An operator expansions method for computing Dirichlet–Neumann operators in linear elastodynamics

2014 ◽  
Vol 272 ◽  
pp. 266-278 ◽  
Author(s):  
Zheng Fang ◽  
David P. Nicholls
Keyword(s):  
Linear Elastodynamics ◽  
Operator Expansions

Elastodynamics. Sinusoidal progressive waves

2020 ◽  
pp. 251-254
Author(s):  
Lallit Anand ◽  
Sanjay Govindjee
Keyword(s):  
Boundary Value Problem ◽  
Linear Elasticity ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Important Class ◽  
Linear Elastodynamics ◽  
Isotropic Media ◽  
Progressive Waves ◽  
Initial Boundary Value

This chapter briefly considers linear elasticity under circumstances in which inertial effects are accounted for, and states the initial-boundary-value-problem of linear elastodynamics. Sinusoidal progressive waves form an important class of solutions to the equations of linear elastodynamics. Such waves for isotropic media in the absence of a conventional body force are considered and it is shown that for an isotropic medium only two types of sinusoidal progressive waves are possible: longitudinal and transverse.

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