Topic of Research Seminar: Wave Propagation in Elastic Solids: From Linearized Elasticity to Canonical Solutions and Applications

Abstract: Elastic waves are mechanical disturbances that travel through elastic solids and play an important role in understanding a variety of phenomena, including seismic activity and ultrasonic imaging. This talk builds on the linearized elasticity framework by deriving stress-strain relations and governing wave equations from continuum mechanics concepts. Using the Christoffel eigenvalue problem, three classic wave classes are identified: bulk, surface, and guided waves, with a focus on the Rayleigh equation and its unique solution for surface waves. These modes are investigated using mathematical formulation and physical interpretation, laying the groundwork for applications in seismology, nondestructive testing, structural health monitoring, and medical diagnostics. Emerging possibilities are also examined, emphasizing the growing role of elastic wave theory in modern science and engineering.

Subject Field of Topic: Continuum Mechanics

Name of Speaker: Ms. Wardah Aroosh Afzal

Professorial Rank of Speaker: PhD Student (Mathematics Dpt.) SNS – NUST

Email of Speaker: [email protected]

Affiliation of Speaker: School of Natural Sciences (SNS-NUST)

Date and Venue: (Wednesday) 12 November, 2025, 03:30 PM, Room # 403 Old Building, School of Natural Sciences (SNS), NUST Islamabad