A boundary element formulation for stress concentration problems in the context of couple-stress elasticity

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• Dr Gabriel Hattori, CUED
• Friday 24 May 2019, 15:30-16:00
• Cambridge University Engineering Department, LT6.

If you have a question about this talk, please contact Karen Mitchell.

The macroscopic behaviour of materials with non-homogeneous microstructure like composites, bones and concrete is strongly influenced by their material characteristic lengths. Standard continuum mechanics theories are inherently size independent. Couple-stress is the simplest generalised continuum mechanics theory that can encompass the possibility of predicting size effects.Its origins date back to the early works of the Cosserat brothers, and has attracted renewed attention from researchers recently. In this work, we derive a new set of fundamental solutions in closed form to be used conjointly with the boundary element method (BEM). A new boundary integral equation arises to obtain the moments and rotations introduced by the couple-stress formulation. We validate our proposed approach with analytical results obtained by Mindlin.

This talk is part of the Engineering Department Structures Research Seminars series.

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