Oz Oshri ביה"ס להנדסה מכאנית

School of Mechanical Engineering Seminar
Monday, June 6, 2016 at 15:00
Wolfson Building of Mechanical Engineering, Room 206

Strain tensor selection and the elastic theory of incompatible thin sheets

Oz Oshri

School of Physics & Astronomy, Tel Aviv University

We re-examine the present theory of incompatible elastic sheets [Efrati et al., J. Mech. Phys. Solids {\bf 57}, 762 (2009)]. When applied to compatible sheets, deformed uniaxially by pure bending moments, it generates spurious in-plane stresses. We present an alternative formulation for a class of simple axisymmetric problems. Our theory yields linear, exactly solvable, equations of equilibrium in the case of planar deformations, replacing the non-linear ones derived earlier for these problems. In addition, we obtain a simple criterion determining whether an isometric immersion of such sheets satisfies mechanical equilibrium. When reduced to unidirectional (one-dimensional) deformations the formulation correctly converges to the extensible elastica.

bio:
BSc. Mechanical Engineering, Tel Aviv University (2004).
MSc. Mechanical Engineering, Tel Aviv University (2005), advisor: Prof. Isaac Goldhirsch.
2012-Toward a PhD in Physics, advisor: Prof. Haim Diamant. Subject: Pattern formation in thin elastic sheets.