Reflection of Longitudinal Wave in the Micropolar Elasticity with Voids

2020 ◽  
pp. 2050035
Author(s):  
R. Lianngenga ◽  
J. Lalvohbika ◽  
Lalawmpuia Tochhawng ◽  
L. P. Lalduhawma ◽  
Denghmingliani Zadeng
Keyword(s):  
Free Boundary ◽  
Longitudinal Wave ◽  
Volume Fraction ◽  
Micropolar Elasticity ◽  
Elastic Materials ◽  
Reflected Waves ◽  
Longitudinal Waves ◽  
Materials With Voids ◽  
Energy Ratios ◽  
Elastic Materials With Voids

By considering no more interaction between wryness tensor and change in voids volume fraction in the materials, the reflection problem of plane longitudinal waves at a free boundary of micropolar elastic materials with voids has been investigated. We have obtained the amplitude and energy ratios of reflected waves for the incident longitudinal wave by using appropriate boundary conditions. The effect of void parameters in the nondimensional wavenumber, amplitude and energy ratios are computed numerically for the particular material’s model.

A plane strain problem in the theory of elastic materials with voids

2019 ◽  
Vol 25 (1) ◽  
pp. 46-59 ◽  
Author(s):  
Simona De Cicco ◽  
Fabio De Angelis
Keyword(s):  
Plane Strain ◽  
Classical Theory ◽  
Displacement Field ◽  
Volume Fraction ◽  
Theory Of Elasticity ◽  
Field Equations ◽  
Elastic Materials ◽  
Plane Strain Problem ◽  
Materials With Voids ◽  
Elastic Materials With Voids

This article is concerned with the linear theory of elastic materials with voids. With respect to the classical theory of elasticity, this model is characterized by four independent kinematic variables: the displacement field [Formula: see text][Formula: see text] and the change in volume fraction [Formula: see text]. First, we present the field equations in the equilibrium theory and derive the equations of the plane strain problem. Then, the problem of a cylindrical rigid inclusion in an infinite body is investigated. The results are obtained in closed form. The solution can be considered as a generalization of the corresponding problem in the classical theory of elasticity. The displacement field and the stresses are expressed by mean of explicit formulas. The maximum tensile stress and the stress concentration factor are calculated.

scholarly journals Effect of mechanical relaxation time in elastic materials with voids

2019 ◽  
Vol 19 (2) ◽  
pp. 51-58
Author(s):  
R. Lianngenga ◽  
L. Thangmawia
Keyword(s):  
Relaxation Time ◽  
Phase Speed ◽  
Plane Boundary ◽  
Mechanical Relaxation ◽  
Elastic Materials ◽  
Attenuation Coefficients ◽  
Reflected Waves ◽  
Materials With Voids ◽  
Incident Waves ◽  
Elastic Materials With Voids

The effect of mechanical relaxation time in the elastic wave propagation in elastic materials with voids is investigated. The phase speed and the attenuation coefficients are obtained and observed the effect of mechanical relaxation time. The phenomenon of reflection of elastic waves due to the incident waves from a plane boundary of elastic materials with voids is studied. The amplitude and energy ratios of the reflected waves are obtained. Numerically these ratios, phase speeds and the corresponding attenuation coefficients are computed for a particular model and the effect of mechanical relaxation time is discussed.

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