Instability of Finite Amplitude Elastic Waves

1985 ◽  
pp. 319-325
Author(s):  
Fritz John
Keyword(s):  
Elastic Waves ◽  
Finite Amplitude

scholarly journals Some results on finite amplitude elastic waves propagating in rotating media

2004 ◽  
Vol 173 (1-4) ◽  
pp. 19-31 ◽  
Author(s):  
M. Destrade ◽  
G. Saccomandi
Keyword(s):  
Elastic Waves ◽  
Finite Amplitude

Some results on finite amplitude elastic waves

1967 ◽  
Vol 3 (2) ◽  
pp. 167-181 ◽  
Author(s):  
M. M. Carroll
Keyword(s):  
Elastic Waves ◽  
Finite Amplitude

Reflection and Transmission of Circularly Polarized Elastic Waves of Finite Amplitude

1979 ◽  
Vol 46 (4) ◽  
pp. 867-872 ◽  
Author(s):  
M. M. Carroll
Keyword(s):  
Elastic Waves ◽  
Finite Elasticity ◽  
Elliptic Functions ◽  
Finite Amplitude ◽  
Plane Boundary ◽  
Elastic Solids ◽  
Jacobian Elliptic Functions ◽  
Reflection And Transmission ◽  
The Third ◽  
Fixed Boundaries

Finite amplitude standing wave solutions, obtained previously, are specialized to the case of incompressible isotropic elastic solids with cubic or quintic shear response. This allows closed-form expressions for the motion and stress field, in terms of Jacobian elliptic functions and elliptic integrals and furnishes solutions for approximate finite elasticity theories in which terms up to sixth degree in the stress and strains are retained. The solutions for reflection from free or fixed boundaries, for resonant standing waves in a plate, and for reflection and transmission at a plane boundary are examined in the context of the third and fourth-order approximations.

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