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Alternative spatial growth and decay estimates for constrained motion in an elastic cylinder with voids. (English) Zbl 1265.74008

The author presents a study of the alternative spatial growth and decay behavior for the motion of a finite or semi-infinite cylinder composed of a non-homogeneous anisotropic linear elastic material with voids subject to null supply terms and null lateral boundary conditions. The estimates are derived from a differential inequality depending on the cross-sectional energy flux. An explicit bound, in terms of the problem data, is constructed for the amplitude in each decay estimate.

MSC:

74B05 Classical linear elasticity
74E20 Granularity
35B45 A priori estimates in context of PDEs
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