Reflection of Three-Dimensional Plane Waves in a Self-Reinforced Medium under Initial Stresses: Fid-Bau Portal

Fachinformationsdienst BAUdigital

A platform for research: civil engineering, architecture and urbanism

Reflection of Three-Dimensional Plane Waves in a Self-Reinforced Medium under Initial Stresses

Dhua, Sudarshan / Chatterjee, Mita / Chattopadhyay, Amares

The present paper deals with the reflection of three-dimensional plane waves at a traction-free boundary of a self-reinforced medium under initial stresses. The analytical expressions of all three phase velocities of quasi-compressional (qP), quasi-shear ( ${qS}_{1}$ and ${qS}_{2}$ ) waves in three dimensions under initial stresses have been obtained. The closed form expressions for the amplitude ratios of reflection coefficients of the three quasi waves in a self-reinforced medium in terms of the phase velocity, propagation vector, initial stresses, and the stiffness coefficients of the medium have also been obtained. The variations of reflected coefficients with the angle of incidence have been carried out numerically, and the results are given in the form of graphs.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Reflection of Three-Dimensional Plane Waves in a Self-Reinforced Medium under Initial Stresses

Dhua, Sudarshan / Chatterjee, Mita / Chattopadhyay, Amares

The present paper deals with the reflection of three-dimensional plane waves at a traction-free boundary of a self-reinforced medium under initial stresses. The analytical expressions of all three phase velocities of quasi-compressional (qP), quasi-shear ( ${qS}_{1}$ and ${qS}_{2}$ ) waves in three dimensions under initial stresses have been obtained. The closed form expressions for the amplitude ratios of reflection coefficients of the three quasi waves in a self-reinforced medium in terms of the phase velocity, propagation vector, initial stresses, and the stiffness coefficients of the medium have also been obtained. The variations of reflected coefficients with the angle of incidence have been carried out numerically, and the results are given in the form of graphs.

Reflection of Three-Dimensional Plane Waves in a Self-Reinforced Medium under Initial Stresses

Dhua, Sudarshan / Chatterjee, Mita / Chattopadhyay, Amares

The present paper deals with the reflection of three-dimensional plane waves at a traction-free boundary of a self-reinforced medium under initial stresses. The analytical expressions of all three phase velocities of quasi-compressional (qP), quasi-shear ( ${qS}_{1}$ and ${qS}_{2}$ ) waves in three dimensions under initial stresses have been obtained. The closed form expressions for the amplitude ratios of reflection coefficients of the three quasi waves in a self-reinforced medium in terms of the phase velocity, propagation vector, initial stresses, and the stiffness coefficients of the medium have also been obtained. The variations of reflected coefficients with the angle of incidence have been carried out numerically, and the results are given in the form of graphs.

Access

Check availability in my library

Order at Subito €

Page navigation

Document information

Export, share and cite

Document information

Title:

Reflection of Three-Dimensional Plane Waves in a Self-Reinforced Medium under Initial Stresses

Contributors:

Dhua, Sudarshan (author) / Chatterjee, Mita (author) / Chattopadhyay, Amares (author)

Published in:

Journal of Engineering Mechanics ; 142

Publication date:

2016-01-08

ISSN:

0733-9399 , 1943-7889

DOI:

https://doi.org/10.1061/(ASCE)EM.1943-7889.0001027

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

Unknown

Similar titles

Reflection of Three-Dimensional Plane Waves in a Self-Reinforced Medium under Initial Stresses

Dhua, Sudarshan | Online Contents | 2016

Reflection and Refraction for Three-Dimensional Plane Waves at the Interface between Distinct Anisotropic Half-Spaces under Initial Stresses

Chattopadhyay, Amares | Online Contents | 2016

Reflection and Refraction for Three-Dimensional Plane Waves at the Interface between Distinct Anisotropic Half-Spaces under Initial Stresses

Chatterjee, Mita / Dhua, Sudarshan / Chattopadhyay, Amares et al. | ASCE | 2016

Reflection and Refraction for Three-Dimensional Plane Waves at the Interface between Distinct Anisotropic Half-Spaces under Initial Stresses

Chattopadhyay, Amares | Online Contents | 2016

Plane arches under three-dimensional load stresses

Kurschilgen, W. | Engineering Index Backfile | 1930