Related Experiment Video
Updated: Jan 18, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Analysis of localized bending waves in a viscoelastic plate-foundation structure
1Department of Mathematics, Indian Institute of Technology Indore, Simrol, Indore-453552, Madhya Pradesh, India.
None:
In this model, linear viscosity is examined in terms of the phenomenological effects of edge waves on a plate-foundation structure. To establish the parametric conditions for the existence of the real frequency of bending waves within the framework of linear viscoelasticity, an asymptotic approximation method is applied to the complex dispersion relation. Then, the region of wave propagation for various scenarios is investigated analytically and graphically. The energy dissipation of the edge wave is examined by measuring the dissipation factor in the long-wave, low-frequency, and low-viscosity regions. This study established that the minimum value of the phase velocity (or the maximum value of the real slowness) depends strictly on the foundation modulus and the couple stress constant.
Related Concept Videos
Members Made of Elastoplastic Material
As the bending moment...
Flexural Stress
Hooke's Law states that within the material's elastic limits, stress is directly proportional to strain. In a member experiencing a bending moment, the strain at any point is relative to its distance...
Residual Stresses in Bending
Elastic Curve from the Load Distribution
For all beams, the analysis of the beam's reaction to distributed loads begins by understanding the relationship between a beam's load and the resulting shear forces and bending moments. Initially, this...
Bending of Curved Members - Strain Analysis
The important part of bending analysis for such a member...
Stresses under Combined Loadings
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...

