauk ArSSR, In Russian, Mechanics, Vol. 31, No. 1, 1978, pp. 19-27.