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a question about XFEM

Hellow everyone,

I've been studying XFEM method in Abaqus these days, then i want to model an inclusion problem to see the crack initiation and propagation at the interface. First i sketch a square to stand for a unit cell, then in order to assign different sections to inclusion and matrix, i cut a circle (circular inclusion) from the initial square. But when it comes to meshing, i don't know how to mesh the instance with structral quad elements independantly of the outline of the inclusion. Could anyone help me?

About constutive relation of elastic membranes

Is there some theory to describe the constitutive relation of elastic membranes?There are lots of papers studying membranes mechanics of cells, but I just want to know the mechanics of ordinary membranes which are simplified from theories of plates and shells, can anyone tell me some papers or textbooks studying this?(I've found a brief description on Allan Bower's web page, but that's too brief...)

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