Bounds on the volume fraction of the two-phase shallow shell using one measurement

Details Bounds on the volume fraction of the two-phase shallow shell using one measurement Bounds on the volume fraction of the two-phase shallow shell using one measurement

2012-04-23

arxiv.org/abs/1204.4962v1

Mathematics

Analysis of PDEs

Scientific paper

We study the size estimate problem for the two-phase shallow shell equations
in this paper. Our aim is to derive bounds on the volume fraction of each phase
assuming that the material properties of the two phases are given. The approach
in this paper is based on the translation method. One of the key steps is to
connect the shallow shell equations to the thin plate equation.

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