科研之友
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摘要
We show how the so-called von Karman model can be obtained as a singular limit of a Mindlin-Timoshenko system when the modulus of elasticity in shear k tends to infinity. This result gives a positive answer to a conjecture by Lagnese and Lions in 1988. Introducing damping mechanisms, we also show that the energy of solutions for this modified Mindlin-Timoshenko system decays exponentially, uniformly with respect to the parameter k. As k -> infinity, we obtain the damped von Karman model with associated energy exponentially decaying to zero as well.
- 出版日期2018
