continuum mechanics

In armchair graphene sheets, crack propagates perpendicular to the applied strain, whereas crack propagation in zigzag sheets occurs at an angle to the straining direction. This occurs due to different bond structure along armchair and zigzag directions as shown in Fig. 1. Videos 1 and 2 show the fracture of armchair and zigzag sheets, respectively.

Fig. 1: Armchair and zigzag directions of graohene

I attach some class notes developed by the late Professor Donald Carlson from which many generations of students at the University of Illinois learnt Continuum Mechanics.

Linear algebra is significant to many aspects of mechanics.  For some years I have been using the book by Shilov.  But this book may or may not be a good one to recommend to a student, depending on his or her prior experience.  On StackExchange Mathematics, there are several excellent threads discussing textbooks of linear algebra.  A particular recommendation was made for

Amit Acharya         Claude Fressengeas

Springer Proceedings in Mathematics and Statistics on Differential Geometry and Continuum Mechanics, Vol. 137, pages 123-165. Ed: G. Q Chen, M. Grinfeld, R.J. Knops (Proceedings of  Workshop held at the Intl. Centre for Mathematical Sciences in Edinburgh, 2013.)

We cordially invite you to participate in at the 3rd African Conference on Computational Mechanics - An International Conference – AfriCOMP13 (July 30 – August 2, 2013, Livingston, Zambia) by giving a talk in our minisymposium "Computational modeling of nano- and microstructured materials". 

The Helmholtz-Institute of Materials Research in Geesthacht, Germany, invites applications for a Scientific researcher m/f.
The position is initially limited for one year with the possibility of an additional three-year-extension (starting as soon as possible).

Hossein Pourmatin     Amit Acharya       Kaushik Dayal

(to appear in Quarterly of Applied Mathematics)