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- W4286511202 abstract "In this short note, we consider some issues regarding the instability of some elastodynamical problems when the elasticity tensor is not positive definite. By using the so-called logarithmic convexity argument, we prove the instability of solutions when the time derivative of the elasticity tensor is semi-definite negative or it satisfies another restriction on the coefficients. The uniqueness of the solution is also concluded. Finally, a simple one-dimensional example is provided to demonstrate the numerical behaviour of the instability." @default.
- W4286511202 created "2022-07-22" @default.
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- W4286511202 date "2022-09-01" @default.
- W4286511202 modified "2023-09-26" @default.
- W4286511202 title "On the instability for an incremental problem in elastodynamics" @default.
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- W4286511202 doi "https://doi.org/10.1016/j.mechrescom.2022.103943" @default.
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