Prescribing  Surface Strains to change Gauss curvature

To change Gauss curvature K of a surface we need to strain each differential shell element by virtue of Egregium theorem ( K is invariant if strain is zero in isometry mappings).

Can someone help with a geometrical problem where imposed strains are to be defined (at differential shell element level of a right circular cylinder) to obtain a surface of revolution with Gauss curvature +1 or -1 (sphere or pseudosphere) ? Or their isometric equivalents? Cylindrical coordinates may be used.

Description:  Postdoc position in growth and remodeling in the Nguyen Lab, Department of Mechanical Engineering, The Johns Hopkins University

These notes are a part of the notes on linear algebra.

http://dx.doi.org/10.1016/j.jmps.2016.08.002

Abstract

http://dx.doi.org/10.1016/j.scriptamat.2016.06.018

Abstract

Wei Cai and Bill Nix, of Stanford University, have just published a new textbook Imperfections in Crystalline Solids.  You can look at the first chapter at the website of the Cambridge University Press.  

A wide range of engineered and natural composites exhibit a layered architecture whereby individual building blocks are assembled layer by layer using cohesive interfaces. We present a novel mechanism for evolving acoustic band gap structure in a model system of these composites through patterning the microstructure in a way that triggers non-planar interfacial deformations between the layers as they are stretched.

This paper is dedicated to the memory of my friend Professor Bill Klug whose life was tragically cut short on June 1, 2016.

The Department of Aerospace Engineering and Mechanics (AEM) at The University of Alabama invites applications for two tenure-track faculty positions in areas related to space/astronautics and unmanned aerial systems (UAS). The successful applicant for the space/astronautics position will contribute to the department’s emerging space technology research thrust. The successful applicant for the UAS position will contribute to a University-led effort to establish an airborne/spaceborne remote sensing center of excellence.

This paper compares the variational iteration method (VIM), the Adomian decomposition method (ADM) and the Picard iteration method (PIM) for solving a system of first order nonlinear ordinary differential equations (ODEs). A unification of the concepts underlying these three methods is attempted by considering a very general iterative algorithm for VIM. It is found that all the three methods can be regarded as special cases of using a very general matrix of Lagrange multipliers in the iterative algorithm of VIM.