scholarly journals Analysis of Axisymmetric and Non-Axisymmetric Wave Propagation in a Homogeneous Piezoelectric Solid Circular Cylinder of Transversely Isotropic Material

10.5772/6859 ◽  
2010 ◽  
Author(s):  
Michael Yu.
Keyword(s):  
Wave Propagation ◽  
Circular Cylinder ◽  
Isotropic Material ◽  
Transversely Isotropic ◽  
Transversely Isotropic Material ◽  
Axisymmetric Wave ◽  
Solid Circular Cylinder ◽  
Piezoelectric Solid

Thermo elastic-plastic transition of transversely isotropic thick-walled circular cylinder under internal and external pressure

2014 ◽  
Vol 10 (2) ◽  
pp. 211-227 ◽  
Author(s):  
Sanjeev Sharma ◽  
Ila Sahay ◽  
Ravindra Kumar
Keyword(s):  
Circular Cylinder ◽  
Thermal Effects ◽  
Isotropic Material ◽  
Transversely Isotropic ◽  
External Pressure ◽  
Transition Theory ◽  
Percentage Increase ◽  
Transversely Isotropic Material ◽  
Effective Pressure ◽  
Content Type

Purpose – The purpose of this paper is to provide the guidance on a design and integrity evaluation of a cylinder under pressure, for which stress analysis has been done for transversely isotropic thick-walled circular cylinder under internal and external pressure with thermal effects. Design/methodology/approach – Transition theory has been used to evaluate plastic stresses based on the concept of generalized principal Lebesgue strain measure which simplifies the constitutive equations and helps to achieve better agreement between the theoretical and experimental results. Findings – It can be concluded that circular cylinder with thermal effects under internal and external pressure made of isotropic material (steel) is on the safer side of the design as compared to the cylinder made of transversely isotropic material (i.e. magnesium and beryl) because percentage increase in effective pressure required for initial yielding to become fully plastic is high for isotropic material (steel) as compared to transversely isotropic material (i.e. magnesium and beryl). It can also be concluded that out of two transversely isotropic materials, beryl is better choice for design of cylinder as compared to magnesium material because percentage increase in effective pressure required for initial yielding to become fully plastic is high for beryl as compared to magnesium. Originality/value – A detailed investigation of thermal transversely isotropic thick-walled circular cylinder under internal and external pressure has been done which leads to the idea of “stress saving” that minimizes the possibility of fracture of cylinder.

scholarly journals Effect of the initial stress and rotation on free vibrations in transversely isotropic human long dry bone

2015 ◽  
Vol 23 (1) ◽  
pp. 171-184 ◽  
Author(s):  
S. R. Mahmoud ◽  
M. Marin ◽  
K.S. Al-Basyouni
Keyword(s):  
Wave Propagation ◽  
Phase Velocity ◽  
Initial Stress ◽  
Isotropic Material ◽  
Transversely Isotropic ◽  
Free Vibrations ◽  
Harmonic Waves ◽  
Transversely Isotropic Material ◽  
Harmonic Vibrations ◽  
Dry Bone

Abstract The object of the present paper is to study the influence of the initial stress and rotation on wave propagation of harmonic waves in a human long dry bone as transversely isotropic material, subject to the boundary conditions that the outer and inner surfaces are traction free. The equations of elastodynamic are solved in terms of displacements. The natural frequency of the plane vibrations in the case of harmonic vibrations has been obtained. The frequencies and the phase velocity are calculated numerically, the effects of the initial stress and rotation are discussed. Comparisons are made with the result in the absence of rotation and initial stress.

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